input stringlengths 13 66 | output stringlengths 30 276 |
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Find the solution to x^3 - 9/4x^2 - 4x + 39/16 = 0 | x^3 - 9/4x^2 - 4x + 39/16 = 0
(x - 1/2)(x - -3/2)(x - 13/4) = 0
x - 1/2 = 0
x - -3/2 = 0
x - 13/4 = 0
x = 1/2
x = -3/2
x = 13/4 |
Solve simultaneously:
7x + 6y = 74
9x + 9y = 96 | 7x + 6y = 74
9x + 9y = 96
Using elimination
9*(7x + 6y = 74)
7*(9x + 9y = 96)
63x + 54y = 666
63x + 63y = 672
Subtract equations
-9y = -6
y = -6/-9
y = 2/3
Substitute y
7x + 6(2/3) = 74
7x = 70
x = 70/7
x = 10 |
Find x in 10x + 70/3 = 0 | 10x + 70/3 = 0
10x = -70/3
x = -70/3 / 10
x = -7/3 |
Find the solution to 5x + 9 = 0 | 5x + 9 = 0
5x = -9
x = -9 / 5
x = -9/5 |
Find x and y such that
2x + 2y = -94/7
2x + 9y = -178/7 | 2x + 2y = -94/7
2x + 9y = -178/7
Using elimination
2*(2x + 2y = -94/7)
2*(2x + 9y = -178/7)
4x + 4y = -188/7
4x + 18y = -356/7
Subtract equations
-14y = 24
y = 24/-14
y = -12/7
Substitute y
2x + 2(-12/7) = -94/7
2x = -10
x = -10/2
x = -5 |
Solve the system:
4x + 7y = -92/9
2x + 2y = -25/9 | 4x + 7y = -92/9
2x + 2y = -25/9
Using elimination
2*(4x + 7y = -92/9)
4*(2x + 2y = -25/9)
8x + 14y = -184/9
8x + 8y = -100/9
Subtract equations
6y = -28/3
y = -28/3/6
y = -14/9
Substitute y
4x + 7(-14/9) = -92/9
4x = 2/3
x = 2/3/4
x = 1/6 |
Solve simultaneously:
9x + 6y = -63/10
3x + 8y = 69/10 | 9x + 6y = -63/10
3x + 8y = 69/10
Using elimination
3*(9x + 6y = -63/10)
9*(3x + 8y = 69/10)
27x + 18y = -189/10
27x + 72y = 621/10
Subtract equations
-54y = -81
y = -81/-54
y = 3/2
Substitute y
9x + 6(3/2) = -63/10
9x = -153/10
x = -153/10/9
x = -17/10 |
Solve simultaneously:
6x + 3y = -147/10
4x + 10y = -269/5 | 6x + 3y = -147/10
4x + 10y = -269/5
Using elimination
4*(6x + 3y = -147/10)
6*(4x + 10y = -269/5)
24x + 12y = -294/5
24x + 60y = -1614/5
Subtract equations
-48y = 264
y = 264/-48
y = -11/2
Substitute y
6x + 3(-11/2) = -147/10
6x = 9/5
x = 9/5/6
x = 3/10 |
Solve the equation x^2 - 27/35x - 22/7 = 0 | x^2 - 27/35x - 22/7 = 0
(x - -10/7)(x - 11/5) = 0
x - -10/7 = 0 or x - 11/5 = 0
x = -10/7
x = 11/5 |
Solve x^3 - 233/30x^2 - 109/5x + 152/3 = 0 | x^3 - 233/30x^2 - 109/5x + 152/3 = 0
(x - 19/2)(x - 8/5)(x - -10/3) = 0
x - 19/2 = 0
x - 8/5 = 0
x - -10/3 = 0
x = 19/2
x = 8/5
x = -10/3 |
Solve the system:
4x + 3y = -257/10
9x + 4y = -186/5 | 4x + 3y = -257/10
9x + 4y = -186/5
Using elimination
9*(4x + 3y = -257/10)
4*(9x + 4y = -186/5)
36x + 27y = -2313/10
36x + 16y = -744/5
Subtract equations
11y = -165/2
y = -165/2/11
y = -15/2
Substitute y
4x + 3(-15/2) = -257/10
4x = -16/5
x = -16/5/4
x = -4/5 |
Find x in 10x - 150 = 0 | 10x - 150 = 0
10x = 150
x = 150 / 10
x = 15 |
Find x in 5x - 50/7 = 0 | 5x - 50/7 = 0
5x = 50/7
x = 50/7 / 5
x = 10/7 |
Compute the solution of 8x - 16 = 0 | 8x - 16 = 0
8x = 16
x = 16 / 8
x = 2 |
Solve the system:
10x + 3y = -89/6
2x + 9y = 461/6 | 10x + 3y = -89/6
2x + 9y = 461/6
Using elimination
2*(10x + 3y = -89/6)
10*(2x + 9y = 461/6)
20x + 6y = -89/3
20x + 90y = 2305/3
Subtract equations
-84y = -798
y = -798/-84
y = 19/2
Substitute y
10x + 3(19/2) = -89/6
10x = -130/3
x = -130/3/10
x = -13/3 |
Compute the solution of 1x + 16/5 = 0 | 1x + 16/5 = 0
1x = -16/5
x = -16/5 / 1
x = -16/5 |
Compute the solution of 5x - 5/3 = 0 | 5x - 5/3 = 0
5x = 5/3
x = 5/3 / 5
x = 1/3 |
Solve the equations:
5x + 6y = 77/4
6x + 8y = 161/6 | 5x + 6y = 77/4
6x + 8y = 161/6
Using elimination
6*(5x + 6y = 77/4)
5*(6x + 8y = 161/6)
30x + 36y = 231/2
30x + 40y = 805/6
Subtract equations
-4y = -56/3
y = -56/3/-4
y = 14/3
Substitute y
5x + 6(14/3) = 77/4
5x = -35/4
x = -35/4/5
x = -7/4 |
Solve quickly: 2x + 32/7 = 0 | 2x + 32/7 = 0
2x = -32/7
x = -32/7 / 2
x = -16/7 |
Solve quickly: x^2 - 22/5x + 117/25 = 0 | x^2 - 22/5x + 117/25 = 0
(x - 13/5)(x - 9/5) = 0
x - 13/5 = 0 or x - 9/5 = 0
x = 13/5
x = 9/5 |
What value of x satisfies x^3 + 214/45x^2 + 151/180x - 7/5 = 0 | x^3 + 214/45x^2 + 151/180x - 7/5 = 0
(x - -7/10)(x - 4/9)(x - -9/2) = 0
x - -7/10 = 0
x - 4/9 = 0
x - -9/2 = 0
x = -7/10
x = 4/9
x = -9/2 |
Solve simultaneously:
8x + 2y = -66/7
8x + 3y = -85/7 | 8x + 2y = -66/7
8x + 3y = -85/7
Using elimination
8*(8x + 2y = -66/7)
8*(8x + 3y = -85/7)
64x + 16y = -528/7
64x + 24y = -680/7
Subtract equations
-8y = 152/7
y = 152/7/-8
y = -19/7
Substitute y
8x + 2(-19/7) = -66/7
8x = -4
x = -4/8
x = -1/2 |
Compute the solution of x^3 + 19x^2 - 251/4x - 2907/2 = 0 | x^3 + 19x^2 - 251/4x - 2907/2 = 0
(x - 17/2)(x - -18)(x - -19/2) = 0
x - 17/2 = 0
x - -18 = 0
x - -19/2 = 0
x = 17/2
x = -18
x = -19/2 |
Compute the solution of x^2 + 17/2x + 4 = 0 | x^2 + 17/2x + 4 = 0
(x - -8)(x - -1/2) = 0
x - -8 = 0 or x - -1/2 = 0
x = -8
x = -1/2 |
Solve the system:
8x + 7y = 72
10x + 2y = 36 | 8x + 7y = 72
10x + 2y = 36
Using elimination
10*(8x + 7y = 72)
8*(10x + 2y = 36)
80x + 70y = 720
80x + 16y = 288
Subtract equations
54y = 432
y = 432/54
y = 8
Substitute y
8x + 7(8) = 72
8x = 16
x = 16/8
x = 2 |
Solve the equation x^3 - 123/10x^2 - 591/25x - 56/25 = 0 | x^3 - 123/10x^2 - 591/25x - 56/25 = 0
(x - 14)(x - -8/5)(x - -1/10) = 0
x - 14 = 0
x - -8/5 = 0
x - -1/10 = 0
x = 14
x = -8/5
x = -1/10 |
Compute the solution of x^3 + 49/20x^2 + 3/2x = 0 | x^3 + 49/20x^2 + 3/2x = 0
(x - -6/5)(x - 0)(x - -5/4) = 0
x - -6/5 = 0
x - 0 = 0
x - -5/4 = 0
x = -6/5
x = 0
x = -5/4 |
Solve the equation x^2 + 27/5x - 18/5 = 0 | x^2 + 27/5x - 18/5 = 0
(x - -6)(x - 3/5) = 0
x - -6 = 0 or x - 3/5 = 0
x = -6
x = 3/5 |
Find x in 2x + 4 = 0 | 2x + 4 = 0
2x = -4
x = -4 / 2
x = -2 |
Solve 3x + 13/3 = 0 | 3x + 13/3 = 0
3x = -13/3
x = -13/3 / 3
x = -13/9 |
Find x and y such that
10x + 5y = 63/2
7x + 4y = 479/20 | 10x + 5y = 63/2
7x + 4y = 479/20
Using elimination
7*(10x + 5y = 63/2)
10*(7x + 4y = 479/20)
70x + 35y = 441/2
70x + 40y = 479/2
Subtract equations
-5y = -19
y = -19/-5
y = 19/5
Substitute y
10x + 5(19/5) = 63/2
10x = 25/2
x = 25/2/10
x = 5/4 |
Find x and y such that
6x + 1y = -105
9x + 1y = -156 | 6x + 1y = -105
9x + 1y = -156
Using elimination
9*(6x + 1y = -105)
6*(9x + 1y = -156)
54x + 9y = -945
54x + 6y = -936
Subtract equations
3y = -9
y = -9/3
y = -3
Substitute y
6x + 1(-3) = -105
6x = -102
x = -102/6
x = -17 |
Solve the system:
7x + 7y = -77
7x + 3y = -25 | 7x + 7y = -77
7x + 3y = -25
Using elimination
7*(7x + 7y = -77)
7*(7x + 3y = -25)
49x + 49y = -539
49x + 21y = -175
Subtract equations
28y = -364
y = -364/28
y = -13
Substitute y
7x + 7(-13) = -77
7x = 14
x = 14/7
x = 2 |
Determine x in x^3 + 701/72x^2 + 149/24x - 15/4 = 0 | x^3 + 701/72x^2 + 149/24x - 15/4 = 0
(x - -9)(x - -10/9)(x - 3/8) = 0
x - -9 = 0
x - -10/9 = 0
x - 3/8 = 0
x = -9
x = -10/9
x = 3/8 |
Compute the solution of x^2 + 2x = 0 | x^2 + 2x = 0
(x - -2)(x - 0) = 0
x - -2 = 0 or x - 0 = 0
x = -2
x = 0 |
Solve the equations:
4x + 2y = 20/3
6x + 1y = 34/3 | 4x + 2y = 20/3
6x + 1y = 34/3
Using elimination
6*(4x + 2y = 20/3)
4*(6x + 1y = 34/3)
24x + 12y = 40
24x + 4y = 136/3
Subtract equations
8y = -16/3
y = -16/3/8
y = -2/3
Substitute y
4x + 2(-2/3) = 20/3
4x = 8
x = 8/4
x = 2 |
Find x for x^2 - 69/40x - 17/20 = 0 | x^2 - 69/40x - 17/20 = 0
(x - -2/5)(x - 17/8) = 0
x - -2/5 = 0 or x - 17/8 = 0
x = -2/5
x = 17/8 |
Find x in x^2 - 23/20x + 3/10 = 0 | x^2 - 23/20x + 3/10 = 0
(x - 2/5)(x - 3/4) = 0
x - 2/5 = 0 or x - 3/4 = 0
x = 2/5
x = 3/4 |
Find x for x^3 + 79/15x^2 + 86/15x - 16/5 = 0 | x^3 + 79/15x^2 + 86/15x - 16/5 = 0
(x - -3)(x - -8/3)(x - 2/5) = 0
x - -3 = 0
x - -8/3 = 0
x - 2/5 = 0
x = -3
x = -8/3
x = 2/5 |
Find x for 5x + 85/3 = 0 | 5x + 85/3 = 0
5x = -85/3
x = -85/3 / 5
x = -17/3 |
Solve simultaneously:
4x + 5y = 107/2
6x + 9y = 159/2 | 4x + 5y = 107/2
6x + 9y = 159/2
Using elimination
6*(4x + 5y = 107/2)
4*(6x + 9y = 159/2)
24x + 30y = 321
24x + 36y = 318
Subtract equations
-6y = 3
y = 3/-6
y = -1/2
Substitute y
4x + 5(-1/2) = 107/2
4x = 56
x = 56/4
x = 14 |
Find x in x^2 - 113/18x + 8 = 0 | x^2 - 113/18x + 8 = 0
(x - 9/2)(x - 16/9) = 0
x - 9/2 = 0 or x - 16/9 = 0
x = 9/2
x = 16/9 |
Solve the equations:
6x + 10y = -244/5
1x + 7y = -126/5 | 6x + 10y = -244/5
1x + 7y = -126/5
Using elimination
1*(6x + 10y = -244/5)
6*(1x + 7y = -126/5)
6x + 10y = -244/5
6x + 42y = -756/5
Subtract equations
-32y = 512/5
y = 512/5/-32
y = -16/5
Substitute y
6x + 10(-16/5) = -244/5
6x = -84/5
x = -84/5/6
x = -14/5 |
What value of x satisfies x^3 + 17/5x^2 + 32/25x - 28/25 = 0 | x^3 + 17/5x^2 + 32/25x - 28/25 = 0
(x - -14/5)(x - 2/5)(x - -1) = 0
x - -14/5 = 0
x - 2/5 = 0
x - -1 = 0
x = -14/5
x = 2/5
x = -1 |
Solve x^3 + 11/40x^2 - 51/5x - 27/2 = 0 | x^3 + 11/40x^2 - 51/5x - 27/2 = 0
(x - -15/8)(x - 18/5)(x - -2) = 0
x - -15/8 = 0
x - 18/5 = 0
x - -2 = 0
x = -15/8
x = 18/5
x = -2 |
Solve quickly: x^3 - 67/36x^2 - 497/108x - 55/54 = 0 | x^3 - 67/36x^2 - 497/108x - 55/54 = 0
(x - 10/3)(x - -1/4)(x - -11/9) = 0
x - 10/3 = 0
x - -1/4 = 0
x - -11/9 = 0
x = 10/3
x = -1/4
x = -11/9 |
Solve quickly: x^3 - 27/4x^2 - 485/8x - 57/2 = 0 | x^3 - 27/4x^2 - 485/8x - 57/2 = 0
(x - 12)(x - -1/2)(x - -19/4) = 0
x - 12 = 0
x - -1/2 = 0
x - -19/4 = 0
x = 12
x = -1/2
x = -19/4 |
Find the solution to x^3 - 835/126x^2 + 241/18x - 77/9 = 0 | x^3 - 835/126x^2 + 241/18x - 77/9 = 0
(x - 14/9)(x - 11/7)(x - 7/2) = 0
x - 14/9 = 0
x - 11/7 = 0
x - 7/2 = 0
x = 14/9
x = 11/7
x = 7/2 |
Solve the equations:
4x + 2y = -33/5
9x + 8y = -76/5 | 4x + 2y = -33/5
9x + 8y = -76/5
Using elimination
9*(4x + 2y = -33/5)
4*(9x + 8y = -76/5)
36x + 18y = -297/5
36x + 32y = -304/5
Subtract equations
-14y = 7/5
y = 7/5/-14
y = -1/10
Substitute y
4x + 2(-1/10) = -33/5
4x = -32/5
x = -32/5/4
x = -8/5 |
Find x and y such that
7x + 7y = -28/3
6x + 9y = -6 | 7x + 7y = -28/3
6x + 9y = -6
Using elimination
6*(7x + 7y = -28/3)
7*(6x + 9y = -6)
42x + 42y = -56
42x + 63y = -42
Subtract equations
-21y = -14
y = -14/-21
y = 2/3
Substitute y
7x + 7(2/3) = -28/3
7x = -14
x = -14/7
x = -2 |
Solve x^2 - 13/21x - 190/21 = 0 | x^2 - 13/21x - 190/21 = 0
(x - 10/3)(x - -19/7) = 0
x - 10/3 = 0 or x - -19/7 = 0
x = 10/3
x = -19/7 |
Find x for 8x - 8 = 0 | 8x - 8 = 0
8x = 8
x = 8 / 8
x = 1 |
Determine x in 4x - 52 = 0 | 4x - 52 = 0
4x = 52
x = 52 / 4
x = 13 |
Solve simultaneously:
1x + 6y = 267/35
7x + 9y = 69/5 | 1x + 6y = 267/35
7x + 9y = 69/5
Using elimination
7*(1x + 6y = 267/35)
1*(7x + 9y = 69/5)
7x + 42y = 267/5
7x + 9y = 69/5
Subtract equations
33y = 198/5
y = 198/5/33
y = 6/5
Substitute y
1x + 6(6/5) = 267/35
1x = 3/7
x = 3/7/1
x = 3/7 |
Find x and y such that
2x + 5y = 0
1x + 8y = 22 | 2x + 5y = 0
1x + 8y = 22
Using elimination
1*(2x + 5y = 0)
2*(1x + 8y = 22)
2x + 5y = 0
2x + 16y = 44
Subtract equations
-11y = -44
y = -44/-11
y = 4
Substitute y
2x + 5(4) = 0
2x = -20
x = -20/2
x = -10 |
Find the solution to 8x - 11 = 0 | 8x - 11 = 0
8x = 11
x = 11 / 8
x = 11/8 |
Solve 7x - 7/2 = 0 | 7x - 7/2 = 0
7x = 7/2
x = 7/2 / 7
x = 1/2 |
Solve the system:
9x + 10y = -213/8
5x + 5y = -105/8 | 9x + 10y = -213/8
5x + 5y = -105/8
Using elimination
5*(9x + 10y = -213/8)
9*(5x + 5y = -105/8)
45x + 50y = -1065/8
45x + 45y = -945/8
Subtract equations
5y = -15
y = -15/5
y = -3
Substitute y
9x + 10(-3) = -213/8
9x = 27/8
x = 27/8/9
x = 3/8 |
Find x in x^2 + 88/15x + 17/15 = 0 | x^2 + 88/15x + 17/15 = 0
(x - -17/3)(x - -1/5) = 0
x - -17/3 = 0 or x - -1/5 = 0
x = -17/3
x = -1/5 |
What value of x satisfies x^3 - 2/5x^2 - 225x + 90 = 0 | x^3 - 2/5x^2 - 225x + 90 = 0
(x - 15)(x - 2/5)(x - -15) = 0
x - 15 = 0
x - 2/5 = 0
x - -15 = 0
x = 15
x = 2/5
x = -15 |
Solve the equations:
1x + 9y = 1/3
2x + 7y = 28/9 | 1x + 9y = 1/3
2x + 7y = 28/9
Using elimination
2*(1x + 9y = 1/3)
1*(2x + 7y = 28/9)
2x + 18y = 2/3
2x + 7y = 28/9
Subtract equations
11y = -22/9
y = -22/9/11
y = -2/9
Substitute y
1x + 9(-2/9) = 1/3
1x = 7/3
x = 7/3/1
x = 7/3 |
Solve the system:
7x + 3y = 103
6x + 10y = 14 | 7x + 3y = 103
6x + 10y = 14
Using elimination
6*(7x + 3y = 103)
7*(6x + 10y = 14)
42x + 18y = 618
42x + 70y = 98
Subtract equations
-52y = 520
y = 520/-52
y = -10
Substitute y
7x + 3(-10) = 103
7x = 133
x = 133/7
x = 19 |
Find x and y such that
4x + 6y = 10/7
1x + 9y = -50/7 | 4x + 6y = 10/7
1x + 9y = -50/7
Using elimination
1*(4x + 6y = 10/7)
4*(1x + 9y = -50/7)
4x + 6y = 10/7
4x + 36y = -200/7
Subtract equations
-30y = 30
y = 30/-30
y = -1
Substitute y
4x + 6(-1) = 10/7
4x = 52/7
x = 52/7/4
x = 13/7 |
Find x in x^3 - 77/18x^2 - 100/27x + 25/54 = 0 | x^3 - 77/18x^2 - 100/27x + 25/54 = 0
(x - 5)(x - -5/6)(x - 1/9) = 0
x - 5 = 0
x - -5/6 = 0
x - 1/9 = 0
x = 5
x = -5/6
x = 1/9 |
Solve the equations:
9x + 4y = 189/5
6x + 2y = 132/5 | 9x + 4y = 189/5
6x + 2y = 132/5
Using elimination
6*(9x + 4y = 189/5)
9*(6x + 2y = 132/5)
54x + 24y = 1134/5
54x + 18y = 1188/5
Subtract equations
6y = -54/5
y = -54/5/6
y = -9/5
Substitute y
9x + 4(-9/5) = 189/5
9x = 45
x = 45/9
x = 5 |
Find x for x^2 + 9x + 18 = 0 | x^2 + 9x + 18 = 0
(x - -3)(x - -6) = 0
x - -3 = 0 or x - -6 = 0
x = -3
x = -6 |
Solve the equation 9x + 45/2 = 0 | 9x + 45/2 = 0
9x = -45/2
x = -45/2 / 9
x = -5/2 |
Compute the solution of 10x - 25/4 = 0 | 10x - 25/4 = 0
10x = 25/4
x = 25/4 / 10
x = 5/8 |
Find x for 10x + 20 = 0 | 10x + 20 = 0
10x = -20
x = -20 / 10
x = -2 |
Solve the system:
4x + 6y = 309/14
9x + 1y = 1081/56 | 4x + 6y = 309/14
9x + 1y = 1081/56
Using elimination
9*(4x + 6y = 309/14)
4*(9x + 1y = 1081/56)
36x + 54y = 2781/14
36x + 4y = 1081/14
Subtract equations
50y = 850/7
y = 850/7/50
y = 17/7
Substitute y
4x + 6(17/7) = 309/14
4x = 15/2
x = 15/2/4
x = 15/8 |
Determine x in x^2 - 11/8x - 19/8 = 0 | x^2 - 11/8x - 19/8 = 0
(x - -1)(x - 19/8) = 0
x - -1 = 0 or x - 19/8 = 0
x = -1
x = 19/8 |
Find x for 4x + 12/5 = 0 | 4x + 12/5 = 0
4x = -12/5
x = -12/5 / 4
x = -3/5 |
Find x in x^2 - 1/3x - 154/81 = 0 | x^2 - 1/3x - 154/81 = 0
(x - -11/9)(x - 14/9) = 0
x - -11/9 = 0 or x - 14/9 = 0
x = -11/9
x = 14/9 |
What value of x satisfies 1x - 5 = 0 | 1x - 5 = 0
1x = 5
x = 5 / 1
x = 5 |
Solve simultaneously:
9x + 2y = 77/5
8x + 10y = 212/9 | 9x + 2y = 77/5
8x + 10y = 212/9
Using elimination
8*(9x + 2y = 77/5)
9*(8x + 10y = 212/9)
72x + 16y = 616/5
72x + 90y = 212
Subtract equations
-74y = -444/5
y = -444/5/-74
y = 6/5
Substitute y
9x + 2(6/5) = 77/5
9x = 13
x = 13/9
x = 13/9 |
Solve simultaneously:
4x + 7y = -449/5
8x + 9y = -523/5 | 4x + 7y = -449/5
8x + 9y = -523/5
Using elimination
8*(4x + 7y = -449/5)
4*(8x + 9y = -523/5)
32x + 56y = -3592/5
32x + 36y = -2092/5
Subtract equations
20y = -300
y = -300/20
y = -15
Substitute y
4x + 7(-15) = -449/5
4x = 76/5
x = 76/5/4
x = 19/5 |
Solve the equations:
1x + 6y = -37/3
6x + 8y = -190/9 | 1x + 6y = -37/3
6x + 8y = -190/9
Using elimination
6*(1x + 6y = -37/3)
1*(6x + 8y = -190/9)
6x + 36y = -74
6x + 8y = -190/9
Subtract equations
28y = -476/9
y = -476/9/28
y = -17/9
Substitute y
1x + 6(-17/9) = -37/3
1x = -1
x = -1/1
x = -1 |
Find the solution to 3x + 1/3 = 0 | 3x + 1/3 = 0
3x = -1/3
x = -1/3 / 3
x = -1/9 |
Solve quickly: x^2 - 2/45x - 91/45 = 0 | x^2 - 2/45x - 91/45 = 0
(x - -7/5)(x - 13/9) = 0
x - -7/5 = 0 or x - 13/9 = 0
x = -7/5
x = 13/9 |
Compute the solution of x^2 + 5x - 6 = 0 | x^2 + 5x - 6 = 0
(x - 1)(x - -6) = 0
x - 1 = 0 or x - -6 = 0
x = 1
x = -6 |
Find the solution to x^3 + 11/15x^2 - 12/5x - 32/15 = 0 | x^3 + 11/15x^2 - 12/5x - 32/15 = 0
(x - 8/5)(x - -4/3)(x - -1) = 0
x - 8/5 = 0
x - -4/3 = 0
x - -1 = 0
x = 8/5
x = -4/3
x = -1 |
What value of x satisfies x^2 - 7/2x + 17/9 = 0 | x^2 - 7/2x + 17/9 = 0
(x - 17/6)(x - 2/3) = 0
x - 17/6 = 0 or x - 2/3 = 0
x = 17/6
x = 2/3 |
Solve x^3 - 148/15x^2 - 89/20x + 187/6 = 0 | x^3 - 148/15x^2 - 89/20x + 187/6 = 0
(x - -11/6)(x - 17/10)(x - 10) = 0
x - -11/6 = 0
x - 17/10 = 0
x - 10 = 0
x = -11/6
x = 17/10
x = 10 |
Solve the equation x^2 - 8/3x - 11/3 = 0 | x^2 - 8/3x - 11/3 = 0
(x - -1)(x - 11/3) = 0
x - -1 = 0 or x - 11/3 = 0
x = -1
x = 11/3 |
Solve quickly: x^2 - 76/45x - 1/5 = 0 | x^2 - 76/45x - 1/5 = 0
(x - -1/9)(x - 9/5) = 0
x - -1/9 = 0 or x - 9/5 = 0
x = -1/9
x = 9/5 |
Find the solution to 8x - 16 = 0 | 8x - 16 = 0
8x = 16
x = 16 / 8
x = 2 |
Solve x^2 + 33/4x + 133/8 = 0 | x^2 + 33/4x + 133/8 = 0
(x - -19/4)(x - -7/2) = 0
x - -19/4 = 0 or x - -7/2 = 0
x = -19/4
x = -7/2 |
Solve simultaneously:
2x + 3y = 194/7
5x + 7y = 457/7 | 2x + 3y = 194/7
5x + 7y = 457/7
Using elimination
5*(2x + 3y = 194/7)
2*(5x + 7y = 457/7)
10x + 15y = 970/7
10x + 14y = 914/7
Subtract equations
1y = 8
y = 8/1
y = 8
Substitute y
2x + 3(8) = 194/7
2x = 26/7
x = 26/7/2
x = 13/7 |
Solve x^3 - 191/10x^2 + 57x + 135/2 = 0 | x^3 - 191/10x^2 + 57x + 135/2 = 0
(x - 15)(x - -9/10)(x - 5) = 0
x - 15 = 0
x - -9/10 = 0
x - 5 = 0
x = 15
x = -9/10
x = 5 |
Find the solution to x^2 - 52/9x + 35/9 = 0 | x^2 - 52/9x + 35/9 = 0
(x - 5)(x - 7/9) = 0
x - 5 = 0 or x - 7/9 = 0
x = 5
x = 7/9 |
Determine x in 1x - 11/10 = 0 | 1x - 11/10 = 0
1x = 11/10
x = 11/10 / 1
x = 11/10 |
Find x for x^3 + 35/9x^2 + 34/9x = 0 | x^3 + 35/9x^2 + 34/9x = 0
(x - -2)(x - -17/9)(x - 0) = 0
x - -2 = 0
x - -17/9 = 0
x - 0 = 0
x = -2
x = -17/9
x = 0 |
Find the solution to x^3 - 37/6x^2 - 34/3x + 10 = 0 | x^3 - 37/6x^2 - 34/3x + 10 = 0
(x - 2/3)(x - 15/2)(x - -2) = 0
x - 2/3 = 0
x - 15/2 = 0
x - -2 = 0
x = 2/3
x = 15/2
x = -2 |
Find the solution to 8x - 2 = 0 | 8x - 2 = 0
8x = 2
x = 2 / 8
x = 1/4 |
What value of x satisfies 4x - 52/3 = 0 | 4x - 52/3 = 0
4x = 52/3
x = 52/3 / 4
x = 13/3 |
Solve quickly: x^3 + 79/24x^2 - 46/3x - 85/8 = 0 | x^3 + 79/24x^2 - 46/3x - 85/8 = 0
(x - -5/8)(x - -17/3)(x - 3) = 0
x - -5/8 = 0
x - -17/3 = 0
x - 3 = 0
x = -5/8
x = -17/3
x = 3 |
Solve simultaneously:
10x + 1y = 454/63
2x + 5y = -82/63 | 10x + 1y = 454/63
2x + 5y = -82/63
Using elimination
2*(10x + 1y = 454/63)
10*(2x + 5y = -82/63)
20x + 2y = 908/63
20x + 50y = -820/63
Subtract equations
-48y = 192/7
y = 192/7/-48
y = -4/7
Substitute y
10x + 1(-4/7) = 454/63
10x = 70/9
x = 70/9/10
x = 7/9 |
What value of x satisfies 7x + 21/10 = 0 | 7x + 21/10 = 0
7x = -21/10
x = -21/10 / 7
x = -3/10 |
Find x for x^2 - 92/45x - 28/5 = 0 | x^2 - 92/45x - 28/5 = 0
(x - 18/5)(x - -14/9) = 0
x - 18/5 = 0 or x - -14/9 = 0
x = 18/5
x = -14/9 |
Solve the equation x^3 + 41/20x^2 - 257/40x - 99/8 = 0 | x^3 + 41/20x^2 - 257/40x - 99/8 = 0
(x - -9/5)(x - -11/4)(x - 5/2) = 0
x - -9/5 = 0
x - -11/4 = 0
x - 5/2 = 0
x = -9/5
x = -11/4
x = 5/2 |
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