input stringlengths 13 66 | output stringlengths 30 276 |
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Find x in 8x + 40 = 0 | 8x + 40 = 0
8x = -40
x = -40 / 8
x = -5 |
Find x for 10x - 45 = 0 | 10x - 45 = 0
10x = 45
x = 45 / 10
x = 9/2 |
Find the solution to 1x + 4 = 0 | 1x + 4 = 0
1x = -4
x = -4 / 1
x = -4 |
Solve quickly: x^3 + 1/2x^2 - 71/16x - 9/8 = 0 | x^3 + 1/2x^2 - 71/16x - 9/8 = 0
(x - -1/4)(x - 2)(x - -9/4) = 0
x - -1/4 = 0
x - 2 = 0
x - -9/4 = 0
x = -1/4
x = 2
x = -9/4 |
Find x for 4x + 76/3 = 0 | 4x + 76/3 = 0
4x = -76/3
x = -76/3 / 4
x = -19/3 |
Find x for x^2 - 23/63x - 22/21 = 0 | x^2 - 23/63x - 22/21 = 0
(x - -6/7)(x - 11/9) = 0
x - -6/7 = 0 or x - 11/9 = 0
x = -6/7
x = 11/9 |
Solve simultaneously:
8x + 9y = -157/10
10x + 5y = -33/2 | 8x + 9y = -157/10
10x + 5y = -33/2
Using elimination
10*(8x + 9y = -157/10)
8*(10x + 5y = -33/2)
80x + 90y = -157
80x + 40y = -132
Subtract equations
50y = -25
y = -25/50
y = -1/2
Substitute y
8x + 9(-1/2) = -157/10
8x = -56/5
x = -56/5/8
x = -7/5 |
Solve quickly: x^3 - 271/72x^2 - 535/54x - 119/24 = 0 | x^3 - 271/72x^2 - 535/54x - 119/24 = 0
(x - 17/3)(x - -7/9)(x - -9/8) = 0
x - 17/3 = 0
x - -7/9 = 0
x - -9/8 = 0
x = 17/3
x = -7/9
x = -9/8 |
Solve the equations:
1x + 3y = -9
6x + 3y = 31 | 1x + 3y = -9
6x + 3y = 31
Using elimination
6*(1x + 3y = -9)
1*(6x + 3y = 31)
6x + 18y = -54
6x + 3y = 31
Subtract equations
15y = -85
y = -85/15
y = -17/3
Substitute y
1x + 3(-17/3) = -9
1x = 8
x = 8/1
x = 8 |
What value of x satisfies x^2 + 26/3x + 40/3 = 0 | x^2 + 26/3x + 40/3 = 0
(x - -20/3)(x - -2) = 0
x - -20/3 = 0 or x - -2 = 0
x = -20/3
x = -2 |
Determine x in x^2 + 15/4x - 25/4 = 0 | x^2 + 15/4x - 25/4 = 0
(x - -5)(x - 5/4) = 0
x - -5 = 0 or x - 5/4 = 0
x = -5
x = 5/4 |
What value of x satisfies x^2 + 10/3x + 1 = 0 | x^2 + 10/3x + 1 = 0
(x - -3)(x - -1/3) = 0
x - -3 = 0 or x - -1/3 = 0
x = -3
x = -1/3 |
Find x and y such that
9x + 9y = -9/8
10x + 8y = -21/4 | 9x + 9y = -9/8
10x + 8y = -21/4
Using elimination
10*(9x + 9y = -9/8)
9*(10x + 8y = -21/4)
90x + 90y = -45/4
90x + 72y = -189/4
Subtract equations
18y = 36
y = 36/18
y = 2
Substitute y
9x + 9(2) = -9/8
9x = -153/8
x = -153/8/9
x = -17/8 |
What value of x satisfies x^3 + 7/4x^2 - 69/8x - 135/8 = 0 | x^3 + 7/4x^2 - 69/8x - 135/8 = 0
(x - -9/4)(x - 3)(x - -5/2) = 0
x - -9/4 = 0
x - 3 = 0
x - -5/2 = 0
x = -9/4
x = 3
x = -5/2 |
Solve x^2 - 3/10x - 17/5 = 0 | x^2 - 3/10x - 17/5 = 0
(x - -17/10)(x - 2) = 0
x - -17/10 = 0 or x - 2 = 0
x = -17/10
x = 2 |
Find x for 2x + 8/5 = 0 | 2x + 8/5 = 0
2x = -8/5
x = -8/5 / 2
x = -4/5 |
Find the solution to x^2 + 117/10x - 18/5 = 0 | x^2 + 117/10x - 18/5 = 0
(x - -12)(x - 3/10) = 0
x - -12 = 0 or x - 3/10 = 0
x = -12
x = 3/10 |
Determine x in x^3 - 29/9x^2 + 85/27x - 25/27 = 0 | x^3 - 29/9x^2 + 85/27x - 25/27 = 0
(x - 5/3)(x - 1)(x - 5/9) = 0
x - 5/3 = 0
x - 1 = 0
x - 5/9 = 0
x = 5/3
x = 1
x = 5/9 |
Find x and y such that
10x + 1y = 801/35
2x + 7y = -173/35 | 10x + 1y = 801/35
2x + 7y = -173/35
Using elimination
2*(10x + 1y = 801/35)
10*(2x + 7y = -173/35)
20x + 2y = 1602/35
20x + 70y = -346/7
Subtract equations
-68y = 476/5
y = 476/5/-68
y = -7/5
Substitute y
10x + 1(-7/5) = 801/35
10x = 170/7
x = 170/7/10
x = 17/7 |
Solve simultaneously:
4x + 6y = -116/21
4x + 1y = -628/63 | 4x + 6y = -116/21
4x + 1y = -628/63
Using elimination
4*(4x + 6y = -116/21)
4*(4x + 1y = -628/63)
16x + 24y = -464/21
16x + 4y = -2512/63
Subtract equations
20y = 160/9
y = 160/9/20
y = 8/9
Substitute y
4x + 6(8/9) = -116/21
4x = -76/7
x = -76/7/4
x = -19/7 |
Find the solution to 6x + 12 = 0 | 6x + 12 = 0
6x = -12
x = -12 / 6
x = -2 |
Solve the equations:
5x + 6y = 23
3x + 9y = 96/5 | 5x + 6y = 23
3x + 9y = 96/5
Using elimination
3*(5x + 6y = 23)
5*(3x + 9y = 96/5)
15x + 18y = 69
15x + 45y = 96
Subtract equations
-27y = -27
y = -27/-27
y = 1
Substitute y
5x + 6(1) = 23
5x = 17
x = 17/5
x = 17/5 |
Find x and y such that
3x + 5y = -79/2
4x + 3y = -16 | 3x + 5y = -79/2
4x + 3y = -16
Using elimination
4*(3x + 5y = -79/2)
3*(4x + 3y = -16)
12x + 20y = -158
12x + 9y = -48
Subtract equations
11y = -110
y = -110/11
y = -10
Substitute y
3x + 5(-10) = -79/2
3x = 21/2
x = 21/2/3
x = 7/2 |
Find the solution to 10x - 70/9 = 0 | 10x - 70/9 = 0
10x = 70/9
x = 70/9 / 10
x = 7/9 |
Solve the system:
6x + 1y = -67/2
6x + 8y = -179/2 | 6x + 1y = -67/2
6x + 8y = -179/2
Using elimination
6*(6x + 1y = -67/2)
6*(6x + 8y = -179/2)
36x + 6y = -201
36x + 48y = -537
Subtract equations
-42y = 336
y = 336/-42
y = -8
Substitute y
6x + 1(-8) = -67/2
6x = -51/2
x = -51/2/6
x = -17/4 |
Solve the equation x^3 - 43/5x^2 - 771/20x - 27 = 0 | x^3 - 43/5x^2 - 771/20x - 27 = 0
(x - -5/2)(x - -9/10)(x - 12) = 0
x - -5/2 = 0
x - -9/10 = 0
x - 12 = 0
x = -5/2
x = -9/10
x = 12 |
Find x in x^2 + 37/8x + 165/32 = 0 | x^2 + 37/8x + 165/32 = 0
(x - -15/8)(x - -11/4) = 0
x - -15/8 = 0 or x - -11/4 = 0
x = -15/8
x = -11/4 |
Solve the equation 10x + 50 = 0 | 10x + 50 = 0
10x = -50
x = -50 / 10
x = -5 |
Solve the equation x^3 - 50/9x^2 - 997/9x + 182 = 0 | x^3 - 50/9x^2 - 997/9x + 182 = 0
(x - 14/9)(x - 13)(x - -9) = 0
x - 14/9 = 0
x - 13 = 0
x - -9 = 0
x = 14/9
x = 13
x = -9 |
Compute the solution of 2x + 8/9 = 0 | 2x + 8/9 = 0
2x = -8/9
x = -8/9 / 2
x = -4/9 |
What value of x satisfies x^2 + 29/8x + 51/16 = 0 | x^2 + 29/8x + 51/16 = 0
(x - -17/8)(x - -3/2) = 0
x - -17/8 = 0 or x - -3/2 = 0
x = -17/8
x = -3/2 |
Solve 5x - 5/7 = 0 | 5x - 5/7 = 0
5x = 5/7
x = 5/7 / 5
x = 1/7 |
Find x for x^2 - 11/15x - 4/5 = 0 | x^2 - 11/15x - 4/5 = 0
(x - -3/5)(x - 4/3) = 0
x - -3/5 = 0 or x - 4/3 = 0
x = -3/5
x = 4/3 |
Determine x in 1x - 7/4 = 0 | 1x - 7/4 = 0
1x = 7/4
x = 7/4 / 1
x = 7/4 |
Solve the system:
1x + 7y = 59/3
1x + 1y = 11/3 | 1x + 7y = 59/3
1x + 1y = 11/3
Using elimination
1*(1x + 7y = 59/3)
1*(1x + 1y = 11/3)
1x + 7y = 59/3
1x + 1y = 11/3
Subtract equations
6y = 16
y = 16/6
y = 8/3
Substitute y
1x + 7(8/3) = 59/3
1x = 1
x = 1/1
x = 1 |
What value of x satisfies 2x - 16/9 = 0 | 2x - 16/9 = 0
2x = 16/9
x = 16/9 / 2
x = 8/9 |
Solve x^3 + 5/2x^2 - 2x - 3/2 = 0 | x^3 + 5/2x^2 - 2x - 3/2 = 0
(x - -1/2)(x - 1)(x - -3) = 0
x - -1/2 = 0
x - 1 = 0
x - -3 = 0
x = -1/2
x = 1
x = -3 |
Solve quickly: x^2 - 37/12x - 95/12 = 0 | x^2 - 37/12x - 95/12 = 0
(x - -5/3)(x - 19/4) = 0
x - -5/3 = 0 or x - 19/4 = 0
x = -5/3
x = 19/4 |
Solve simultaneously:
10x + 2y = -28
8x + 2y = -25 | 10x + 2y = -28
8x + 2y = -25
Using elimination
8*(10x + 2y = -28)
10*(8x + 2y = -25)
80x + 16y = -224
80x + 20y = -250
Subtract equations
-4y = 26
y = 26/-4
y = -13/2
Substitute y
10x + 2(-13/2) = -28
10x = -15
x = -15/10
x = -3/2 |
Determine x in x^2 - 121/18x - 35/6 = 0 | x^2 - 121/18x - 35/6 = 0
(x - 15/2)(x - -7/9) = 0
x - 15/2 = 0 or x - -7/9 = 0
x = 15/2
x = -7/9 |
Determine x in x^2 + 7/5x + 2/5 = 0 | x^2 + 7/5x + 2/5 = 0
(x - -2/5)(x - -1) = 0
x - -2/5 = 0 or x - -1 = 0
x = -2/5
x = -1 |
Find x for 9x = 0 | 9x = 0
9x = 0
x = 0 / 9
x = 0 |
Compute the solution of x^3 + 49/18x^2 + 7/6x + 10/81 = 0 | x^3 + 49/18x^2 + 7/6x + 10/81 = 0
(x - -1/6)(x - -20/9)(x - -1/3) = 0
x - -1/6 = 0
x - -20/9 = 0
x - -1/3 = 0
x = -1/6
x = -20/9
x = -1/3 |
Solve 10x - 45/2 = 0 | 10x - 45/2 = 0
10x = 45/2
x = 45/2 / 10
x = 9/4 |
Solve x^2 - 2x + 1 = 0 | x^2 - 2x + 1 = 0
(x - 1)(x - 1) = 0
x - 1 = 0 or x - 1 = 0
x = 1
x = 1 |
Find x in x^2 - 25/6x + 19/6 = 0 | x^2 - 25/6x + 19/6 = 0
(x - 1)(x - 19/6) = 0
x - 1 = 0 or x - 19/6 = 0
x = 1
x = 19/6 |
Solve the equations:
6x + 2y = -62/3
4x + 8y = -16 | 6x + 2y = -62/3
4x + 8y = -16
Using elimination
4*(6x + 2y = -62/3)
6*(4x + 8y = -16)
24x + 8y = -248/3
24x + 48y = -96
Subtract equations
-40y = 40/3
y = 40/3/-40
y = -1/3
Substitute y
6x + 2(-1/3) = -62/3
6x = -20
x = -20/6
x = -10/3 |
Solve the equation x^3 + 134/15x^2 + 347/15x + 52/3 = 0 | x^3 + 134/15x^2 + 347/15x + 52/3 = 0
(x - -5)(x - -4/3)(x - -13/5) = 0
x - -5 = 0
x - -4/3 = 0
x - -13/5 = 0
x = -5
x = -4/3
x = -13/5 |
Solve the system:
1x + 10y = 37/2
4x + 8y = 10 | 1x + 10y = 37/2
4x + 8y = 10
Using elimination
4*(1x + 10y = 37/2)
1*(4x + 8y = 10)
4x + 40y = 74
4x + 8y = 10
Subtract equations
32y = 64
y = 64/32
y = 2
Substitute y
1x + 10(2) = 37/2
1x = -3/2
x = -3/2/1
x = -3/2 |
Solve x^2 + 13x = 0 | x^2 + 13x = 0
(x - 0)(x - -13) = 0
x - 0 = 0 or x - -13 = 0
x = 0
x = -13 |
Solve simultaneously:
1x + 8y = -104/15
9x + 4y = -256/15 | 1x + 8y = -104/15
9x + 4y = -256/15
Using elimination
9*(1x + 8y = -104/15)
1*(9x + 4y = -256/15)
9x + 72y = -312/5
9x + 4y = -256/15
Subtract equations
68y = -136/3
y = -136/3/68
y = -2/3
Substitute y
1x + 8(-2/3) = -104/15
1x = -8/5
x = -8/5/1
x = -8/5 |
What value of x satisfies x^3 + 129/8x^2 + 993/16x + 1001/16 = 0 | x^3 + 129/8x^2 + 993/16x + 1001/16 = 0
(x - -13/8)(x - -7/2)(x - -11) = 0
x - -13/8 = 0
x - -7/2 = 0
x - -11 = 0
x = -13/8
x = -7/2
x = -11 |
Solve simultaneously:
9x + 5y = -117/4
2x + 3y = -13/2 | 9x + 5y = -117/4
2x + 3y = -13/2
Using elimination
2*(9x + 5y = -117/4)
9*(2x + 3y = -13/2)
18x + 10y = -117/2
18x + 27y = -117/2
Subtract equations
-17y = 0
y = 0/-17
y = 0
Substitute y
9x + 5(0) = -117/4
9x = -117/4
x = -117/4/9
x = -13/4 |
Solve quickly: 1x + 11/5 = 0 | 1x + 11/5 = 0
1x = -11/5
x = -11/5 / 1
x = -11/5 |
Solve quickly: x^2 - 47/28x + 5/14 = 0 | x^2 - 47/28x + 5/14 = 0
(x - 10/7)(x - 1/4) = 0
x - 10/7 = 0 or x - 1/4 = 0
x = 10/7
x = 1/4 |
Solve the equations:
1x + 7y = -107/12
10x + 4y = -271/6 | 1x + 7y = -107/12
10x + 4y = -271/6
Using elimination
10*(1x + 7y = -107/12)
1*(10x + 4y = -271/6)
10x + 70y = -535/6
10x + 4y = -271/6
Subtract equations
66y = -44
y = -44/66
y = -2/3
Substitute y
1x + 7(-2/3) = -107/12
1x = -17/4
x = -17/4/1
x = -17/4 |
Find x for 6x + 24 = 0 | 6x + 24 = 0
6x = -24
x = -24 / 6
x = -4 |
What value of x satisfies 5x + 25/4 = 0 | 5x + 25/4 = 0
5x = -25/4
x = -25/4 / 5
x = -5/4 |
Find the solution to x^2 + 32/3x - 91/3 = 0 | x^2 + 32/3x - 91/3 = 0
(x - -13)(x - 7/3) = 0
x - -13 = 0 or x - 7/3 = 0
x = -13
x = 7/3 |
What value of x satisfies 7x - 126/5 = 0 | 7x - 126/5 = 0
7x = 126/5
x = 126/5 / 7
x = 18/5 |
Determine x in x^3 - 1x^2 - 16x + 16 = 0 | x^3 - 1x^2 - 16x + 16 = 0
(x - -4)(x - 4)(x - 1) = 0
x - -4 = 0
x - 4 = 0
x - 1 = 0
x = -4
x = 4
x = 1 |
Solve the equation x^3 + 113/35x^2 - 16/35x - 204/35 = 0 | x^3 + 113/35x^2 - 16/35x - 204/35 = 0
(x - -17/7)(x - 6/5)(x - -2) = 0
x - -17/7 = 0
x - 6/5 = 0
x - -2 = 0
x = -17/7
x = 6/5
x = -2 |
Solve the equation x^2 - 99/5x + 162/5 = 0 | x^2 - 99/5x + 162/5 = 0
(x - 9/5)(x - 18) = 0
x - 9/5 = 0 or x - 18 = 0
x = 9/5
x = 18 |
Find x for 7x + 70/9 = 0 | 7x + 70/9 = 0
7x = -70/9
x = -70/9 / 7
x = -10/9 |
Solve x^2 + 123/40x + 9/4 = 0 | x^2 + 123/40x + 9/4 = 0
(x - -6/5)(x - -15/8) = 0
x - -6/5 = 0 or x - -15/8 = 0
x = -6/5
x = -15/8 |
Find x in 5x - 25/7 = 0 | 5x - 25/7 = 0
5x = 25/7
x = 25/7 / 5
x = 5/7 |
Find x in x^3 - 67/6x^2 + 27x - 40/3 = 0 | x^3 - 67/6x^2 + 27x - 40/3 = 0
(x - 8)(x - 5/2)(x - 2/3) = 0
x - 8 = 0
x - 5/2 = 0
x - 2/3 = 0
x = 8
x = 5/2
x = 2/3 |
Solve the system:
1x + 2y = 48/5
6x + 8y = 322/5 | 1x + 2y = 48/5
6x + 8y = 322/5
Using elimination
6*(1x + 2y = 48/5)
1*(6x + 8y = 322/5)
6x + 12y = 288/5
6x + 8y = 322/5
Subtract equations
4y = -34/5
y = -34/5/4
y = -17/10
Substitute y
1x + 2(-17/10) = 48/5
1x = 13
x = 13/1
x = 13 |
Solve quickly: 10x + 11 = 0 | 10x + 11 = 0
10x = -11
x = -11 / 10
x = -11/10 |
What value of x satisfies 6x + 3 = 0 | 6x + 3 = 0
6x = -3
x = -3 / 6
x = -1/2 |
Find x in 8x + 13 = 0 | 8x + 13 = 0
8x = -13
x = -13 / 8
x = -13/8 |
Find x in x^2 + 35/24x - 25/4 = 0 | x^2 + 35/24x - 25/4 = 0
(x - -10/3)(x - 15/8) = 0
x - -10/3 = 0 or x - 15/8 = 0
x = -10/3
x = 15/8 |
Find the solution to 5x + 10 = 0 | 5x + 10 = 0
5x = -10
x = -10 / 5
x = -2 |
Determine x in 10x - 110/7 = 0 | 10x - 110/7 = 0
10x = 110/7
x = 110/7 / 10
x = 11/7 |
Determine x in x^2 + 8/3x - 35/3 = 0 | x^2 + 8/3x - 35/3 = 0
(x - 7/3)(x - -5) = 0
x - 7/3 = 0 or x - -5 = 0
x = 7/3
x = -5 |
Solve the equation x^2 + 29/8x + 13/4 = 0 | x^2 + 29/8x + 13/4 = 0
(x - -2)(x - -13/8) = 0
x - -2 = 0 or x - -13/8 = 0
x = -2
x = -13/8 |
Solve 10x - 5 = 0 | 10x - 5 = 0
10x = 5
x = 5 / 10
x = 1/2 |
Solve the equation x^3 - 16/15x^2 - 289/45x + 364/45 = 0 | x^3 - 16/15x^2 - 289/45x + 364/45 = 0
(x - -13/5)(x - 4/3)(x - 7/3) = 0
x - -13/5 = 0
x - 4/3 = 0
x - 7/3 = 0
x = -13/5
x = 4/3
x = 7/3 |
Find x in 7x - 91 = 0 | 7x - 91 = 0
7x = 91
x = 91 / 7
x = 13 |
Solve the equations:
3x + 3y = 18
9x + 4y = 122/3 | 3x + 3y = 18
9x + 4y = 122/3
Using elimination
9*(3x + 3y = 18)
3*(9x + 4y = 122/3)
27x + 27y = 162
27x + 12y = 122
Subtract equations
15y = 40
y = 40/15
y = 8/3
Substitute y
3x + 3(8/3) = 18
3x = 10
x = 10/3
x = 10/3 |
Solve simultaneously:
8x + 1y = 133/6
3x + 2y = 14 | 8x + 1y = 133/6
3x + 2y = 14
Using elimination
3*(8x + 1y = 133/6)
8*(3x + 2y = 14)
24x + 3y = 133/2
24x + 16y = 112
Subtract equations
-13y = -91/2
y = -91/2/-13
y = 7/2
Substitute y
8x + 1(7/2) = 133/6
8x = 56/3
x = 56/3/8
x = 7/3 |
What value of x satisfies x^2 + 13x + 12 = 0 | x^2 + 13x + 12 = 0
(x - -12)(x - -1) = 0
x - -12 = 0 or x - -1 = 0
x = -12
x = -1 |
Find x in x^3 + 11/10x^2 - 587/80x - 143/16 = 0 | x^3 + 11/10x^2 - 587/80x - 143/16 = 0
(x - -13/5)(x - 11/4)(x - -5/4) = 0
x - -13/5 = 0
x - 11/4 = 0
x - -5/4 = 0
x = -13/5
x = 11/4
x = -5/4 |
Find the solution to x^3 - 1147/504x^2 + 181/504x + 143/126 = 0 | x^3 - 1147/504x^2 + 181/504x + 143/126 = 0
(x - 13/8)(x - 11/9)(x - -4/7) = 0
x - 13/8 = 0
x - 11/9 = 0
x - -4/7 = 0
x = 13/8
x = 11/9
x = -4/7 |
Determine x in x^2 - 7/6x = 0 | x^2 - 7/6x = 0
(x - 0)(x - 7/6) = 0
x - 0 = 0 or x - 7/6 = 0
x = 0
x = 7/6 |
Solve the equations:
3x + 7y = -25/2
5x + 5y = -25/6 | 3x + 7y = -25/2
5x + 5y = -25/6
Using elimination
5*(3x + 7y = -25/2)
3*(5x + 5y = -25/6)
15x + 35y = -125/2
15x + 15y = -25/2
Subtract equations
20y = -50
y = -50/20
y = -5/2
Substitute y
3x + 7(-5/2) = -25/2
3x = 5
x = 5/3
x = 5/3 |
Solve quickly: x^3 + 19x^2 + 86x + 104 = 0 | x^3 + 19x^2 + 86x + 104 = 0
(x - -2)(x - -13)(x - -4) = 0
x - -2 = 0
x - -13 = 0
x - -4 = 0
x = -2
x = -13
x = -4 |
Solve the system:
2x + 7y = 365/21
4x + 4y = 380/21 | 2x + 7y = 365/21
4x + 4y = 380/21
Using elimination
4*(2x + 7y = 365/21)
2*(4x + 4y = 380/21)
8x + 28y = 1460/21
8x + 8y = 760/21
Subtract equations
20y = 100/3
y = 100/3/20
y = 5/3
Substitute y
2x + 7(5/3) = 365/21
2x = 40/7
x = 40/7/2
x = 20/7 |
Solve the equation x^2 - 8/5x - 153/25 = 0 | x^2 - 8/5x - 153/25 = 0
(x - 17/5)(x - -9/5) = 0
x - 17/5 = 0 or x - -9/5 = 0
x = 17/5
x = -9/5 |
What value of x satisfies x^3 - 173/42x^2 - 344/21x + 247/42 = 0 | x^3 - 173/42x^2 - 344/21x + 247/42 = 0
(x - 1/3)(x - 13/2)(x - -19/7) = 0
x - 1/3 = 0
x - 13/2 = 0
x - -19/7 = 0
x = 1/3
x = 13/2
x = -19/7 |
Find x and y such that
7x + 5y = -43/3
8x + 1y = -46/3 | 7x + 5y = -43/3
8x + 1y = -46/3
Using elimination
8*(7x + 5y = -43/3)
7*(8x + 1y = -46/3)
56x + 40y = -344/3
56x + 7y = -322/3
Subtract equations
33y = -22/3
y = -22/3/33
y = -2/9
Substitute y
7x + 5(-2/9) = -43/3
7x = -119/9
x = -119/9/7
x = -17/9 |
Compute the solution of x^3 - 1x^2 - 5x - 3 = 0 | x^3 - 1x^2 - 5x - 3 = 0
(x - -1)(x - -1)(x - 3) = 0
x - -1 = 0
x - -1 = 0
x - 3 = 0
x = -1
x = -1
x = 3 |
Compute the solution of x^3 + 25/8x^2 - 17/2x + 35/8 = 0 | x^3 + 25/8x^2 - 17/2x + 35/8 = 0
(x - -5)(x - 1)(x - 7/8) = 0
x - -5 = 0
x - 1 = 0
x - 7/8 = 0
x = -5
x = 1
x = 7/8 |
Find x and y such that
4x + 7y = -248/9
3x + 8y = -241/9 | 4x + 7y = -248/9
3x + 8y = -241/9
Using elimination
3*(4x + 7y = -248/9)
4*(3x + 8y = -241/9)
12x + 21y = -248/3
12x + 32y = -964/9
Subtract equations
-11y = 220/9
y = 220/9/-11
y = -20/9
Substitute y
4x + 7(-20/9) = -248/9
4x = -12
x = -12/4
x = -3 |
Solve the system:
9x + 1y = -143/70
6x + 7y = -43/5 | 9x + 1y = -143/70
6x + 7y = -43/5
Using elimination
6*(9x + 1y = -143/70)
9*(6x + 7y = -43/5)
54x + 6y = -429/35
54x + 63y = -387/5
Subtract equations
-57y = 456/7
y = 456/7/-57
y = -8/7
Substitute y
9x + 1(-8/7) = -143/70
9x = -9/10
x = -9/10/9
x = -1/10 |
Solve x^3 + 71/8x^2 - 253/32x - 1197/64 = 0 | x^3 + 71/8x^2 - 253/32x - 1197/64 = 0
(x - 7/4)(x - -19/2)(x - -9/8) = 0
x - 7/4 = 0
x - -19/2 = 0
x - -9/8 = 0
x = 7/4
x = -19/2
x = -9/8 |
Find the solution to x^2 + 89/20x - 57/40 = 0 | x^2 + 89/20x - 57/40 = 0
(x - 3/10)(x - -19/4) = 0
x - 3/10 = 0 or x - -19/4 = 0
x = 3/10
x = -19/4 |
Solve quickly: x^3 + 3/8x^2 - 35/32x - 9/32 = 0 | x^3 + 3/8x^2 - 35/32x - 9/32 = 0
(x - -1/4)(x - 1)(x - -9/8) = 0
x - -1/4 = 0
x - 1 = 0
x - -9/8 = 0
x = -1/4
x = 1
x = -9/8 |
Solve the equation x^3 - 31/8x^2 - 29/8x + 1105/128 = 0 | x^3 - 31/8x^2 - 29/8x + 1105/128 = 0
(x - 17/4)(x - -13/8)(x - 5/4) = 0
x - 17/4 = 0
x - -13/8 = 0
x - 5/4 = 0
x = 17/4
x = -13/8
x = 5/4 |
What value of x satisfies 9x - 54/7 = 0 | 9x - 54/7 = 0
9x = 54/7
x = 54/7 / 9
x = 6/7 |
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