input stringlengths 13 66 | output stringlengths 30 276 |
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Determine x in x^3 - 19/20x^2 - 43/2x + 165/4 = 0 | x^3 - 19/20x^2 - 43/2x + 165/4 = 0
(x - 11/5)(x - 15/4)(x - -5) = 0
x - 11/5 = 0
x - 15/4 = 0
x - -5 = 0
x = 11/5
x = 15/4
x = -5 |
Find x in 1x - 10 = 0 | 1x - 10 = 0
1x = 10
x = 10 / 1
x = 10 |
Determine x in 7x + 77/3 = 0 | 7x + 77/3 = 0
7x = -77/3
x = -77/3 / 7
x = -11/3 |
Find the solution to x^3 - 57/28x^2 - 5/56x + 75/56 = 0 | x^3 - 57/28x^2 - 5/56x + 75/56 = 0
(x - 5/4)(x - 3/2)(x - -5/7) = 0
x - 5/4 = 0
x - 3/2 = 0
x - -5/7 = 0
x = 5/4
x = 3/2
x = -5/7 |
Determine x in x^3 - 3/4x^2 - 31/4x + 21/2 = 0 | x^3 - 3/4x^2 - 31/4x + 21/2 = 0
(x - 2)(x - 7/4)(x - -3) = 0
x - 2 = 0
x - 7/4 = 0
x - -3 = 0
x = 2
x = 7/4
x = -3 |
Find x in 4x + 40/3 = 0 | 4x + 40/3 = 0
4x = -40/3
x = -40/3 / 4
x = -10/3 |
Find the solution to x^3 + 25/18x^2 - 181/18x - 28/3 = 0 | x^3 + 25/18x^2 - 181/18x - 28/3 = 0
(x - -8/9)(x - -7/2)(x - 3) = 0
x - -8/9 = 0
x - -7/2 = 0
x - 3 = 0
x = -8/9
x = -7/2
x = 3 |
Solve the equation x^2 + 187/10x - 26 = 0 | x^2 + 187/10x - 26 = 0
(x - 13/10)(x - -20) = 0
x - 13/10 = 0 or x - -20 = 0
x = 13/10
x = -20 |
Find the solution to x^2 - 11/3x - 14 = 0 | x^2 - 11/3x - 14 = 0
(x - -7/3)(x - 6) = 0
x - -7/3 = 0 or x - 6 = 0
x = -7/3
x = 6 |
Compute the solution of 8x + 104 = 0 | 8x + 104 = 0
8x = -104
x = -104 / 8
x = -13 |
Find x in 1x + 7/8 = 0 | 1x + 7/8 = 0
1x = -7/8
x = -7/8 / 1
x = -7/8 |
Determine x in x^3 + 77/20x^2 + 57/25x - 297/100 = 0 | x^3 + 77/20x^2 + 57/25x - 297/100 = 0
(x - -11/5)(x - -9/4)(x - 3/5) = 0
x - -11/5 = 0
x - -9/4 = 0
x - 3/5 = 0
x = -11/5
x = -9/4
x = 3/5 |
Find x in x^2 - 10/3x + 221/81 = 0 | x^2 - 10/3x + 221/81 = 0
(x - 17/9)(x - 13/9) = 0
x - 17/9 = 0 or x - 13/9 = 0
x = 17/9
x = 13/9 |
Solve the equation x^3 + 49/20x^2 - 3/100x - 27/25 = 0 | x^3 + 49/20x^2 - 3/100x - 27/25 = 0
(x - -9/4)(x - 3/5)(x - -4/5) = 0
x - -9/4 = 0
x - 3/5 = 0
x - -4/5 = 0
x = -9/4
x = 3/5
x = -4/5 |
Find x in 1x + 17/2 = 0 | 1x + 17/2 = 0
1x = -17/2
x = -17/2 / 1
x = -17/2 |
Compute the solution of x^3 + 26/7x^2 + 95/28x + 25/28 = 0 | x^3 + 26/7x^2 + 95/28x + 25/28 = 0
(x - -1/2)(x - -5/7)(x - -5/2) = 0
x - -1/2 = 0
x - -5/7 = 0
x - -5/2 = 0
x = -1/2
x = -5/7
x = -5/2 |
Determine x in x^2 + 18/5x + 56/25 = 0 | x^2 + 18/5x + 56/25 = 0
(x - -4/5)(x - -14/5) = 0
x - -4/5 = 0 or x - -14/5 = 0
x = -4/5
x = -14/5 |
Find x for 9x + 153 = 0 | 9x + 153 = 0
9x = -153
x = -153 / 9
x = -17 |
Find x and y such that
6x + 1y = 21/2
4x + 4y = 2 | 6x + 1y = 21/2
4x + 4y = 2
Using elimination
4*(6x + 1y = 21/2)
6*(4x + 4y = 2)
24x + 4y = 42
24x + 24y = 12
Subtract equations
-20y = 30
y = 30/-20
y = -3/2
Substitute y
6x + 1(-3/2) = 21/2
6x = 12
x = 12/6
x = 2 |
Determine x in 1x + 3/2 = 0 | 1x + 3/2 = 0
1x = -3/2
x = -3/2 / 1
x = -3/2 |
Solve simultaneously:
9x + 8y = 306/35
2x + 3y = -9/35 | 9x + 8y = 306/35
2x + 3y = -9/35
Using elimination
2*(9x + 8y = 306/35)
9*(2x + 3y = -9/35)
18x + 16y = 612/35
18x + 27y = -81/35
Subtract equations
-11y = 99/5
y = 99/5/-11
y = -9/5
Substitute y
9x + 8(-9/5) = 306/35
9x = 162/7
x = 162/7/9
x = 18/7 |
What value of x satisfies x^3 - 303/20x^2 + 89/40x + 3/8 = 0 | x^3 - 303/20x^2 + 89/40x + 3/8 = 0
(x - -1/10)(x - 15)(x - 1/4) = 0
x - -1/10 = 0
x - 15 = 0
x - 1/4 = 0
x = -1/10
x = 15
x = 1/4 |
Solve the system:
7x + 6y = -24
1x + 10y = -56/3 | 7x + 6y = -24
1x + 10y = -56/3
Using elimination
1*(7x + 6y = -24)
7*(1x + 10y = -56/3)
7x + 6y = -24
7x + 70y = -392/3
Subtract equations
-64y = 320/3
y = 320/3/-64
y = -5/3
Substitute y
7x + 6(-5/3) = -24
7x = -14
x = -14/7
x = -2 |
Compute the solution of x^3 + 58/5x^2 + 72/5x - 576/5 = 0 | x^3 + 58/5x^2 + 72/5x - 576/5 = 0
(x - -8)(x - 12/5)(x - -6) = 0
x - -8 = 0
x - 12/5 = 0
x - -6 = 0
x = -8
x = 12/5
x = -6 |
What value of x satisfies x^3 + 659/280x^2 - 71/280x - 9/4 = 0 | x^3 + 659/280x^2 - 71/280x - 9/4 = 0
(x - 7/8)(x - -10/7)(x - -9/5) = 0
x - 7/8 = 0
x - -10/7 = 0
x - -9/5 = 0
x = 7/8
x = -10/7
x = -9/5 |
Determine x in 5x - 15 = 0 | 5x - 15 = 0
5x = 15
x = 15 / 5
x = 3 |
Solve quickly: x^3 - 141/14x^2 - 341/14x + 102/7 = 0 | x^3 - 141/14x^2 - 341/14x + 102/7 = 0
(x - -17/7)(x - 12)(x - 1/2) = 0
x - -17/7 = 0
x - 12 = 0
x - 1/2 = 0
x = -17/7
x = 12
x = 1/2 |
Solve simultaneously:
1x + 7y = 346/5
8x + 8y = 368/5 | 1x + 7y = 346/5
8x + 8y = 368/5
Using elimination
8*(1x + 7y = 346/5)
1*(8x + 8y = 368/5)
8x + 56y = 2768/5
8x + 8y = 368/5
Subtract equations
48y = 480
y = 480/48
y = 10
Substitute y
1x + 7(10) = 346/5
1x = -4/5
x = -4/5/1
x = -4/5 |
Solve the equation 6x - 6 = 0 | 6x - 6 = 0
6x = 6
x = 6 / 6
x = 1 |
Solve quickly: x^2 - 9x + 17/4 = 0 | x^2 - 9x + 17/4 = 0
(x - 1/2)(x - 17/2) = 0
x - 1/2 = 0 or x - 17/2 = 0
x = 1/2
x = 17/2 |
Solve quickly: x^3 - 17/12x^2 + 1/2x = 0 | x^3 - 17/12x^2 + 1/2x = 0
(x - 3/4)(x - 2/3)(x - 0) = 0
x - 3/4 = 0
x - 2/3 = 0
x - 0 = 0
x = 3/4
x = 2/3
x = 0 |
Solve simultaneously:
8x + 3y = -11
1x + 4y = -5 | 8x + 3y = -11
1x + 4y = -5
Using elimination
1*(8x + 3y = -11)
8*(1x + 4y = -5)
8x + 3y = -11
8x + 32y = -40
Subtract equations
-29y = 29
y = 29/-29
y = -1
Substitute y
8x + 3(-1) = -11
8x = -8
x = -8/8
x = -1 |
Solve x^3 - 9/20x^2 - 71/8x - 63/10 = 0 | x^3 - 9/20x^2 - 71/8x - 63/10 = 0
(x - 7/2)(x - -4/5)(x - -9/4) = 0
x - 7/2 = 0
x - -4/5 = 0
x - -9/4 = 0
x = 7/2
x = -4/5
x = -9/4 |
Determine x in 3x + 21/4 = 0 | 3x + 21/4 = 0
3x = -21/4
x = -21/4 / 3
x = -7/4 |
Find x for x^2 + 53/9x - 140/27 = 0 | x^2 + 53/9x - 140/27 = 0
(x - -20/3)(x - 7/9) = 0
x - -20/3 = 0 or x - 7/9 = 0
x = -20/3
x = 7/9 |
Find x in 8x - 44/3 = 0 | 8x - 44/3 = 0
8x = 44/3
x = 44/3 / 8
x = 11/6 |
Find the solution to x^2 - 107/28x - 51/28 = 0 | x^2 - 107/28x - 51/28 = 0
(x - -3/7)(x - 17/4) = 0
x - -3/7 = 0 or x - 17/4 = 0
x = -3/7
x = 17/4 |
Solve the equations:
5x + 2y = 64/9
7x + 10y = -40/9 | 5x + 2y = 64/9
7x + 10y = -40/9
Using elimination
7*(5x + 2y = 64/9)
5*(7x + 10y = -40/9)
35x + 14y = 448/9
35x + 50y = -200/9
Subtract equations
-36y = 72
y = 72/-36
y = -2
Substitute y
5x + 2(-2) = 64/9
5x = 100/9
x = 100/9/5
x = 20/9 |
Solve simultaneously:
3x + 3y = -150/7
8x + 3y = -155/7 | 3x + 3y = -150/7
8x + 3y = -155/7
Using elimination
8*(3x + 3y = -150/7)
3*(8x + 3y = -155/7)
24x + 24y = -1200/7
24x + 9y = -465/7
Subtract equations
15y = -105
y = -105/15
y = -7
Substitute y
3x + 3(-7) = -150/7
3x = -3/7
x = -3/7/3
x = -1/7 |
Solve simultaneously:
3x + 3y = 9/2
3x + 5y = 27/10 | 3x + 3y = 9/2
3x + 5y = 27/10
Using elimination
3*(3x + 3y = 9/2)
3*(3x + 5y = 27/10)
9x + 9y = 27/2
9x + 15y = 81/10
Subtract equations
-6y = 27/5
y = 27/5/-6
y = -9/10
Substitute y
3x + 3(-9/10) = 9/2
3x = 36/5
x = 36/5/3
x = 12/5 |
Solve simultaneously:
4x + 6y = 16
6x + 6y = 19 | 4x + 6y = 16
6x + 6y = 19
Using elimination
6*(4x + 6y = 16)
4*(6x + 6y = 19)
24x + 36y = 96
24x + 24y = 76
Subtract equations
12y = 20
y = 20/12
y = 5/3
Substitute y
4x + 6(5/3) = 16
4x = 6
x = 6/4
x = 3/2 |
Solve the equation x^2 - 115/56x + 25/28 = 0 | x^2 - 115/56x + 25/28 = 0
(x - 5/8)(x - 10/7) = 0
x - 5/8 = 0 or x - 10/7 = 0
x = 5/8
x = 10/7 |
Find x in 3x + 9 = 0 | 3x + 9 = 0
3x = -9
x = -9 / 3
x = -3 |
Solve simultaneously:
7x + 2y = -89/12
10x + 4y = -73/6 | 7x + 2y = -89/12
10x + 4y = -73/6
Using elimination
10*(7x + 2y = -89/12)
7*(10x + 4y = -73/6)
70x + 20y = -445/6
70x + 28y = -511/6
Subtract equations
-8y = 11
y = 11/-8
y = -11/8
Substitute y
7x + 2(-11/8) = -89/12
7x = -14/3
x = -14/3/7
x = -2/3 |
Find x in 6x - 12 = 0 | 6x - 12 = 0
6x = 12
x = 12 / 6
x = 2 |
Find x and y such that
7x + 9y = -9
3x + 1y = -1 | 7x + 9y = -9
3x + 1y = -1
Using elimination
3*(7x + 9y = -9)
7*(3x + 1y = -1)
21x + 27y = -27
21x + 7y = -7
Subtract equations
20y = -20
y = -20/20
y = -1
Substitute y
7x + 9(-1) = -9
7x = 0
x = 0/7
x = 0 |
Find x and y such that
1x + 6y = -5/6
3x + 8y = -65/18 | 1x + 6y = -5/6
3x + 8y = -65/18
Using elimination
3*(1x + 6y = -5/6)
1*(3x + 8y = -65/18)
3x + 18y = -5/2
3x + 8y = -65/18
Subtract equations
10y = 10/9
y = 10/9/10
y = 1/9
Substitute y
1x + 6(1/9) = -5/6
1x = -3/2
x = -3/2/1
x = -3/2 |
Solve the equation 7x - 28 = 0 | 7x - 28 = 0
7x = 28
x = 28 / 7
x = 4 |
Solve the equations:
9x + 5y = 167/3
2x + 3y = 13 | 9x + 5y = 167/3
2x + 3y = 13
Using elimination
2*(9x + 5y = 167/3)
9*(2x + 3y = 13)
18x + 10y = 334/3
18x + 27y = 117
Subtract equations
-17y = -17/3
y = -17/3/-17
y = 1/3
Substitute y
9x + 5(1/3) = 167/3
9x = 54
x = 54/9
x = 6 |
Solve the equation 4x - 9/2 = 0 | 4x - 9/2 = 0
4x = 9/2
x = 9/2 / 4
x = 9/8 |
Find x and y such that
3x + 9y = 80/3
2x + 8y = 220/9 | 3x + 9y = 80/3
2x + 8y = 220/9
Using elimination
2*(3x + 9y = 80/3)
3*(2x + 8y = 220/9)
6x + 18y = 160/3
6x + 24y = 220/3
Subtract equations
-6y = -20
y = -20/-6
y = 10/3
Substitute y
3x + 9(10/3) = 80/3
3x = -10/3
x = -10/3/3
x = -10/9 |
Determine x in x^2 + 13x - 68 = 0 | x^2 + 13x - 68 = 0
(x - -17)(x - 4) = 0
x - -17 = 0 or x - 4 = 0
x = -17
x = 4 |
Find the solution to x^2 + 12/5x - 13 = 0 | x^2 + 12/5x - 13 = 0
(x - 13/5)(x - -5) = 0
x - 13/5 = 0 or x - -5 = 0
x = 13/5
x = -5 |
Find x and y such that
7x + 8y = 53/5
3x + 8y = -7/5 | 7x + 8y = 53/5
3x + 8y = -7/5
Using elimination
3*(7x + 8y = 53/5)
7*(3x + 8y = -7/5)
21x + 24y = 159/5
21x + 56y = -49/5
Subtract equations
-32y = 208/5
y = 208/5/-32
y = -13/10
Substitute y
7x + 8(-13/10) = 53/5
7x = 21
x = 21/7
x = 3 |
Compute the solution of x^2 + 10x + 9 = 0 | x^2 + 10x + 9 = 0
(x - -9)(x - -1) = 0
x - -9 = 0 or x - -1 = 0
x = -9
x = -1 |
Find the solution to 8x + 18 = 0 | 8x + 18 = 0
8x = -18
x = -18 / 8
x = -9/4 |
Find x in x^3 - 249/40x^2 + 507/40x - 169/20 = 0 | x^3 - 249/40x^2 + 507/40x - 169/20 = 0
(x - 13/8)(x - 13/5)(x - 2) = 0
x - 13/8 = 0
x - 13/5 = 0
x - 2 = 0
x = 13/8
x = 13/5
x = 2 |
Solve the equation 7x + 5 = 0 | 7x + 5 = 0
7x = -5
x = -5 / 7
x = -5/7 |
Solve the system:
10x + 5y = -565/63
8x + 5y = -425/63 | 10x + 5y = -565/63
8x + 5y = -425/63
Using elimination
8*(10x + 5y = -565/63)
10*(8x + 5y = -425/63)
80x + 40y = -4520/63
80x + 50y = -4250/63
Subtract equations
-10y = -30/7
y = -30/7/-10
y = 3/7
Substitute y
10x + 5(3/7) = -565/63
10x = -100/9
x = -100/9/10
x = -10/9 |
Find the solution to x^3 - 289/42x^2 - 30/7x + 800/21 = 0 | x^3 - 289/42x^2 - 30/7x + 800/21 = 0
(x - 5/2)(x - 20/3)(x - -16/7) = 0
x - 5/2 = 0
x - 20/3 = 0
x - -16/7 = 0
x = 5/2
x = 20/3
x = -16/7 |
What value of x satisfies x^3 - 3/2x^2 - 253/64x + 195/32 = 0 | x^3 - 3/2x^2 - 253/64x + 195/32 = 0
(x - -2)(x - 13/8)(x - 15/8) = 0
x - -2 = 0
x - 13/8 = 0
x - 15/8 = 0
x = -2
x = 13/8
x = 15/8 |
Find x for x^3 + 114/7x^2 + 1532/49x - 72/7 = 0 | x^3 + 114/7x^2 + 1532/49x - 72/7 = 0
(x - 2/7)(x - -18/7)(x - -14) = 0
x - 2/7 = 0
x - -18/7 = 0
x - -14 = 0
x = 2/7
x = -18/7
x = -14 |
Solve x^3 - 141/28x^2 + 155/28x + 12/7 = 0 | x^3 - 141/28x^2 + 155/28x + 12/7 = 0
(x - 16/7)(x - 3)(x - -1/4) = 0
x - 16/7 = 0
x - 3 = 0
x - -1/4 = 0
x = 16/7
x = 3
x = -1/4 |
Find x for x^3 - 17/24x^2 - 1325/36x + 3553/72 = 0 | x^3 - 17/24x^2 - 1325/36x + 3553/72 = 0
(x - 17/3)(x - -19/3)(x - 11/8) = 0
x - 17/3 = 0
x - -19/3 = 0
x - 11/8 = 0
x = 17/3
x = -19/3
x = 11/8 |
What value of x satisfies x^2 + 8/3x - 11/3 = 0 | x^2 + 8/3x - 11/3 = 0
(x - -11/3)(x - 1) = 0
x - -11/3 = 0 or x - 1 = 0
x = -11/3
x = 1 |
Solve quickly: x^2 - 13/6x - 19/6 = 0 | x^2 - 13/6x - 19/6 = 0
(x - -1)(x - 19/6) = 0
x - -1 = 0 or x - 19/6 = 0
x = -1
x = 19/6 |
Determine x in x^3 - 563/35x^2 - 556/35x + 204/35 = 0 | x^3 - 563/35x^2 - 556/35x + 204/35 = 0
(x - -6/5)(x - 2/7)(x - 17) = 0
x - -6/5 = 0
x - 2/7 = 0
x - 17 = 0
x = -6/5
x = 2/7
x = 17 |
Solve the system:
10x + 3y = -31
9x + 2y = -53/2 | 10x + 3y = -31
9x + 2y = -53/2
Using elimination
9*(10x + 3y = -31)
10*(9x + 2y = -53/2)
90x + 27y = -279
90x + 20y = -265
Subtract equations
7y = -14
y = -14/7
y = -2
Substitute y
10x + 3(-2) = -31
10x = -25
x = -25/10
x = -5/2 |
Solve x^3 + 67/10x^2 + 103/10x + 9/5 = 0 | x^3 + 67/10x^2 + 103/10x + 9/5 = 0
(x - -1/5)(x - -9/2)(x - -2) = 0
x - -1/5 = 0
x - -9/2 = 0
x - -2 = 0
x = -1/5
x = -9/2
x = -2 |
Determine x in 5x + 15 = 0 | 5x + 15 = 0
5x = -15
x = -15 / 5
x = -3 |
Solve the equation x^3 + 7/2x^2 - 84x + 216 = 0 | x^3 + 7/2x^2 - 84x + 216 = 0
(x - -12)(x - 9/2)(x - 4) = 0
x - -12 = 0
x - 9/2 = 0
x - 4 = 0
x = -12
x = 9/2
x = 4 |
Find x and y such that
5x + 4y = -185/3
5x + 5y = -205/3 | 5x + 4y = -185/3
5x + 5y = -205/3
Using elimination
5*(5x + 4y = -185/3)
5*(5x + 5y = -205/3)
25x + 20y = -925/3
25x + 25y = -1025/3
Subtract equations
-5y = 100/3
y = 100/3/-5
y = -20/3
Substitute y
5x + 4(-20/3) = -185/3
5x = -35
x = -35/5
x = -7 |
Find x and y such that
9x + 8y = -493/40
10x + 10y = -61/4 | 9x + 8y = -493/40
10x + 10y = -61/4
Using elimination
10*(9x + 8y = -493/40)
9*(10x + 10y = -61/4)
90x + 80y = -493/4
90x + 90y = -549/4
Subtract equations
-10y = 14
y = 14/-10
y = -7/5
Substitute y
9x + 8(-7/5) = -493/40
9x = -9/8
x = -9/8/9
x = -1/8 |
Find the solution to x^3 + 29/6x^2 - 167/16x - 1235/24 = 0 | x^3 + 29/6x^2 - 167/16x - 1235/24 = 0
(x - -10/3)(x - -19/4)(x - 13/4) = 0
x - -10/3 = 0
x - -19/4 = 0
x - 13/4 = 0
x = -10/3
x = -19/4
x = 13/4 |
Solve the equation x^3 + 19/8x^2 - 57/32x + 9/32 = 0 | x^3 + 19/8x^2 - 57/32x + 9/32 = 0
(x - 1/4)(x - -3)(x - 3/8) = 0
x - 1/4 = 0
x - -3 = 0
x - 3/8 = 0
x = 1/4
x = -3
x = 3/8 |
Solve the system:
6x + 4y = -5
6x + 7y = -11 | 6x + 4y = -5
6x + 7y = -11
Using elimination
6*(6x + 4y = -5)
6*(6x + 7y = -11)
36x + 24y = -30
36x + 42y = -66
Subtract equations
-18y = 36
y = 36/-18
y = -2
Substitute y
6x + 4(-2) = -5
6x = 3
x = 3/6
x = 1/2 |
Solve quickly: 1x + 18 = 0 | 1x + 18 = 0
1x = -18
x = -18 / 1
x = -18 |
Solve simultaneously:
2x + 5y = 13/5
1x + 8y = 23/5 | 2x + 5y = 13/5
1x + 8y = 23/5
Using elimination
1*(2x + 5y = 13/5)
2*(1x + 8y = 23/5)
2x + 5y = 13/5
2x + 16y = 46/5
Subtract equations
-11y = -33/5
y = -33/5/-11
y = 3/5
Substitute y
2x + 5(3/5) = 13/5
2x = -2/5
x = -2/5/2
x = -1/5 |
Solve x^2 - 7x - 60 = 0 | x^2 - 7x - 60 = 0
(x - 12)(x - -5) = 0
x - 12 = 0 or x - -5 = 0
x = 12
x = -5 |
Solve the equation x^3 + 100/3x^2 + 281x + 90 = 0 | x^3 + 100/3x^2 + 281x + 90 = 0
(x - -1/3)(x - -18)(x - -15) = 0
x - -1/3 = 0
x - -18 = 0
x - -15 = 0
x = -1/3
x = -18
x = -15 |
Find x for x^2 - 41/10x + 4 = 0 | x^2 - 41/10x + 4 = 0
(x - 5/2)(x - 8/5) = 0
x - 5/2 = 0 or x - 8/5 = 0
x = 5/2
x = 8/5 |
Compute the solution of x^3 + 11/5x^2 - 144/25x - 324/125 = 0 | x^3 + 11/5x^2 - 144/25x - 324/125 = 0
(x - -18/5)(x - -2/5)(x - 9/5) = 0
x - -18/5 = 0
x - -2/5 = 0
x - 9/5 = 0
x = -18/5
x = -2/5
x = 9/5 |
Find x and y such that
3x + 5y = -15/8
8x + 5y = -5 | 3x + 5y = -15/8
8x + 5y = -5
Using elimination
8*(3x + 5y = -15/8)
3*(8x + 5y = -5)
24x + 40y = -15
24x + 15y = -15
Subtract equations
25y = 0
y = 0/25
y = 0
Substitute y
3x + 5(0) = -15/8
3x = -15/8
x = -15/8/3
x = -5/8 |
Find x in x^2 - 2/9x - 11/9 = 0 | x^2 - 2/9x - 11/9 = 0
(x - 11/9)(x - -1) = 0
x - 11/9 = 0 or x - -1 = 0
x = 11/9
x = -1 |
Solve 7x - 7/8 = 0 | 7x - 7/8 = 0
7x = 7/8
x = 7/8 / 7
x = 1/8 |
Compute the solution of 3x - 27/7 = 0 | 3x - 27/7 = 0
3x = 27/7
x = 27/7 / 3
x = 9/7 |
Find x in x^2 + 7/2x - 2 = 0 | x^2 + 7/2x - 2 = 0
(x - -4)(x - 1/2) = 0
x - -4 = 0 or x - 1/2 = 0
x = -4
x = 1/2 |
Solve simultaneously:
3x + 1y = 85/14
3x + 10y = -115/7 | 3x + 1y = 85/14
3x + 10y = -115/7
Using elimination
3*(3x + 1y = 85/14)
3*(3x + 10y = -115/7)
9x + 3y = 255/14
9x + 30y = -345/7
Subtract equations
-27y = 135/2
y = 135/2/-27
y = -5/2
Substitute y
3x + 1(-5/2) = 85/14
3x = 60/7
x = 60/7/3
x = 20/7 |
Determine x in x^2 + 65/3x + 66 = 0 | x^2 + 65/3x + 66 = 0
(x - -11/3)(x - -18) = 0
x - -11/3 = 0 or x - -18 = 0
x = -11/3
x = -18 |
Solve simultaneously:
3x + 5y = -32
5x + 2y = -157/9 | 3x + 5y = -32
5x + 2y = -157/9
Using elimination
5*(3x + 5y = -32)
3*(5x + 2y = -157/9)
15x + 25y = -160
15x + 6y = -157/3
Subtract equations
19y = -323/3
y = -323/3/19
y = -17/3
Substitute y
3x + 5(-17/3) = -32
3x = -11/3
x = -11/3/3
x = -11/9 |
Compute the solution of 7x - 14 = 0 | 7x - 14 = 0
7x = 14
x = 14 / 7
x = 2 |
Determine x in x^3 + 5/9x^2 - 314/225x + 56/225 = 0 | x^3 + 5/9x^2 - 314/225x + 56/225 = 0
(x - 4/5)(x - 1/5)(x - -14/9) = 0
x - 4/5 = 0
x - 1/5 = 0
x - -14/9 = 0
x = 4/5
x = 1/5
x = -14/9 |
Find x for 5x - 35 = 0 | 5x - 35 = 0
5x = 35
x = 35 / 5
x = 7 |
Solve simultaneously:
10x + 6y = -666/5
4x + 9y = -174/5 | 10x + 6y = -666/5
4x + 9y = -174/5
Using elimination
4*(10x + 6y = -666/5)
10*(4x + 9y = -174/5)
40x + 24y = -2664/5
40x + 90y = -348
Subtract equations
-66y = -924/5
y = -924/5/-66
y = 14/5
Substitute y
10x + 6(14/5) = -666/5
10x = -150
x = -150/10
x = -15 |
Find the solution to x^2 + 10x - 11 = 0 | x^2 + 10x - 11 = 0
(x - 1)(x - -11) = 0
x - 1 = 0 or x - -11 = 0
x = 1
x = -11 |
Find x for x^2 + 26/35x - 48/35 = 0 | x^2 + 26/35x - 48/35 = 0
(x - 6/7)(x - -8/5) = 0
x - 6/7 = 0 or x - -8/5 = 0
x = 6/7
x = -8/5 |
What value of x satisfies x^2 + 18/7x - 9/7 = 0 | x^2 + 18/7x - 9/7 = 0
(x - 3/7)(x - -3) = 0
x - 3/7 = 0 or x - -3 = 0
x = 3/7
x = -3 |
Solve the equation x^3 + 529/56x^2 + 1019/56x + 15/2 = 0 | x^3 + 529/56x^2 + 1019/56x + 15/2 = 0
(x - -7)(x - -15/8)(x - -4/7) = 0
x - -7 = 0
x - -15/8 = 0
x - -4/7 = 0
x = -7
x = -15/8
x = -4/7 |
Compute the solution of x^2 - 91/20x + 99/20 = 0 | x^2 - 91/20x + 99/20 = 0
(x - 9/5)(x - 11/4) = 0
x - 9/5 = 0 or x - 11/4 = 0
x = 9/5
x = 11/4 |
Solve the system:
5x + 10y = -925/7
6x + 9y = -816/7 | 5x + 10y = -925/7
6x + 9y = -816/7
Using elimination
6*(5x + 10y = -925/7)
5*(6x + 9y = -816/7)
30x + 60y = -5550/7
30x + 45y = -4080/7
Subtract equations
15y = -210
y = -210/15
y = -14
Substitute y
5x + 10(-14) = -925/7
5x = 55/7
x = 55/7/5
x = 11/7 |
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