input stringlengths 13 66 | output stringlengths 30 276 |
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Find x and y such that
4x + 10y = 788/45
1x + 1y = 122/45 | 4x + 10y = 788/45
1x + 1y = 122/45
Using elimination
1*(4x + 10y = 788/45)
4*(1x + 1y = 122/45)
4x + 10y = 788/45
4x + 4y = 488/45
Subtract equations
6y = 20/3
y = 20/3/6
y = 10/9
Substitute y
4x + 10(10/9) = 788/45
4x = 32/5
x = 32/5/4
x = 8/5 |
Solve quickly: 10x - 160 = 0 | 10x - 160 = 0
10x = 160
x = 160 / 10
x = 16 |
Determine x in x^3 + 91/5x^2 + 14/5x - 72/5 = 0 | x^3 + 91/5x^2 + 14/5x - 72/5 = 0
(x - -1)(x - -18)(x - 4/5) = 0
x - -1 = 0
x - -18 = 0
x - 4/5 = 0
x = -1
x = -18
x = 4/5 |
Solve the equations:
9x + 3y = 1/2
7x + 3y = 5/2 | 9x + 3y = 1/2
7x + 3y = 5/2
Using elimination
7*(9x + 3y = 1/2)
9*(7x + 3y = 5/2)
63x + 21y = 7/2
63x + 27y = 45/2
Subtract equations
-6y = -19
y = -19/-6
y = 19/6
Substitute y
9x + 3(19/6) = 1/2
9x = -9
x = -9/9
x = -1 |
Determine x in 2x - 15/4 = 0 | 2x - 15/4 = 0
2x = 15/4
x = 15/4 / 2
x = 15/8 |
Solve the equation x^2 + 1/2x - 1/2 = 0 | x^2 + 1/2x - 1/2 = 0
(x - 1/2)(x - -1) = 0
x - 1/2 = 0 or x - -1 = 0
x = 1/2
x = -1 |
Find the solution to 3x + 1/2 = 0 | 3x + 1/2 = 0
3x = -1/2
x = -1/2 / 3
x = -1/6 |
Solve quickly: x^2 - 7/18x - 104/27 = 0 | x^2 - 7/18x - 104/27 = 0
(x - 13/6)(x - -16/9) = 0
x - 13/6 = 0 or x - -16/9 = 0
x = 13/6
x = -16/9 |
Solve the equations:
5x + 9y = 42
4x + 4y = 296/9 | 5x + 9y = 42
4x + 4y = 296/9
Using elimination
4*(5x + 9y = 42)
5*(4x + 4y = 296/9)
20x + 36y = 168
20x + 20y = 1480/9
Subtract equations
16y = 32/9
y = 32/9/16
y = 2/9
Substitute y
5x + 9(2/9) = 42
5x = 40
x = 40/5
x = 8 |
Solve quickly: x^3 - 20/3x^2 = 0 | x^3 - 20/3x^2 = 0
(x - 20/3)(x - 0)(x - 0) = 0
x - 20/3 = 0
x - 0 = 0
x - 0 = 0
x = 20/3
x = 0
x = 0 |
Compute the solution of x^2 + 5/2x - 25/2 = 0 | x^2 + 5/2x - 25/2 = 0
(x - 5/2)(x - -5) = 0
x - 5/2 = 0 or x - -5 = 0
x = 5/2
x = -5 |
Solve 10x - 100 = 0 | 10x - 100 = 0
10x = 100
x = 100 / 10
x = 10 |
Solve simultaneously:
1x + 1y = -31/12
1x + 9y = 41/12 | 1x + 1y = -31/12
1x + 9y = 41/12
Using elimination
1*(1x + 1y = -31/12)
1*(1x + 9y = 41/12)
1x + 1y = -31/12
1x + 9y = 41/12
Subtract equations
-8y = -6
y = -6/-8
y = 3/4
Substitute y
1x + 1(3/4) = -31/12
1x = -10/3
x = -10/3/1
x = -10/3 |
Find x and y such that
6x + 5y = 43/4
2x + 4y = 3 | 6x + 5y = 43/4
2x + 4y = 3
Using elimination
2*(6x + 5y = 43/4)
6*(2x + 4y = 3)
12x + 10y = 43/2
12x + 24y = 18
Subtract equations
-14y = 7/2
y = 7/2/-14
y = -1/4
Substitute y
6x + 5(-1/4) = 43/4
6x = 12
x = 12/6
x = 2 |
Solve quickly: x^3 - 17/7x^2 - 460/63x + 100/7 = 0 | x^3 - 17/7x^2 - 460/63x + 100/7 = 0
(x - 10/3)(x - -18/7)(x - 5/3) = 0
x - 10/3 = 0
x - -18/7 = 0
x - 5/3 = 0
x = 10/3
x = -18/7
x = 5/3 |
What value of x satisfies x^2 - 2/3x - 16/3 = 0 | x^2 - 2/3x - 16/3 = 0
(x - 8/3)(x - -2) = 0
x - 8/3 = 0 or x - -2 = 0
x = 8/3
x = -2 |
Find x and y such that
7x + 5y = 40/3
5x + 7y = 80/3 | 7x + 5y = 40/3
5x + 7y = 80/3
Using elimination
5*(7x + 5y = 40/3)
7*(5x + 7y = 80/3)
35x + 25y = 200/3
35x + 49y = 560/3
Subtract equations
-24y = -120
y = -120/-24
y = 5
Substitute y
7x + 5(5) = 40/3
7x = -35/3
x = -35/3/7
x = -5/3 |
What value of x satisfies x^2 + 61/5x - 52/5 = 0 | x^2 + 61/5x - 52/5 = 0
(x - -13)(x - 4/5) = 0
x - -13 = 0 or x - 4/5 = 0
x = -13
x = 4/5 |
Solve the equations:
4x + 9y = 26
10x + 10y = 460/9 | 4x + 9y = 26
10x + 10y = 460/9
Using elimination
10*(4x + 9y = 26)
4*(10x + 10y = 460/9)
40x + 90y = 260
40x + 40y = 1840/9
Subtract equations
50y = 500/9
y = 500/9/50
y = 10/9
Substitute y
4x + 9(10/9) = 26
4x = 16
x = 16/4
x = 4 |
Find x and y such that
9x + 4y = 13/10
7x + 1y = 241/40 | 9x + 4y = 13/10
7x + 1y = 241/40
Using elimination
7*(9x + 4y = 13/10)
9*(7x + 1y = 241/40)
63x + 28y = 91/10
63x + 9y = 2169/40
Subtract equations
19y = -361/8
y = -361/8/19
y = -19/8
Substitute y
9x + 4(-19/8) = 13/10
9x = 54/5
x = 54/5/9
x = 6/5 |
Find x for x^2 + 82/5x - 51/5 = 0 | x^2 + 82/5x - 51/5 = 0
(x - -17)(x - 3/5) = 0
x - -17 = 0 or x - 3/5 = 0
x = -17
x = 3/5 |
Solve x^2 + 1/2x - 1/2 = 0 | x^2 + 1/2x - 1/2 = 0
(x - 1/2)(x - -1) = 0
x - 1/2 = 0 or x - -1 = 0
x = 1/2
x = -1 |
Find x for x^3 - 62/63x^2 - 655/189x + 100/63 = 0 | x^3 - 62/63x^2 - 655/189x + 100/63 = 0
(x - 20/9)(x - 3/7)(x - -5/3) = 0
x - 20/9 = 0
x - 3/7 = 0
x - -5/3 = 0
x = 20/9
x = 3/7
x = -5/3 |
Solve quickly: x^2 - 103/8x + 21/2 = 0 | x^2 - 103/8x + 21/2 = 0
(x - 12)(x - 7/8) = 0
x - 12 = 0 or x - 7/8 = 0
x = 12
x = 7/8 |
Solve quickly: x^2 - 58/3x + 19/3 = 0 | x^2 - 58/3x + 19/3 = 0
(x - 1/3)(x - 19) = 0
x - 1/3 = 0 or x - 19 = 0
x = 1/3
x = 19 |
Find x for x^3 - 281/120x^2 - 1283/240x + 143/80 = 0 | x^3 - 281/120x^2 - 1283/240x + 143/80 = 0
(x - 11/3)(x - 3/10)(x - -13/8) = 0
x - 11/3 = 0
x - 3/10 = 0
x - -13/8 = 0
x = 11/3
x = 3/10
x = -13/8 |
Find x for x^2 + 167/45x + 2/5 = 0 | x^2 + 167/45x + 2/5 = 0
(x - -18/5)(x - -1/9) = 0
x - -18/5 = 0 or x - -1/9 = 0
x = -18/5
x = -1/9 |
Solve the equation x^2 - 5x - 39/4 = 0 | x^2 - 5x - 39/4 = 0
(x - -3/2)(x - 13/2) = 0
x - -3/2 = 0 or x - 13/2 = 0
x = -3/2
x = 13/2 |
Solve quickly: 2x + 1/3 = 0 | 2x + 1/3 = 0
2x = -1/3
x = -1/3 / 2
x = -1/6 |
What value of x satisfies 6x = 0 | 6x = 0
6x = 0
x = 0 / 6
x = 0 |
Determine x in x^2 + 2/5x - 3/25 = 0 | x^2 + 2/5x - 3/25 = 0
(x - 1/5)(x - -3/5) = 0
x - 1/5 = 0 or x - -3/5 = 0
x = 1/5
x = -3/5 |
Solve x^3 + 382/63x^2 + 760/189x + 128/189 = 0 | x^3 + 382/63x^2 + 760/189x + 128/189 = 0
(x - -4/9)(x - -2/7)(x - -16/3) = 0
x - -4/9 = 0
x - -2/7 = 0
x - -16/3 = 0
x = -4/9
x = -2/7
x = -16/3 |
Compute the solution of 3x - 33/4 = 0 | 3x - 33/4 = 0
3x = 33/4
x = 33/4 / 3
x = 11/4 |
Solve the equations:
10x + 6y = -39
6x + 8y = -46/3 | 10x + 6y = -39
6x + 8y = -46/3
Using elimination
6*(10x + 6y = -39)
10*(6x + 8y = -46/3)
60x + 36y = -234
60x + 80y = -460/3
Subtract equations
-44y = -242/3
y = -242/3/-44
y = 11/6
Substitute y
10x + 6(11/6) = -39
10x = -50
x = -50/10
x = -5 |
Solve the equation 9x - 45/4 = 0 | 9x - 45/4 = 0
9x = 45/4
x = 45/4 / 9
x = 5/4 |
Find x and y such that
10x + 10y = -210
4x + 10y = -102 | 10x + 10y = -210
4x + 10y = -102
Using elimination
4*(10x + 10y = -210)
10*(4x + 10y = -102)
40x + 40y = -840
40x + 100y = -1020
Subtract equations
-60y = 180
y = 180/-60
y = -3
Substitute y
10x + 10(-3) = -210
10x = -180
x = -180/10
x = -18 |
What value of x satisfies 9x + 45 = 0 | 9x + 45 = 0
9x = -45
x = -45 / 9
x = -5 |
Determine x in 10x - 130/9 = 0 | 10x - 130/9 = 0
10x = 130/9
x = 130/9 / 10
x = 13/9 |
Find x for x^2 + 5x - 75/4 = 0 | x^2 + 5x - 75/4 = 0
(x - -15/2)(x - 5/2) = 0
x - -15/2 = 0 or x - 5/2 = 0
x = -15/2
x = 5/2 |
Solve the equations:
9x + 1y = 27/4
4x + 10y = 46 | 9x + 1y = 27/4
4x + 10y = 46
Using elimination
4*(9x + 1y = 27/4)
9*(4x + 10y = 46)
36x + 4y = 27
36x + 90y = 414
Subtract equations
-86y = -387
y = -387/-86
y = 9/2
Substitute y
9x + 1(9/2) = 27/4
9x = 9/4
x = 9/4/9
x = 1/4 |
Solve x^3 - 18/7x^2 - 40/7x = 0 | x^3 - 18/7x^2 - 40/7x = 0
(x - 4)(x - -10/7)(x - 0) = 0
x - 4 = 0
x - -10/7 = 0
x - 0 = 0
x = 4
x = -10/7
x = 0 |
Solve the equations:
2x + 9y = 242/35
9x + 2y = -66/35 | 2x + 9y = 242/35
9x + 2y = -66/35
Using elimination
9*(2x + 9y = 242/35)
2*(9x + 2y = -66/35)
18x + 81y = 2178/35
18x + 4y = -132/35
Subtract equations
77y = 66
y = 66/77
y = 6/7
Substitute y
2x + 9(6/7) = 242/35
2x = -4/5
x = -4/5/2
x = -2/5 |
Find x in x^3 - 41/6x^2 - 374/9x - 847/18 = 0 | x^3 - 41/6x^2 - 374/9x - 847/18 = 0
(x - -7/3)(x - 11)(x - -11/6) = 0
x - -7/3 = 0
x - 11 = 0
x - -11/6 = 0
x = -7/3
x = 11
x = -11/6 |
Find the solution to 4x - 36 = 0 | 4x - 36 = 0
4x = 36
x = 36 / 4
x = 9 |
Solve the equations:
3x + 7y = -14/5
5x + 3y = 112/15 | 3x + 7y = -14/5
5x + 3y = 112/15
Using elimination
5*(3x + 7y = -14/5)
3*(5x + 3y = 112/15)
15x + 35y = -14
15x + 9y = 112/5
Subtract equations
26y = -182/5
y = -182/5/26
y = -7/5
Substitute y
3x + 7(-7/5) = -14/5
3x = 7
x = 7/3
x = 7/3 |
Find the solution to 1x + 11/3 = 0 | 1x + 11/3 = 0
1x = -11/3
x = -11/3 / 1
x = -11/3 |
Solve the system:
3x + 9y = -28/3
10x + 3y = -91/9 | 3x + 9y = -28/3
10x + 3y = -91/9
Using elimination
10*(3x + 9y = -28/3)
3*(10x + 3y = -91/9)
30x + 90y = -280/3
30x + 9y = -91/3
Subtract equations
81y = -63
y = -63/81
y = -7/9
Substitute y
3x + 9(-7/9) = -28/3
3x = -7/3
x = -7/3/3
x = -7/9 |
Solve the system:
1x + 8y = 70/3
5x + 2y = -11/3 | 1x + 8y = 70/3
5x + 2y = -11/3
Using elimination
5*(1x + 8y = 70/3)
1*(5x + 2y = -11/3)
5x + 40y = 350/3
5x + 2y = -11/3
Subtract equations
38y = 361/3
y = 361/3/38
y = 19/6
Substitute y
1x + 8(19/6) = 70/3
1x = -2
x = -2/1
x = -2 |
What value of x satisfies x^2 + 77/6x + 85/3 = 0 | x^2 + 77/6x + 85/3 = 0
(x - -10)(x - -17/6) = 0
x - -10 = 0 or x - -17/6 = 0
x = -10
x = -17/6 |
Find x and y such that
6x + 9y = -12
9x + 1y = 13/9 | 6x + 9y = -12
9x + 1y = 13/9
Using elimination
9*(6x + 9y = -12)
6*(9x + 1y = 13/9)
54x + 81y = -108
54x + 6y = 26/3
Subtract equations
75y = -350/3
y = -350/3/75
y = -14/9
Substitute y
6x + 9(-14/9) = -12
6x = 2
x = 2/6
x = 1/3 |
Solve the equations:
10x + 5y = 245/18
9x + 4y = 455/36 | 10x + 5y = 245/18
9x + 4y = 455/36
Using elimination
9*(10x + 5y = 245/18)
10*(9x + 4y = 455/36)
90x + 45y = 245/2
90x + 40y = 2275/18
Subtract equations
5y = -35/9
y = -35/9/5
y = -7/9
Substitute y
10x + 5(-7/9) = 245/18
10x = 35/2
x = 35/2/10
x = 7/4 |
Solve the system:
5x + 5y = -37/9
8x + 4y = -436/45 | 5x + 5y = -37/9
8x + 4y = -436/45
Using elimination
8*(5x + 5y = -37/9)
5*(8x + 4y = -436/45)
40x + 40y = -296/9
40x + 20y = -436/9
Subtract equations
20y = 140/9
y = 140/9/20
y = 7/9
Substitute y
5x + 5(7/9) = -37/9
5x = -8
x = -8/5
x = -8/5 |
Determine x in x^2 - 8/9x - 17/9 = 0 | x^2 - 8/9x - 17/9 = 0
(x - 17/9)(x - -1) = 0
x - 17/9 = 0 or x - -1 = 0
x = 17/9
x = -1 |
Find x for x^3 + 3/4x^2 - 64/9x - 16/3 = 0 | x^3 + 3/4x^2 - 64/9x - 16/3 = 0
(x - 8/3)(x - -8/3)(x - -3/4) = 0
x - 8/3 = 0
x - -8/3 = 0
x - -3/4 = 0
x = 8/3
x = -8/3
x = -3/4 |
Solve quickly: x^2 - 13/15x + 2/15 = 0 | x^2 - 13/15x + 2/15 = 0
(x - 1/5)(x - 2/3) = 0
x - 1/5 = 0 or x - 2/3 = 0
x = 1/5
x = 2/3 |
What value of x satisfies 8x - 80 = 0 | 8x - 80 = 0
8x = 80
x = 80 / 8
x = 10 |
Solve simultaneously:
5x + 7y = 227/3
7x + 4y = 196/3 | 5x + 7y = 227/3
7x + 4y = 196/3
Using elimination
7*(5x + 7y = 227/3)
5*(7x + 4y = 196/3)
35x + 49y = 1589/3
35x + 20y = 980/3
Subtract equations
29y = 203
y = 203/29
y = 7
Substitute y
5x + 7(7) = 227/3
5x = 80/3
x = 80/3/5
x = 16/3 |
Solve quickly: x^3 - 127/21x^2 + 220/21x - 100/21 = 0 | x^3 - 127/21x^2 + 220/21x - 100/21 = 0
(x - 5/7)(x - 2)(x - 10/3) = 0
x - 5/7 = 0
x - 2 = 0
x - 10/3 = 0
x = 5/7
x = 2
x = 10/3 |
Solve the equations:
1x + 3y = 3
10x + 7y = 44/3 | 1x + 3y = 3
10x + 7y = 44/3
Using elimination
10*(1x + 3y = 3)
1*(10x + 7y = 44/3)
10x + 30y = 30
10x + 7y = 44/3
Subtract equations
23y = 46/3
y = 46/3/23
y = 2/3
Substitute y
1x + 3(2/3) = 3
1x = 1
x = 1/1
x = 1 |
Solve the system:
7x + 7y = -490/9
5x + 7y = -458/9 | 7x + 7y = -490/9
5x + 7y = -458/9
Using elimination
5*(7x + 7y = -490/9)
7*(5x + 7y = -458/9)
35x + 35y = -2450/9
35x + 49y = -3206/9
Subtract equations
-14y = 84
y = 84/-14
y = -6
Substitute y
7x + 7(-6) = -490/9
7x = -112/9
x = -112/9/7
x = -16/9 |
Find the solution to 8x - 36 = 0 | 8x - 36 = 0
8x = 36
x = 36 / 8
x = 9/2 |
What value of x satisfies x^3 - 7/2x^2 - 5/2x + 2 = 0 | x^3 - 7/2x^2 - 5/2x + 2 = 0
(x - 1/2)(x - -1)(x - 4) = 0
x - 1/2 = 0
x - -1 = 0
x - 4 = 0
x = 1/2
x = -1
x = 4 |
Find the solution to x^3 - 111/10x^2 + 81/2x - 243/5 = 0 | x^3 - 111/10x^2 + 81/2x - 243/5 = 0
(x - 9/2)(x - 18/5)(x - 3) = 0
x - 9/2 = 0
x - 18/5 = 0
x - 3 = 0
x = 9/2
x = 18/5
x = 3 |
Find x and y such that
2x + 8y = -34
3x + 10y = -45 | 2x + 8y = -34
3x + 10y = -45
Using elimination
3*(2x + 8y = -34)
2*(3x + 10y = -45)
6x + 24y = -102
6x + 20y = -90
Subtract equations
4y = -12
y = -12/4
y = -3
Substitute y
2x + 8(-3) = -34
2x = -10
x = -10/2
x = -5 |
Find x for x^3 + 19/10x^2 - 76/5x + 3/2 = 0 | x^3 + 19/10x^2 - 76/5x + 3/2 = 0
(x - 1/10)(x - -5)(x - 3) = 0
x - 1/10 = 0
x - -5 = 0
x - 3 = 0
x = 1/10
x = -5
x = 3 |
Find the solution to x^2 + 91/9x + 10 = 0 | x^2 + 91/9x + 10 = 0
(x - -10/9)(x - -9) = 0
x - -10/9 = 0 or x - -9 = 0
x = -10/9
x = -9 |
Compute the solution of x^2 + 46/9x - 280/27 = 0 | x^2 + 46/9x - 280/27 = 0
(x - -20/3)(x - 14/9) = 0
x - -20/3 = 0 or x - 14/9 = 0
x = -20/3
x = 14/9 |
Solve the system:
2x + 9y = -194/9
7x + 4y = -184/9 | 2x + 9y = -194/9
7x + 4y = -184/9
Using elimination
7*(2x + 9y = -194/9)
2*(7x + 4y = -184/9)
14x + 63y = -1358/9
14x + 8y = -368/9
Subtract equations
55y = -110
y = -110/55
y = -2
Substitute y
2x + 9(-2) = -194/9
2x = -32/9
x = -32/9/2
x = -16/9 |
Solve the equation 4x + 12 = 0 | 4x + 12 = 0
4x = -12
x = -12 / 4
x = -3 |
Solve the system:
9x + 10y = -248/7
1x + 1y = -29/7 | 9x + 10y = -248/7
1x + 1y = -29/7
Using elimination
1*(9x + 10y = -248/7)
9*(1x + 1y = -29/7)
9x + 10y = -248/7
9x + 9y = -261/7
Subtract equations
1y = 13/7
y = 13/7/1
y = 13/7
Substitute y
9x + 10(13/7) = -248/7
9x = -54
x = -54/9
x = -6 |
Solve the equations:
5x + 10y = 137/7
1x + 6y = 397/35 | 5x + 10y = 137/7
1x + 6y = 397/35
Using elimination
1*(5x + 10y = 137/7)
5*(1x + 6y = 397/35)
5x + 10y = 137/7
5x + 30y = 397/7
Subtract equations
-20y = -260/7
y = -260/7/-20
y = 13/7
Substitute y
5x + 10(13/7) = 137/7
5x = 1
x = 1/5
x = 1/5 |
Find x for x^3 - 185/14x^2 - 163/14x + 9 = 0 | x^3 - 185/14x^2 - 163/14x + 9 = 0
(x - 1/2)(x - 14)(x - -9/7) = 0
x - 1/2 = 0
x - 14 = 0
x - -9/7 = 0
x = 1/2
x = 14
x = -9/7 |
Find x for 1x - 3/2 = 0 | 1x - 3/2 = 0
1x = 3/2
x = 3/2 / 1
x = 3/2 |
Find x in x^2 - 5x - 24 = 0 | x^2 - 5x - 24 = 0
(x - -3)(x - 8) = 0
x - -3 = 0 or x - 8 = 0
x = -3
x = 8 |
Solve the equations:
2x + 1y = 58/21
9x + 5y = 78/7 | 2x + 1y = 58/21
9x + 5y = 78/7
Using elimination
9*(2x + 1y = 58/21)
2*(9x + 5y = 78/7)
18x + 9y = 174/7
18x + 10y = 156/7
Subtract equations
-1y = 18/7
y = 18/7/-1
y = -18/7
Substitute y
2x + 1(-18/7) = 58/21
2x = 16/3
x = 16/3/2
x = 8/3 |
Find x in x^2 + 3/4x = 0 | x^2 + 3/4x = 0
(x - -3/4)(x - 0) = 0
x - -3/4 = 0 or x - 0 = 0
x = -3/4
x = 0 |
Solve simultaneously:
5x + 7y = 179/5
2x + 9y = 53/5 | 5x + 7y = 179/5
2x + 9y = 53/5
Using elimination
2*(5x + 7y = 179/5)
5*(2x + 9y = 53/5)
10x + 14y = 358/5
10x + 45y = 53
Subtract equations
-31y = 93/5
y = 93/5/-31
y = -3/5
Substitute y
5x + 7(-3/5) = 179/5
5x = 40
x = 40/5
x = 8 |
Solve the equations:
10x + 5y = -165/2
10x + 9y = -233/2 | 10x + 5y = -165/2
10x + 9y = -233/2
Using elimination
10*(10x + 5y = -165/2)
10*(10x + 9y = -233/2)
100x + 50y = -825
100x + 90y = -1165
Subtract equations
-40y = 340
y = 340/-40
y = -17/2
Substitute y
10x + 5(-17/2) = -165/2
10x = -40
x = -40/10
x = -4 |
Find x for x^2 - 17/6x + 5/3 = 0 | x^2 - 17/6x + 5/3 = 0
(x - 2)(x - 5/6) = 0
x - 2 = 0 or x - 5/6 = 0
x = 2
x = 5/6 |
Solve quickly: x^3 - 139/30x^2 + 139/30x - 1 = 0 | x^3 - 139/30x^2 + 139/30x - 1 = 0
(x - 10/3)(x - 1)(x - 3/10) = 0
x - 10/3 = 0
x - 1 = 0
x - 3/10 = 0
x = 10/3
x = 1
x = 3/10 |
Find the solution to 8x + 8/3 = 0 | 8x + 8/3 = 0
8x = -8/3
x = -8/3 / 8
x = -1/3 |
Solve x^2 - 8x + 95/9 = 0 | x^2 - 8x + 95/9 = 0
(x - 19/3)(x - 5/3) = 0
x - 19/3 = 0 or x - 5/3 = 0
x = 19/3
x = 5/3 |
Find the solution to x^3 + 7x^2 - 105x + 225 = 0 | x^3 + 7x^2 - 105x + 225 = 0
(x - 5)(x - 3)(x - -15) = 0
x - 5 = 0
x - 3 = 0
x - -15 = 0
x = 5
x = 3
x = -15 |
Solve x^2 + 13/6x - 5/2 = 0 | x^2 + 13/6x - 5/2 = 0
(x - 5/6)(x - -3) = 0
x - 5/6 = 0 or x - -3 = 0
x = 5/6
x = -3 |
Solve the system:
5x + 4y = 71/28
5x + 7y = 29/4 | 5x + 4y = 71/28
5x + 7y = 29/4
Using elimination
5*(5x + 4y = 71/28)
5*(5x + 7y = 29/4)
25x + 20y = 355/28
25x + 35y = 145/4
Subtract equations
-15y = -165/7
y = -165/7/-15
y = 11/7
Substitute y
5x + 4(11/7) = 71/28
5x = -15/4
x = -15/4/5
x = -3/4 |
Find x and y such that
3x + 6y = 53/21
2x + 7y = 64/63 | 3x + 6y = 53/21
2x + 7y = 64/63
Using elimination
2*(3x + 6y = 53/21)
3*(2x + 7y = 64/63)
6x + 12y = 106/21
6x + 21y = 64/21
Subtract equations
-9y = 2
y = 2/-9
y = -2/9
Substitute y
3x + 6(-2/9) = 53/21
3x = 27/7
x = 27/7/3
x = 9/7 |
What value of x satisfies x^3 - 409/70x^2 + 153/14x - 45/7 = 0 | x^3 - 409/70x^2 + 153/14x - 45/7 = 0
(x - 5/2)(x - 15/7)(x - 6/5) = 0
x - 5/2 = 0
x - 15/7 = 0
x - 6/5 = 0
x = 5/2
x = 15/7
x = 6/5 |
Solve the system:
9x + 4y = -59/14
3x + 4y = 39/14 | 9x + 4y = -59/14
3x + 4y = 39/14
Using elimination
3*(9x + 4y = -59/14)
9*(3x + 4y = 39/14)
27x + 12y = -177/14
27x + 36y = 351/14
Subtract equations
-24y = -264/7
y = -264/7/-24
y = 11/7
Substitute y
9x + 4(11/7) = -59/14
9x = -21/2
x = -21/2/9
x = -7/6 |
Solve the equation x^3 - 5/2x^2 - 9/2x + 9 = 0 | x^3 - 5/2x^2 - 9/2x + 9 = 0
(x - -2)(x - 3)(x - 3/2) = 0
x - -2 = 0
x - 3 = 0
x - 3/2 = 0
x = -2
x = 3
x = 3/2 |
Determine x in 3x + 6 = 0 | 3x + 6 = 0
3x = -6
x = -6 / 3
x = -2 |
Find x in x^2 + 3x + 2 = 0 | x^2 + 3x + 2 = 0
(x - -2)(x - -1) = 0
x - -2 = 0 or x - -1 = 0
x = -2
x = -1 |
Solve simultaneously:
8x + 5y = -76
4x + 2y = -34 | 8x + 5y = -76
4x + 2y = -34
Using elimination
4*(8x + 5y = -76)
8*(4x + 2y = -34)
32x + 20y = -304
32x + 16y = -272
Subtract equations
4y = -32
y = -32/4
y = -8
Substitute y
8x + 5(-8) = -76
8x = -36
x = -36/8
x = -9/2 |
Determine x in x^3 + 8/3x^2 - 157/12x - 85/12 = 0 | x^3 + 8/3x^2 - 157/12x - 85/12 = 0
(x - -5)(x - -1/2)(x - 17/6) = 0
x - -5 = 0
x - -1/2 = 0
x - 17/6 = 0
x = -5
x = -1/2
x = 17/6 |
Compute the solution of x^3 - 11/3x^2 - 32/9x + 140/9 = 0 | x^3 - 11/3x^2 - 32/9x + 140/9 = 0
(x - 7/3)(x - -2)(x - 10/3) = 0
x - 7/3 = 0
x - -2 = 0
x - 10/3 = 0
x = 7/3
x = -2
x = 10/3 |
Solve the equation x^3 + 92/21x^2 - 65/7x + 18/7 = 0 | x^3 + 92/21x^2 - 65/7x + 18/7 = 0
(x - -6)(x - 9/7)(x - 1/3) = 0
x - -6 = 0
x - 9/7 = 0
x - 1/3 = 0
x = -6
x = 9/7
x = 1/3 |
Find x in 1x + 2/7 = 0 | 1x + 2/7 = 0
1x = -2/7
x = -2/7 / 1
x = -2/7 |
What value of x satisfies x^3 - 209/28x^2 - 367/28x + 494/7 = 0 | x^3 - 209/28x^2 - 367/28x + 494/7 = 0
(x - -13/4)(x - 8)(x - 19/7) = 0
x - -13/4 = 0
x - 8 = 0
x - 19/7 = 0
x = -13/4
x = 8
x = 19/7 |
Find x for x^3 - 191/45x^2 + 17/15x + 19/9 = 0 | x^3 - 191/45x^2 + 17/15x + 19/9 = 0
(x - 1)(x - -5/9)(x - 19/5) = 0
x - 1 = 0
x - -5/9 = 0
x - 19/5 = 0
x = 1
x = -5/9
x = 19/5 |
Solve the equations:
1x + 2y = 3/14
9x + 6y = 387/14 | 1x + 2y = 3/14
9x + 6y = 387/14
Using elimination
9*(1x + 2y = 3/14)
1*(9x + 6y = 387/14)
9x + 18y = 27/14
9x + 6y = 387/14
Subtract equations
12y = -180/7
y = -180/7/12
y = -15/7
Substitute y
1x + 2(-15/7) = 3/14
1x = 9/2
x = 9/2/1
x = 9/2 |
Determine x in x^2 - 35/8x + 19/4 = 0 | x^2 - 35/8x + 19/4 = 0
(x - 19/8)(x - 2) = 0
x - 19/8 = 0 or x - 2 = 0
x = 19/8
x = 2 |
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