input stringlengths 13 66 | output stringlengths 30 276 |
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Determine x in x^3 - 13x^2 + 47x - 35 = 0 | x^3 - 13x^2 + 47x - 35 = 0
(x - 5)(x - 1)(x - 7) = 0
x - 5 = 0
x - 1 = 0
x - 7 = 0
x = 5
x = 1
x = 7 |
What value of x satisfies x^2 - 171/10x - 81/5 = 0 | x^2 - 171/10x - 81/5 = 0
(x - -9/10)(x - 18) = 0
x - -9/10 = 0 or x - 18 = 0
x = -9/10
x = 18 |
What value of x satisfies 7x - 63 = 0 | 7x - 63 = 0
7x = 63
x = 63 / 7
x = 9 |
Find x in x^2 + 5/6x - 28/3 = 0 | x^2 + 5/6x - 28/3 = 0
(x - 8/3)(x - -7/2) = 0
x - 8/3 = 0 or x - -7/2 = 0
x = 8/3
x = -7/2 |
Solve simultaneously:
8x + 10y = -434/15
4x + 9y = -79/5 | 8x + 10y = -434/15
4x + 9y = -79/5
Using elimination
4*(8x + 10y = -434/15)
8*(4x + 9y = -79/5)
32x + 40y = -1736/15
32x + 72y = -632/5
Subtract equations
-32y = 32/3
y = 32/3/-32
y = -1/3
Substitute y
8x + 10(-1/3) = -434/15
8x = -128/5
x = -128/5/8
x = -16/5 |
Find x and y such that
2x + 10y = -539/20
9x + 6y = -573/20 | 2x + 10y = -539/20
9x + 6y = -573/20
Using elimination
9*(2x + 10y = -539/20)
2*(9x + 6y = -573/20)
18x + 90y = -4851/20
18x + 12y = -573/10
Subtract equations
78y = -741/4
y = -741/4/78
y = -19/8
Substitute y
2x + 10(-19/8) = -539/20
2x = -16/5
x = -16/5/2
x = -8/5 |
Determine x in x^3 + 1/2x^2 - 31/9x - 28/9 = 0 | x^3 + 1/2x^2 - 31/9x - 28/9 = 0
(x - -7/6)(x - 2)(x - -4/3) = 0
x - -7/6 = 0
x - 2 = 0
x - -4/3 = 0
x = -7/6
x = 2
x = -4/3 |
What value of x satisfies 1x + 7/3 = 0 | 1x + 7/3 = 0
1x = -7/3
x = -7/3 / 1
x = -7/3 |
Determine x in 9x - 60 = 0 | 9x - 60 = 0
9x = 60
x = 60 / 9
x = 20/3 |
Solve quickly: x^2 + 23/3x + 20/3 = 0 | x^2 + 23/3x + 20/3 = 0
(x - -20/3)(x - -1) = 0
x - -20/3 = 0 or x - -1 = 0
x = -20/3
x = -1 |
Compute the solution of 8x + 4 = 0 | 8x + 4 = 0
8x = -4
x = -4 / 8
x = -1/2 |
Solve simultaneously:
4x + 2y = -113/18
6x + 5y = -167/12 | 4x + 2y = -113/18
6x + 5y = -167/12
Using elimination
6*(4x + 2y = -113/18)
4*(6x + 5y = -167/12)
24x + 12y = -113/3
24x + 20y = -167/3
Subtract equations
-8y = 18
y = 18/-8
y = -9/4
Substitute y
4x + 2(-9/4) = -113/18
4x = -16/9
x = -16/9/4
x = -4/9 |
Compute the solution of x^2 - 23/10x - 34/5 = 0 | x^2 - 23/10x - 34/5 = 0
(x - 4)(x - -17/10) = 0
x - 4 = 0 or x - -17/10 = 0
x = 4
x = -17/10 |
What value of x satisfies 2x - 12 = 0 | 2x - 12 = 0
2x = 12
x = 12 / 2
x = 6 |
Solve the equation 1x + 5 = 0 | 1x + 5 = 0
1x = -5
x = -5 / 1
x = -5 |
Solve quickly: 5x - 5/9 = 0 | 5x - 5/9 = 0
5x = 5/9
x = 5/9 / 5
x = 1/9 |
Solve the equations:
3x + 7y = -457/15
3x + 4y = -304/15 | 3x + 7y = -457/15
3x + 4y = -304/15
Using elimination
3*(3x + 7y = -457/15)
3*(3x + 4y = -304/15)
9x + 21y = -457/5
9x + 12y = -304/5
Subtract equations
9y = -153/5
y = -153/5/9
y = -17/5
Substitute y
3x + 7(-17/5) = -457/15
3x = -20/3
x = -20/3/3
x = -20/9 |
Find the solution to x^2 + 51/10x + 289/50 = 0 | x^2 + 51/10x + 289/50 = 0
(x - -17/10)(x - -17/5) = 0
x - -17/10 = 0 or x - -17/5 = 0
x = -17/10
x = -17/5 |
Solve simultaneously:
8x + 6y = -130/21
7x + 1y = -101/21 | 8x + 6y = -130/21
7x + 1y = -101/21
Using elimination
7*(8x + 6y = -130/21)
8*(7x + 1y = -101/21)
56x + 42y = -130/3
56x + 8y = -808/21
Subtract equations
34y = -34/7
y = -34/7/34
y = -1/7
Substitute y
8x + 6(-1/7) = -130/21
8x = -16/3
x = -16/3/8
x = -2/3 |
Compute the solution of x^3 - 1x^2 - 4x + 4 = 0 | x^3 - 1x^2 - 4x + 4 = 0
(x - 2)(x - 1)(x - -2) = 0
x - 2 = 0
x - 1 = 0
x - -2 = 0
x = 2
x = 1
x = -2 |
Determine x in x^3 - 91/90x^2 - 341/45x - 119/30 = 0 | x^3 - 91/90x^2 - 341/45x - 119/30 = 0
(x - 7/2)(x - -3/5)(x - -17/9) = 0
x - 7/2 = 0
x - -3/5 = 0
x - -17/9 = 0
x = 7/2
x = -3/5
x = -17/9 |
What value of x satisfies x^2 + 2/3x - 8/3 = 0 | x^2 + 2/3x - 8/3 = 0
(x - 4/3)(x - -2) = 0
x - 4/3 = 0 or x - -2 = 0
x = 4/3
x = -2 |
Find x for x^3 - 5x^2 - 107/4x - 51/2 = 0 | x^3 - 5x^2 - 107/4x - 51/2 = 0
(x - -2)(x - -3/2)(x - 17/2) = 0
x - -2 = 0
x - -3/2 = 0
x - 17/2 = 0
x = -2
x = -3/2
x = 17/2 |
Compute the solution of x^2 + 22/5x + 21/5 = 0 | x^2 + 22/5x + 21/5 = 0
(x - -7/5)(x - -3) = 0
x - -7/5 = 0 or x - -3 = 0
x = -7/5
x = -3 |
Find the solution to x^2 - 11/9x + 8/27 = 0 | x^2 - 11/9x + 8/27 = 0
(x - 8/9)(x - 1/3) = 0
x - 8/9 = 0 or x - 1/3 = 0
x = 8/9
x = 1/3 |
Determine x in 10x - 45 = 0 | 10x - 45 = 0
10x = 45
x = 45 / 10
x = 9/2 |
Find x for x^3 - 4/3x^2 - 25/3x + 14 = 0 | x^3 - 4/3x^2 - 25/3x + 14 = 0
(x - 7/3)(x - 2)(x - -3) = 0
x - 7/3 = 0
x - 2 = 0
x - -3 = 0
x = 7/3
x = 2
x = -3 |
Compute the solution of x^3 - 61/15x^2 + 29/15x + 17/15 = 0 | x^3 - 61/15x^2 + 29/15x + 17/15 = 0
(x - 17/5)(x - -1/3)(x - 1) = 0
x - 17/5 = 0
x - -1/3 = 0
x - 1 = 0
x = 17/5
x = -1/3
x = 1 |
Solve the equation x^3 + 325/72x^2 + 493/144x - 7/16 = 0 | x^3 + 325/72x^2 + 493/144x - 7/16 = 0
(x - -9/8)(x - -7/2)(x - 1/9) = 0
x - -9/8 = 0
x - -7/2 = 0
x - 1/9 = 0
x = -9/8
x = -7/2
x = 1/9 |
Solve x^3 + 49/18x^2 - 7/54x - 20/27 = 0 | x^3 + 49/18x^2 - 7/54x - 20/27 = 0
(x - 1/2)(x - -5/9)(x - -8/3) = 0
x - 1/2 = 0
x - -5/9 = 0
x - -8/3 = 0
x = 1/2
x = -5/9
x = -8/3 |
Find the solution to x^3 - 35/4x^2 + 137/8x - 15/4 = 0 | x^3 - 35/4x^2 + 137/8x - 15/4 = 0
(x - 5/2)(x - 6)(x - 1/4) = 0
x - 5/2 = 0
x - 6 = 0
x - 1/4 = 0
x = 5/2
x = 6
x = 1/4 |
Solve the equation x^3 - 47/4x^2 - 195/8x + 513/2 = 0 | x^3 - 47/4x^2 - 195/8x + 513/2 = 0
(x - 12)(x - 9/2)(x - -19/4) = 0
x - 12 = 0
x - 9/2 = 0
x - -19/4 = 0
x = 12
x = 9/2
x = -19/4 |
Find x in x^3 - 51/20x^2 - 27/5x + 243/20 = 0 | x^3 - 51/20x^2 - 27/5x + 243/20 = 0
(x - 9/5)(x - -9/4)(x - 3) = 0
x - 9/5 = 0
x - -9/4 = 0
x - 3 = 0
x = 9/5
x = -9/4
x = 3 |
Solve x^3 + 11/5x^2 - 16/5x - 36/5 = 0 | x^3 + 11/5x^2 - 16/5x - 36/5 = 0
(x - -2)(x - -2)(x - 9/5) = 0
x - -2 = 0
x - -2 = 0
x - 9/5 = 0
x = -2
x = -2
x = 9/5 |
Solve simultaneously:
7x + 4y = -1139/36
5x + 7y = -1145/36 | 7x + 4y = -1139/36
5x + 7y = -1145/36
Using elimination
5*(7x + 4y = -1139/36)
7*(5x + 7y = -1145/36)
35x + 20y = -5695/36
35x + 49y = -8015/36
Subtract equations
-29y = 580/9
y = 580/9/-29
y = -20/9
Substitute y
7x + 4(-20/9) = -1139/36
7x = -91/4
x = -91/4/7
x = -13/4 |
Find x for x^3 - 41/5x^2 + 8/5x = 0 | x^3 - 41/5x^2 + 8/5x = 0
(x - 1/5)(x - 8)(x - 0) = 0
x - 1/5 = 0
x - 8 = 0
x - 0 = 0
x = 1/5
x = 8
x = 0 |
Find x in 7x = 0 | 7x = 0
7x = 0
x = 0 / 7
x = 0 |
Compute the solution of x^2 - 128/7x - 240/7 = 0 | x^2 - 128/7x - 240/7 = 0
(x - -12/7)(x - 20) = 0
x - -12/7 = 0 or x - 20 = 0
x = -12/7
x = 20 |
Find x in x^3 + 29/7x^2 + 38/7x + 16/7 = 0 | x^3 + 29/7x^2 + 38/7x + 16/7 = 0
(x - -8/7)(x - -2)(x - -1) = 0
x - -8/7 = 0
x - -2 = 0
x - -1 = 0
x = -8/7
x = -2
x = -1 |
Find x in x^2 - 47/12x - 17/12 = 0 | x^2 - 47/12x - 17/12 = 0
(x - 17/4)(x - -1/3) = 0
x - 17/4 = 0 or x - -1/3 = 0
x = 17/4
x = -1/3 |
Determine x in 2x - 26/3 = 0 | 2x - 26/3 = 0
2x = 26/3
x = 26/3 / 2
x = 13/3 |
Determine x in x^3 - 11/3x^2 - 58x - 160/3 = 0 | x^3 - 11/3x^2 - 58x - 160/3 = 0
(x - -16/3)(x - -1)(x - 10) = 0
x - -16/3 = 0
x - -1 = 0
x - 10 = 0
x = -16/3
x = -1
x = 10 |
Solve simultaneously:
2x + 9y = 69
7x + 1y = 28 | 2x + 9y = 69
7x + 1y = 28
Using elimination
7*(2x + 9y = 69)
2*(7x + 1y = 28)
14x + 63y = 483
14x + 2y = 56
Subtract equations
61y = 427
y = 427/61
y = 7
Substitute y
2x + 9(7) = 69
2x = 6
x = 6/2
x = 3 |
Find x in 4x + 64/7 = 0 | 4x + 64/7 = 0
4x = -64/7
x = -64/7 / 4
x = -16/7 |
Solve x^3 - 117/20x^2 + 13/8x + 33/20 = 0 | x^3 - 117/20x^2 + 13/8x + 33/20 = 0
(x - 11/2)(x - 3/4)(x - -2/5) = 0
x - 11/2 = 0
x - 3/4 = 0
x - -2/5 = 0
x = 11/2
x = 3/4
x = -2/5 |
Solve quickly: 2x + 2/3 = 0 | 2x + 2/3 = 0
2x = -2/3
x = -2/3 / 2
x = -1/3 |
Find x and y such that
3x + 4y = -17
8x + 10y = -259/6 | 3x + 4y = -17
8x + 10y = -259/6
Using elimination
8*(3x + 4y = -17)
3*(8x + 10y = -259/6)
24x + 32y = -136
24x + 30y = -259/2
Subtract equations
2y = -13/2
y = -13/2/2
y = -13/4
Substitute y
3x + 4(-13/4) = -17
3x = -4
x = -4/3
x = -4/3 |
Find x for x^3 - 29/30x^2 - 13/6x + 6/5 = 0 | x^3 - 29/30x^2 - 13/6x + 6/5 = 0
(x - 1/2)(x - -4/3)(x - 9/5) = 0
x - 1/2 = 0
x - -4/3 = 0
x - 9/5 = 0
x = 1/2
x = -4/3
x = 9/5 |
Determine x in 6x + 108/5 = 0 | 6x + 108/5 = 0
6x = -108/5
x = -108/5 / 6
x = -18/5 |
Compute the solution of x^2 + 10/3x = 0 | x^2 + 10/3x = 0
(x - -10/3)(x - 0) = 0
x - -10/3 = 0 or x - 0 = 0
x = -10/3
x = 0 |
Compute the solution of x^2 - 13x + 12 = 0 | x^2 - 13x + 12 = 0
(x - 1)(x - 12) = 0
x - 1 = 0 or x - 12 = 0
x = 1
x = 12 |
Find x and y such that
4x + 9y = 50
3x + 5y = 88/3 | 4x + 9y = 50
3x + 5y = 88/3
Using elimination
3*(4x + 9y = 50)
4*(3x + 5y = 88/3)
12x + 27y = 150
12x + 20y = 352/3
Subtract equations
7y = 98/3
y = 98/3/7
y = 14/3
Substitute y
4x + 9(14/3) = 50
4x = 8
x = 8/4
x = 2 |
Solve quickly: x^2 + 18/35x - 81/35 = 0 | x^2 + 18/35x - 81/35 = 0
(x - -9/5)(x - 9/7) = 0
x - -9/5 = 0 or x - 9/7 = 0
x = -9/5
x = 9/7 |
Find the solution to 6x - 5 = 0 | 6x - 5 = 0
6x = 5
x = 5 / 6
x = 5/6 |
Find x in x^3 - 31/60x^2 - 93/20x + 14/3 = 0 | x^3 - 31/60x^2 - 93/20x + 14/3 = 0
(x - -7/3)(x - 5/4)(x - 8/5) = 0
x - -7/3 = 0
x - 5/4 = 0
x - 8/5 = 0
x = -7/3
x = 5/4
x = 8/5 |
Solve the equations:
1x + 9y = 56/5
6x + 5y = -21 | 1x + 9y = 56/5
6x + 5y = -21
Using elimination
6*(1x + 9y = 56/5)
1*(6x + 5y = -21)
6x + 54y = 336/5
6x + 5y = -21
Subtract equations
49y = 441/5
y = 441/5/49
y = 9/5
Substitute y
1x + 9(9/5) = 56/5
1x = -5
x = -5/1
x = -5 |
Solve 6x - 18 = 0 | 6x - 18 = 0
6x = 18
x = 18 / 6
x = 3 |
Determine x in x^3 - 365/18x^2 + 628/27x + 1045/54 = 0 | x^3 - 365/18x^2 + 628/27x + 1045/54 = 0
(x - 11/6)(x - 19)(x - -5/9) = 0
x - 11/6 = 0
x - 19 = 0
x - -5/9 = 0
x = 11/6
x = 19
x = -5/9 |
Compute the solution of x^2 + 61/3x + 42 = 0 | x^2 + 61/3x + 42 = 0
(x - -7/3)(x - -18) = 0
x - -7/3 = 0 or x - -18 = 0
x = -7/3
x = -18 |
Find x in 2x + 32 = 0 | 2x + 32 = 0
2x = -32
x = -32 / 2
x = -16 |
Determine x in x^2 - 19/7x = 0 | x^2 - 19/7x = 0
(x - 19/7)(x - 0) = 0
x - 19/7 = 0 or x - 0 = 0
x = 19/7
x = 0 |
Solve the system:
2x + 6y = 15/2
8x + 10y = 16 | 2x + 6y = 15/2
8x + 10y = 16
Using elimination
8*(2x + 6y = 15/2)
2*(8x + 10y = 16)
16x + 48y = 60
16x + 20y = 32
Subtract equations
28y = 28
y = 28/28
y = 1
Substitute y
2x + 6(1) = 15/2
2x = 3/2
x = 3/2/2
x = 3/4 |
What value of x satisfies x^2 - 40/3x - 128/3 = 0 | x^2 - 40/3x - 128/3 = 0
(x - -8/3)(x - 16) = 0
x - -8/3 = 0 or x - 16 = 0
x = -8/3
x = 16 |
Find the solution to x^2 - 36/5x - 32/5 = 0 | x^2 - 36/5x - 32/5 = 0
(x - -4/5)(x - 8) = 0
x - -4/5 = 0 or x - 8 = 0
x = -4/5
x = 8 |
Find the solution to 2x - 10 = 0 | 2x - 10 = 0
2x = 10
x = 10 / 2
x = 5 |
Solve x^3 + 71/14x^2 - 37x - 935/14 = 0 | x^3 + 71/14x^2 - 37x - 935/14 = 0
(x - -17/2)(x - 5)(x - -11/7) = 0
x - -17/2 = 0
x - 5 = 0
x - -11/7 = 0
x = -17/2
x = 5
x = -11/7 |
Find x and y such that
1x + 5y = -101/7
9x + 2y = -221/7 | 1x + 5y = -101/7
9x + 2y = -221/7
Using elimination
9*(1x + 5y = -101/7)
1*(9x + 2y = -221/7)
9x + 45y = -909/7
9x + 2y = -221/7
Subtract equations
43y = -688/7
y = -688/7/43
y = -16/7
Substitute y
1x + 5(-16/7) = -101/7
1x = -3
x = -3/1
x = -3 |
Solve quickly: x^3 - 71/24x^2 - 37/32x + 65/96 = 0 | x^3 - 71/24x^2 - 37/32x + 65/96 = 0
(x - 13/4)(x - -5/8)(x - 1/3) = 0
x - 13/4 = 0
x - -5/8 = 0
x - 1/3 = 0
x = 13/4
x = -5/8
x = 1/3 |
Solve x^3 + 13/4x^2 - 165/8x - 513/8 = 0 | x^3 + 13/4x^2 - 165/8x - 513/8 = 0
(x - 9/2)(x - -19/4)(x - -3) = 0
x - 9/2 = 0
x - -19/4 = 0
x - -3 = 0
x = 9/2
x = -19/4
x = -3 |
Solve quickly: x^2 - 4x + 20/9 = 0 | x^2 - 4x + 20/9 = 0
(x - 10/3)(x - 2/3) = 0
x - 10/3 = 0 or x - 2/3 = 0
x = 10/3
x = 2/3 |
Solve simultaneously:
6x + 7y = -37/5
5x + 10y = -12 | 6x + 7y = -37/5
5x + 10y = -12
Using elimination
5*(6x + 7y = -37/5)
6*(5x + 10y = -12)
30x + 35y = -37
30x + 60y = -72
Subtract equations
-25y = 35
y = 35/-25
y = -7/5
Substitute y
6x + 7(-7/5) = -37/5
6x = 12/5
x = 12/5/6
x = 2/5 |
Find x and y such that
4x + 4y = 38/3
3x + 5y = 113/6 | 4x + 4y = 38/3
3x + 5y = 113/6
Using elimination
3*(4x + 4y = 38/3)
4*(3x + 5y = 113/6)
12x + 12y = 38
12x + 20y = 226/3
Subtract equations
-8y = -112/3
y = -112/3/-8
y = 14/3
Substitute y
4x + 4(14/3) = 38/3
4x = -6
x = -6/4
x = -3/2 |
Find x in 10x + 20 = 0 | 10x + 20 = 0
10x = -20
x = -20 / 10
x = -2 |
Find x for x^3 + 217/24x^2 + 413/18x + 152/9 = 0 | x^3 + 217/24x^2 + 413/18x + 152/9 = 0
(x - -16/3)(x - -4/3)(x - -19/8) = 0
x - -16/3 = 0
x - -4/3 = 0
x - -19/8 = 0
x = -16/3
x = -4/3
x = -19/8 |
Determine x in x^2 + 13/8x + 5/8 = 0 | x^2 + 13/8x + 5/8 = 0
(x - -1)(x - -5/8) = 0
x - -1 = 0 or x - -5/8 = 0
x = -1
x = -5/8 |
Find x in x^3 + 493/84x^2 + 78/7x + 27/4 = 0 | x^3 + 493/84x^2 + 78/7x + 27/4 = 0
(x - -9/4)(x - -9/7)(x - -7/3) = 0
x - -9/4 = 0
x - -9/7 = 0
x - -7/3 = 0
x = -9/4
x = -9/7
x = -7/3 |
Solve the equation x^2 + 31/63x - 44/21 = 0 | x^2 + 31/63x - 44/21 = 0
(x - -12/7)(x - 11/9) = 0
x - -12/7 = 0 or x - 11/9 = 0
x = -12/7
x = 11/9 |
Solve simultaneously:
4x + 7y = 35
10x + 6y = 53 | 4x + 7y = 35
10x + 6y = 53
Using elimination
10*(4x + 7y = 35)
4*(10x + 6y = 53)
40x + 70y = 350
40x + 24y = 212
Subtract equations
46y = 138
y = 138/46
y = 3
Substitute y
4x + 7(3) = 35
4x = 14
x = 14/4
x = 7/2 |
Find the solution to x^2 - 167/42x + 68/21 = 0 | x^2 - 167/42x + 68/21 = 0
(x - 17/6)(x - 8/7) = 0
x - 17/6 = 0 or x - 8/7 = 0
x = 17/6
x = 8/7 |
Solve 8x + 72/5 = 0 | 8x + 72/5 = 0
8x = -72/5
x = -72/5 / 8
x = -9/5 |
Find x and y such that
8x + 7y = -7
5x + 8y = -535/56 | 8x + 7y = -7
5x + 8y = -535/56
Using elimination
5*(8x + 7y = -7)
8*(5x + 8y = -535/56)
40x + 35y = -35
40x + 64y = -535/7
Subtract equations
-29y = 290/7
y = 290/7/-29
y = -10/7
Substitute y
8x + 7(-10/7) = -7
8x = 3
x = 3/8
x = 3/8 |
Solve quickly: x^3 - 18x^2 + 335/4x - 75/2 = 0 | x^3 - 18x^2 + 335/4x - 75/2 = 0
(x - 15/2)(x - 1/2)(x - 10) = 0
x - 15/2 = 0
x - 1/2 = 0
x - 10 = 0
x = 15/2
x = 1/2
x = 10 |
Solve the system:
1x + 2y = -162/7
1x + 5y = -393/7 | 1x + 2y = -162/7
1x + 5y = -393/7
Using elimination
1*(1x + 2y = -162/7)
1*(1x + 5y = -393/7)
1x + 2y = -162/7
1x + 5y = -393/7
Subtract equations
-3y = 33
y = 33/-3
y = -11
Substitute y
1x + 2(-11) = -162/7
1x = -8/7
x = -8/7/1
x = -8/7 |
Solve quickly: x^3 + 25/4x^2 + 99/8x + 63/8 = 0 | x^3 + 25/4x^2 + 99/8x + 63/8 = 0
(x - -7/4)(x - -3/2)(x - -3) = 0
x - -7/4 = 0
x - -3/2 = 0
x - -3 = 0
x = -7/4
x = -3/2
x = -3 |
What value of x satisfies x^3 - 25/24x^2 - 57/32x + 65/48 = 0 | x^3 - 25/24x^2 - 57/32x + 65/48 = 0
(x - 13/8)(x - 2/3)(x - -5/4) = 0
x - 13/8 = 0
x - 2/3 = 0
x - -5/4 = 0
x = 13/8
x = 2/3
x = -5/4 |
Compute the solution of x^3 + 11x^2 + 36x + 36 = 0 | x^3 + 11x^2 + 36x + 36 = 0
(x - -2)(x - -3)(x - -6) = 0
x - -2 = 0
x - -3 = 0
x - -6 = 0
x = -2
x = -3
x = -6 |
Find x and y such that
1x + 8y = 41/14
6x + 4y = -9/7 | 1x + 8y = 41/14
6x + 4y = -9/7
Using elimination
6*(1x + 8y = 41/14)
1*(6x + 4y = -9/7)
6x + 48y = 123/7
6x + 4y = -9/7
Subtract equations
44y = 132/7
y = 132/7/44
y = 3/7
Substitute y
1x + 8(3/7) = 41/14
1x = -1/2
x = -1/2/1
x = -1/2 |
Solve quickly: x^2 - 4x - 32 = 0 | x^2 - 4x - 32 = 0
(x - 8)(x - -4) = 0
x - 8 = 0 or x - -4 = 0
x = 8
x = -4 |
Solve the equation 8x - 56/9 = 0 | 8x - 56/9 = 0
8x = 56/9
x = 56/9 / 8
x = 7/9 |
What value of x satisfies 8x - 8 = 0 | 8x - 8 = 0
8x = 8
x = 8 / 8
x = 1 |
Find the solution to x^2 - 2x = 0 | x^2 - 2x = 0
(x - 2)(x - 0) = 0
x - 2 = 0 or x - 0 = 0
x = 2
x = 0 |
What value of x satisfies x^3 - 9/10x^2 - 661/10x - 741/5 = 0 | x^3 - 9/10x^2 - 661/10x - 741/5 = 0
(x - -13/5)(x - 19/2)(x - -6) = 0
x - -13/5 = 0
x - 19/2 = 0
x - -6 = 0
x = -13/5
x = 19/2
x = -6 |
What value of x satisfies 7x - 91/3 = 0 | 7x - 91/3 = 0
7x = 91/3
x = 91/3 / 7
x = 13/3 |
Solve the equations:
9x + 5y = -67/7
4x + 4y = -92/7 | 9x + 5y = -67/7
4x + 4y = -92/7
Using elimination
4*(9x + 5y = -67/7)
9*(4x + 4y = -92/7)
36x + 20y = -268/7
36x + 36y = -828/7
Subtract equations
-16y = 80
y = 80/-16
y = -5
Substitute y
9x + 5(-5) = -67/7
9x = 108/7
x = 108/7/9
x = 12/7 |
Find x in x^3 - 33/8x^2 - 45/4x = 0 | x^3 - 33/8x^2 - 45/4x = 0
(x - 6)(x - 0)(x - -15/8) = 0
x - 6 = 0
x - 0 = 0
x - -15/8 = 0
x = 6
x = 0
x = -15/8 |
Find the solution to x^3 + 37/90x^2 - 791/270x - 8/9 = 0 | x^3 + 37/90x^2 - 791/270x - 8/9 = 0
(x - 5/3)(x - -3/10)(x - -16/9) = 0
x - 5/3 = 0
x - -3/10 = 0
x - -16/9 = 0
x = 5/3
x = -3/10
x = -16/9 |
Solve quickly: 7x + 91/4 = 0 | 7x + 91/4 = 0
7x = -91/4
x = -91/4 / 7
x = -13/4 |
Find the solution to x^2 - 27/28x - 9/7 = 0 | x^2 - 27/28x - 9/7 = 0
(x - -3/4)(x - 12/7) = 0
x - -3/4 = 0 or x - 12/7 = 0
x = -3/4
x = 12/7 |
Solve the equation 4x + 52/7 = 0 | 4x + 52/7 = 0
4x = -52/7
x = -52/7 / 4
x = -13/7 |
Determine x in x^2 - 149/72x + 13/18 = 0 | x^2 - 149/72x + 13/18 = 0
(x - 4/9)(x - 13/8) = 0
x - 4/9 = 0 or x - 13/8 = 0
x = 4/9
x = 13/8 |
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