input stringlengths 13 66 | output stringlengths 30 276 |
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Solve quickly: x^2 - 7x + 6 = 0 | x^2 - 7x + 6 = 0
(x - 1)(x - 6) = 0
x - 1 = 0 or x - 6 = 0
x = 1
x = 6 |
Find the solution to x^3 + 175/18x^2 + 1279/54x + 380/27 = 0 | x^3 + 175/18x^2 + 1279/54x + 380/27 = 0
(x - -19/3)(x - -8/9)(x - -5/2) = 0
x - -19/3 = 0
x - -8/9 = 0
x - -5/2 = 0
x = -19/3
x = -8/9
x = -5/2 |
What value of x satisfies x^3 - 1139/70x^2 + 23/10x + 1144/35 = 0 | x^3 - 1139/70x^2 + 23/10x + 1144/35 = 0
(x - -13/10)(x - 16)(x - 11/7) = 0
x - -13/10 = 0
x - 16 = 0
x - 11/7 = 0
x = -13/10
x = 16
x = 11/7 |
Find x in x^3 + 23/56x^2 - 843/392x - 297/196 = 0 | x^3 + 23/56x^2 - 843/392x - 297/196 = 0
(x - -6/7)(x - -9/8)(x - 11/7) = 0
x - -6/7 = 0
x - -9/8 = 0
x - 11/7 = 0
x = -6/7
x = -9/8
x = 11/7 |
What value of x satisfies 4x + 24 = 0 | 4x + 24 = 0
4x = -24
x = -24 / 4
x = -6 |
Solve x^2 + 77/10x - 171/10 = 0 | x^2 + 77/10x - 171/10 = 0
(x - 9/5)(x - -19/2) = 0
x - 9/5 = 0 or x - -19/2 = 0
x = 9/5
x = -19/2 |
Determine x in x^3 + 12x^2 + 153/4x + 135/4 = 0 | x^3 + 12x^2 + 153/4x + 135/4 = 0
(x - -3/2)(x - -3)(x - -15/2) = 0
x - -3/2 = 0
x - -3 = 0
x - -15/2 = 0
x = -3/2
x = -3
x = -15/2 |
Solve the equations:
10x + 2y = 34/3
10x + 3y = 31/3 | 10x + 2y = 34/3
10x + 3y = 31/3
Using elimination
10*(10x + 2y = 34/3)
10*(10x + 3y = 31/3)
100x + 20y = 340/3
100x + 30y = 310/3
Subtract equations
-10y = 10
y = 10/-10
y = -1
Substitute y
10x + 2(-1) = 34/3
10x = 40/3
x = 40/3/10
x = 4/3 |
Compute the solution of x^3 + 55/3x^2 + 439/9x - 55/3 = 0 | x^3 + 55/3x^2 + 439/9x - 55/3 = 0
(x - -15)(x - 1/3)(x - -11/3) = 0
x - -15 = 0
x - 1/3 = 0
x - -11/3 = 0
x = -15
x = 1/3
x = -11/3 |
Solve the system:
1x + 9y = -3
9x + 1y = 133 | 1x + 9y = -3
9x + 1y = 133
Using elimination
9*(1x + 9y = -3)
1*(9x + 1y = 133)
9x + 81y = -27
9x + 1y = 133
Subtract equations
80y = -160
y = -160/80
y = -2
Substitute y
1x + 9(-2) = -3
1x = 15
x = 15/1
x = 15 |
Compute the solution of x^2 - 72/35x - 128/35 = 0 | x^2 - 72/35x - 128/35 = 0
(x - 16/5)(x - -8/7) = 0
x - 16/5 = 0 or x - -8/7 = 0
x = 16/5
x = -8/7 |
Find x for x^2 - 46/7x + 72/7 = 0 | x^2 - 46/7x + 72/7 = 0
(x - 18/7)(x - 4) = 0
x - 18/7 = 0 or x - 4 = 0
x = 18/7
x = 4 |
Solve simultaneously:
2x + 4y = 534/35
7x + 2y = 729/35 | 2x + 4y = 534/35
7x + 2y = 729/35
Using elimination
7*(2x + 4y = 534/35)
2*(7x + 2y = 729/35)
14x + 28y = 534/5
14x + 4y = 1458/35
Subtract equations
24y = 456/7
y = 456/7/24
y = 19/7
Substitute y
2x + 4(19/7) = 534/35
2x = 22/5
x = 22/5/2
x = 11/5 |
Find x in 3x - 45/4 = 0 | 3x - 45/4 = 0
3x = 45/4
x = 45/4 / 3
x = 15/4 |
What value of x satisfies x^3 + 325/84x^2 + 113/28x + 20/21 = 0 | x^3 + 325/84x^2 + 113/28x + 20/21 = 0
(x - -16/7)(x - -1/3)(x - -5/4) = 0
x - -16/7 = 0
x - -1/3 = 0
x - -5/4 = 0
x = -16/7
x = -1/3
x = -5/4 |
Find x for x^2 - 9/2x - 5/2 = 0 | x^2 - 9/2x - 5/2 = 0
(x - -1/2)(x - 5) = 0
x - -1/2 = 0 or x - 5 = 0
x = -1/2
x = 5 |
Solve quickly: x^2 - 5x + 21/4 = 0 | x^2 - 5x + 21/4 = 0
(x - 7/2)(x - 3/2) = 0
x - 7/2 = 0 or x - 3/2 = 0
x = 7/2
x = 3/2 |
Determine x in 3x + 2/3 = 0 | 3x + 2/3 = 0
3x = -2/3
x = -2/3 / 3
x = -2/9 |
Find x in x^2 + 21/5x + 16/5 = 0 | x^2 + 21/5x + 16/5 = 0
(x - -1)(x - -16/5) = 0
x - -1 = 0 or x - -16/5 = 0
x = -1
x = -16/5 |
Find x in x^3 + 3x^2 + 2x = 0 | x^3 + 3x^2 + 2x = 0
(x - -1)(x - 0)(x - -2) = 0
x - -1 = 0
x - 0 = 0
x - -2 = 0
x = -1
x = 0
x = -2 |
Find x for x^3 - 149/30x^2 + 41/5x - 9/2 = 0 | x^3 - 149/30x^2 + 41/5x - 9/2 = 0
(x - 3/2)(x - 5/3)(x - 9/5) = 0
x - 3/2 = 0
x - 5/3 = 0
x - 9/5 = 0
x = 3/2
x = 5/3
x = 9/5 |
Find the solution to x^3 - 7/8x^2 - 77/32x + 5/16 = 0 | x^3 - 7/8x^2 - 77/32x + 5/16 = 0
(x - 1/8)(x - 2)(x - -5/4) = 0
x - 1/8 = 0
x - 2 = 0
x - -5/4 = 0
x = 1/8
x = 2
x = -5/4 |
Find the solution to 7x + 14/9 = 0 | 7x + 14/9 = 0
7x = -14/9
x = -14/9 / 7
x = -2/9 |
Compute the solution of x^3 + 70/9x^2 + 121/27x - 182/27 = 0 | x^3 + 70/9x^2 + 121/27x - 182/27 = 0
(x - 2/3)(x - -13/9)(x - -7) = 0
x - 2/3 = 0
x - -13/9 = 0
x - -7 = 0
x = 2/3
x = -13/9
x = -7 |
Solve the system:
4x + 1y = -287/30
9x + 2y = -311/15 | 4x + 1y = -287/30
9x + 2y = -311/15
Using elimination
9*(4x + 1y = -287/30)
4*(9x + 2y = -311/15)
36x + 9y = -861/10
36x + 8y = -1244/15
Subtract equations
1y = -19/6
y = -19/6/1
y = -19/6
Substitute y
4x + 1(-19/6) = -287/30
4x = -32/5
x = -32/5/4
x = -8/5 |
Solve the system:
9x + 2y = -31/63
1x + 8y = -439/63 | 9x + 2y = -31/63
1x + 8y = -439/63
Using elimination
1*(9x + 2y = -31/63)
9*(1x + 8y = -439/63)
9x + 2y = -31/63
9x + 72y = -439/7
Subtract equations
-70y = 560/9
y = 560/9/-70
y = -8/9
Substitute y
9x + 2(-8/9) = -31/63
9x = 9/7
x = 9/7/9
x = 1/7 |
Determine x in 3x - 6/5 = 0 | 3x - 6/5 = 0
3x = 6/5
x = 6/5 / 3
x = 2/5 |
Determine x in x^3 + 123/14x^2 + 73/14x - 60/7 = 0 | x^3 + 123/14x^2 + 73/14x - 60/7 = 0
(x - -3/2)(x - 5/7)(x - -8) = 0
x - -3/2 = 0
x - 5/7 = 0
x - -8 = 0
x = -3/2
x = 5/7
x = -8 |
Compute the solution of x^3 + 97/6x^2 - 91/6x - 17 = 0 | x^3 + 97/6x^2 - 91/6x - 17 = 0
(x - 3/2)(x - -17)(x - -2/3) = 0
x - 3/2 = 0
x - -17 = 0
x - -2/3 = 0
x = 3/2
x = -17
x = -2/3 |
Solve simultaneously:
6x + 9y = 5
9x + 3y = -10 | 6x + 9y = 5
9x + 3y = -10
Using elimination
9*(6x + 9y = 5)
6*(9x + 3y = -10)
54x + 81y = 45
54x + 18y = -60
Subtract equations
63y = 105
y = 105/63
y = 5/3
Substitute y
6x + 9(5/3) = 5
6x = -10
x = -10/6
x = -5/3 |
Compute the solution of x^2 + 8x + 16 = 0 | x^2 + 8x + 16 = 0
(x - -4)(x - -4) = 0
x - -4 = 0 or x - -4 = 0
x = -4
x = -4 |
Solve quickly: x^3 - 21/4x^2 + 67/8x - 33/8 = 0 | x^3 - 21/4x^2 + 67/8x - 33/8 = 0
(x - 1)(x - 11/4)(x - 3/2) = 0
x - 1 = 0
x - 11/4 = 0
x - 3/2 = 0
x = 1
x = 11/4
x = 3/2 |
Find the solution to x^2 + 83/8x - 39/2 = 0 | x^2 + 83/8x - 39/2 = 0
(x - 13/8)(x - -12) = 0
x - 13/8 = 0 or x - -12 = 0
x = 13/8
x = -12 |
Find x in 6x - 21 = 0 | 6x - 21 = 0
6x = 21
x = 21 / 6
x = 7/2 |
Find x for x^3 - 49/6x^2 - 15/2x + 119/3 = 0 | x^3 - 49/6x^2 - 15/2x + 119/3 = 0
(x - -7/3)(x - 17/2)(x - 2) = 0
x - -7/3 = 0
x - 17/2 = 0
x - 2 = 0
x = -7/3
x = 17/2
x = 2 |
Solve the system:
9x + 9y = -18
8x + 2y = -28 | 9x + 9y = -18
8x + 2y = -28
Using elimination
8*(9x + 9y = -18)
9*(8x + 2y = -28)
72x + 72y = -144
72x + 18y = -252
Subtract equations
54y = 108
y = 108/54
y = 2
Substitute y
9x + 9(2) = -18
9x = -36
x = -36/9
x = -4 |
Find the solution to 5x - 90 = 0 | 5x - 90 = 0
5x = 90
x = 90 / 5
x = 18 |
What value of x satisfies x^3 - 7/2x^2 + 179/64x + 13/32 = 0 | x^3 - 7/2x^2 + 179/64x + 13/32 = 0
(x - -1/8)(x - 2)(x - 13/8) = 0
x - -1/8 = 0
x - 2 = 0
x - 13/8 = 0
x = -1/8
x = 2
x = 13/8 |
Find x in x^3 + 89/6x^2 + 149/3x - 40 = 0 | x^3 + 89/6x^2 + 149/3x - 40 = 0
(x - -15/2)(x - -8)(x - 2/3) = 0
x - -15/2 = 0
x - -8 = 0
x - 2/3 = 0
x = -15/2
x = -8
x = 2/3 |
Find the solution to x^3 - 151/90x^2 - 641/54x - 1309/135 = 0 | x^3 - 151/90x^2 - 641/54x - 1309/135 = 0
(x - 14/3)(x - -17/9)(x - -11/10) = 0
x - 14/3 = 0
x - -17/9 = 0
x - -11/10 = 0
x = 14/3
x = -17/9
x = -11/10 |
Find x in x^3 + 4/3x^2 - 25/9x - 28/27 = 0 | x^3 + 4/3x^2 - 25/9x - 28/27 = 0
(x - -7/3)(x - 4/3)(x - -1/3) = 0
x - -7/3 = 0
x - 4/3 = 0
x - -1/3 = 0
x = -7/3
x = 4/3
x = -1/3 |
Compute the solution of x^3 - 23/3x^2 - 200/9x - 100/9 = 0 | x^3 - 23/3x^2 - 200/9x - 100/9 = 0
(x - -5/3)(x - -2/3)(x - 10) = 0
x - -5/3 = 0
x - -2/3 = 0
x - 10 = 0
x = -5/3
x = -2/3
x = 10 |
Solve the equation x^2 + 101/45x + 52/45 = 0 | x^2 + 101/45x + 52/45 = 0
(x - -4/5)(x - -13/9) = 0
x - -4/5 = 0 or x - -13/9 = 0
x = -4/5
x = -13/9 |
What value of x satisfies x^3 + 91/5x^2 + 462/5x + 432/5 = 0 | x^3 + 91/5x^2 + 462/5x + 432/5 = 0
(x - -9)(x - -6/5)(x - -8) = 0
x - -9 = 0
x - -6/5 = 0
x - -8 = 0
x = -9
x = -6/5
x = -8 |
Solve x^2 - 7/10x - 13/5 = 0 | x^2 - 7/10x - 13/5 = 0
(x - 2)(x - -13/10) = 0
x - 2 = 0 or x - -13/10 = 0
x = 2
x = -13/10 |
Find x and y such that
10x + 4y = 16
4x + 6y = 13 | 10x + 4y = 16
4x + 6y = 13
Using elimination
4*(10x + 4y = 16)
10*(4x + 6y = 13)
40x + 16y = 64
40x + 60y = 130
Subtract equations
-44y = -66
y = -66/-44
y = 3/2
Substitute y
10x + 4(3/2) = 16
10x = 10
x = 10/10
x = 1 |
Compute the solution of x^2 + 7/6x - 1/2 = 0 | x^2 + 7/6x - 1/2 = 0
(x - -3/2)(x - 1/3) = 0
x - -3/2 = 0 or x - 1/3 = 0
x = -3/2
x = 1/3 |
What value of x satisfies x^2 - 5/2x - 25/2 = 0 | x^2 - 5/2x - 25/2 = 0
(x - 5)(x - -5/2) = 0
x - 5 = 0 or x - -5/2 = 0
x = 5
x = -5/2 |
Compute the solution of x^2 + 62/35x - 32/7 = 0 | x^2 + 62/35x - 32/7 = 0
(x - 10/7)(x - -16/5) = 0
x - 10/7 = 0 or x - -16/5 = 0
x = 10/7
x = -16/5 |
What value of x satisfies x^2 - 16 = 0 | x^2 - 16 = 0
(x - -4)(x - 4) = 0
x - -4 = 0 or x - 4 = 0
x = -4
x = 4 |
Find x and y such that
6x + 3y = -111/4
9x + 8y = -25 | 6x + 3y = -111/4
9x + 8y = -25
Using elimination
9*(6x + 3y = -111/4)
6*(9x + 8y = -25)
54x + 27y = -999/4
54x + 48y = -150
Subtract equations
-21y = -399/4
y = -399/4/-21
y = 19/4
Substitute y
6x + 3(19/4) = -111/4
6x = -42
x = -42/6
x = -7 |
What value of x satisfies x^3 + 47/5x^2 + 2/5x - 144/5 = 0 | x^3 + 47/5x^2 + 2/5x - 144/5 = 0
(x - -9)(x - 8/5)(x - -2) = 0
x - -9 = 0
x - 8/5 = 0
x - -2 = 0
x = -9
x = 8/5
x = -2 |
Solve the equation 4x + 5 = 0 | 4x + 5 = 0
4x = -5
x = -5 / 4
x = -5/4 |
Solve x^2 - 7/4x + 5/8 = 0 | x^2 - 7/4x + 5/8 = 0
(x - 5/4)(x - 1/2) = 0
x - 5/4 = 0 or x - 1/2 = 0
x = 5/4
x = 1/2 |
Find x for 2x - 10/3 = 0 | 2x - 10/3 = 0
2x = 10/3
x = 10/3 / 2
x = 5/3 |
Find the solution to x^3 - 5/6x^2 - 46x - 30 = 0 | x^3 - 5/6x^2 - 46x - 30 = 0
(x - -6)(x - 15/2)(x - -2/3) = 0
x - -6 = 0
x - 15/2 = 0
x - -2/3 = 0
x = -6
x = 15/2
x = -2/3 |
Find the solution to x^2 + 5/3x = 0 | x^2 + 5/3x = 0
(x - 0)(x - -5/3) = 0
x - 0 = 0 or x - -5/3 = 0
x = 0
x = -5/3 |
Determine x in x^3 - 61/8x^2 - 67/8x + 255/32 = 0 | x^3 - 61/8x^2 - 67/8x + 255/32 = 0
(x - -3/2)(x - 5/8)(x - 17/2) = 0
x - -3/2 = 0
x - 5/8 = 0
x - 17/2 = 0
x = -3/2
x = 5/8
x = 17/2 |
Find x in x^2 - 23x + 90 = 0 | x^2 - 23x + 90 = 0
(x - 18)(x - 5) = 0
x - 18 = 0 or x - 5 = 0
x = 18
x = 5 |
Find the solution to x^2 - 99/5x + 238/5 = 0 | x^2 - 99/5x + 238/5 = 0
(x - 14/5)(x - 17) = 0
x - 14/5 = 0 or x - 17 = 0
x = 14/5
x = 17 |
Solve x^2 + 97/40x + 13/10 = 0 | x^2 + 97/40x + 13/10 = 0
(x - -4/5)(x - -13/8) = 0
x - -4/5 = 0 or x - -13/8 = 0
x = -4/5
x = -13/8 |
Solve simultaneously:
5x + 3y = 119/12
6x + 7y = 17/4 | 5x + 3y = 119/12
6x + 7y = 17/4
Using elimination
6*(5x + 3y = 119/12)
5*(6x + 7y = 17/4)
30x + 18y = 119/2
30x + 35y = 85/4
Subtract equations
-17y = 153/4
y = 153/4/-17
y = -9/4
Substitute y
5x + 3(-9/4) = 119/12
5x = 50/3
x = 50/3/5
x = 10/3 |
Compute the solution of x^3 + 131/40x^2 + 69/20x + 189/160 = 0 | x^3 + 131/40x^2 + 69/20x + 189/160 = 0
(x - -7/8)(x - -9/10)(x - -3/2) = 0
x - -7/8 = 0
x - -9/10 = 0
x - -3/2 = 0
x = -7/8
x = -9/10
x = -3/2 |
What value of x satisfies x^2 - 25/6x + 25/9 = 0 | x^2 - 25/6x + 25/9 = 0
(x - 10/3)(x - 5/6) = 0
x - 10/3 = 0 or x - 5/6 = 0
x = 10/3
x = 5/6 |
What value of x satisfies x^3 - 87/28x^2 + 723/448x + 19/64 = 0 | x^3 - 87/28x^2 + 723/448x + 19/64 = 0
(x - 7/8)(x - -1/7)(x - 19/8) = 0
x - 7/8 = 0
x - -1/7 = 0
x - 19/8 = 0
x = 7/8
x = -1/7
x = 19/8 |
Determine x in x^2 + 63/40x + 9/20 = 0 | x^2 + 63/40x + 9/20 = 0
(x - -6/5)(x - -3/8) = 0
x - -6/5 = 0 or x - -3/8 = 0
x = -6/5
x = -3/8 |
Find x in 5x + 45 = 0 | 5x + 45 = 0
5x = -45
x = -45 / 5
x = -9 |
Find x for 10x = 0 | 10x = 0
10x = 0
x = 0 / 10
x = 0 |
Find the solution to x^3 - 599/45x^2 + 718/45x - 8/3 = 0 | x^3 - 599/45x^2 + 718/45x - 8/3 = 0
(x - 12)(x - 10/9)(x - 1/5) = 0
x - 12 = 0
x - 10/9 = 0
x - 1/5 = 0
x = 12
x = 10/9
x = 1/5 |
Compute the solution of x^2 + 179/90x + 17/90 = 0 | x^2 + 179/90x + 17/90 = 0
(x - -1/10)(x - -17/9) = 0
x - -1/10 = 0 or x - -17/9 = 0
x = -1/10
x = -17/9 |
Solve quickly: x^3 + 11/7x^2 - 100/7x + 100/7 = 0 | x^3 + 11/7x^2 - 100/7x + 100/7 = 0
(x - 2)(x - 10/7)(x - -5) = 0
x - 2 = 0
x - 10/7 = 0
x - -5 = 0
x = 2
x = 10/7
x = -5 |
Solve x^3 + 203/30x^2 + 107/10x + 21/5 = 0 | x^3 + 203/30x^2 + 107/10x + 21/5 = 0
(x - -3/2)(x - -3/5)(x - -14/3) = 0
x - -3/2 = 0
x - -3/5 = 0
x - -14/3 = 0
x = -3/2
x = -3/5
x = -14/3 |
Solve quickly: x^2 + 2/21x - 55/21 = 0 | x^2 + 2/21x - 55/21 = 0
(x - -5/3)(x - 11/7) = 0
x - -5/3 = 0 or x - 11/7 = 0
x = -5/3
x = 11/7 |
Find x for x^3 - 109/24x^2 - 313/24x - 15/2 = 0 | x^3 - 109/24x^2 - 313/24x - 15/2 = 0
(x - 20/3)(x - -1)(x - -9/8) = 0
x - 20/3 = 0
x - -1 = 0
x - -9/8 = 0
x = 20/3
x = -1
x = -9/8 |
Find x for x^2 - 13/10x - 169/50 = 0 | x^2 - 13/10x - 169/50 = 0
(x - 13/5)(x - -13/10) = 0
x - 13/5 = 0 or x - -13/10 = 0
x = 13/5
x = -13/10 |
Find x in x^2 - 43/2x + 30 = 0 | x^2 - 43/2x + 30 = 0
(x - 3/2)(x - 20) = 0
x - 3/2 = 0 or x - 20 = 0
x = 3/2
x = 20 |
Find x in x^3 + 55/12x^2 + 13/4x - 9/2 = 0 | x^3 + 55/12x^2 + 13/4x - 9/2 = 0
(x - -3)(x - 2/3)(x - -9/4) = 0
x - -3 = 0
x - 2/3 = 0
x - -9/4 = 0
x = -3
x = 2/3
x = -9/4 |
Solve the system:
7x + 7y = 63/4
10x + 8y = 41/2 | 7x + 7y = 63/4
10x + 8y = 41/2
Using elimination
10*(7x + 7y = 63/4)
7*(10x + 8y = 41/2)
70x + 70y = 315/2
70x + 56y = 287/2
Subtract equations
14y = 14
y = 14/14
y = 1
Substitute y
7x + 7(1) = 63/4
7x = 35/4
x = 35/4/7
x = 5/4 |
Compute the solution of x^2 - 16/21x + 1/7 = 0 | x^2 - 16/21x + 1/7 = 0
(x - 3/7)(x - 1/3) = 0
x - 3/7 = 0 or x - 1/3 = 0
x = 3/7
x = 1/3 |
Find x in x^3 - 7/6x^2 - 493/18x + 578/9 = 0 | x^3 - 7/6x^2 - 493/18x + 578/9 = 0
(x - -17/3)(x - 17/6)(x - 4) = 0
x - -17/3 = 0
x - 17/6 = 0
x - 4 = 0
x = -17/3
x = 17/6
x = 4 |
Solve quickly: x^3 + 295/36x^2 - 1/4x - 130/9 = 0 | x^3 + 295/36x^2 - 1/4x - 130/9 = 0
(x - 5/4)(x - -13/9)(x - -8) = 0
x - 5/4 = 0
x - -13/9 = 0
x - -8 = 0
x = 5/4
x = -13/9
x = -8 |
Find x in x^3 + 1/2x^2 - 27x + 36 = 0 | x^3 + 1/2x^2 - 27x + 36 = 0
(x - -6)(x - 3/2)(x - 4) = 0
x - -6 = 0
x - 3/2 = 0
x - 4 = 0
x = -6
x = 3/2
x = 4 |
Determine x in 6x + 96 = 0 | 6x + 96 = 0
6x = -96
x = -96 / 6
x = -16 |
Solve the equation x^3 + 11/4x^2 + 43/18x + 2/3 = 0 | x^3 + 11/4x^2 + 43/18x + 2/3 = 0
(x - -2/3)(x - -4/3)(x - -3/4) = 0
x - -2/3 = 0
x - -4/3 = 0
x - -3/4 = 0
x = -2/3
x = -4/3
x = -3/4 |
Solve the equation 1x - 5/2 = 0 | 1x - 5/2 = 0
1x = 5/2
x = 5/2 / 1
x = 5/2 |
Compute the solution of x^3 - 1252/105x^2 + 1581/35x - 1156/21 = 0 | x^3 - 1252/105x^2 + 1581/35x - 1156/21 = 0
(x - 17/3)(x - 17/5)(x - 20/7) = 0
x - 17/3 = 0
x - 17/5 = 0
x - 20/7 = 0
x = 17/3
x = 17/5
x = 20/7 |
Compute the solution of x^2 + 7/4x - 57/4 = 0 | x^2 + 7/4x - 57/4 = 0
(x - -19/4)(x - 3) = 0
x - -19/4 = 0 or x - 3 = 0
x = -19/4
x = 3 |
Find x for 6x + 30 = 0 | 6x + 30 = 0
6x = -30
x = -30 / 6
x = -5 |
Solve quickly: 5x + 80/7 = 0 | 5x + 80/7 = 0
5x = -80/7
x = -80/7 / 5
x = -16/7 |
Find the solution to x^3 - 65/6x^2 - 27x - 91/6 = 0 | x^3 - 65/6x^2 - 27x - 91/6 = 0
(x - 13)(x - -1)(x - -7/6) = 0
x - 13 = 0
x - -1 = 0
x - -7/6 = 0
x = 13
x = -1
x = -7/6 |
Determine x in x^3 - 167/15x^2 + 122/5x + 16/3 = 0 | x^3 - 167/15x^2 + 122/5x + 16/3 = 0
(x - 10/3)(x - 8)(x - -1/5) = 0
x - 10/3 = 0
x - 8 = 0
x - -1/5 = 0
x = 10/3
x = 8
x = -1/5 |
What value of x satisfies 1x + 4/9 = 0 | 1x + 4/9 = 0
1x = -4/9
x = -4/9 / 1
x = -4/9 |
Solve quickly: x^2 - 9/8x + 1/8 = 0 | x^2 - 9/8x + 1/8 = 0
(x - 1/8)(x - 1) = 0
x - 1/8 = 0 or x - 1 = 0
x = 1/8
x = 1 |
Solve x^3 + 67/72x^2 + 61/216x + 1/36 = 0 | x^3 + 67/72x^2 + 61/216x + 1/36 = 0
(x - -3/8)(x - -1/3)(x - -2/9) = 0
x - -3/8 = 0
x - -1/3 = 0
x - -2/9 = 0
x = -3/8
x = -1/3
x = -2/9 |
Find x for x^3 + 7/2x^2 - 9/2x = 0 | x^3 + 7/2x^2 - 9/2x = 0
(x - -9/2)(x - 1)(x - 0) = 0
x - -9/2 = 0
x - 1 = 0
x - 0 = 0
x = -9/2
x = 1
x = 0 |
Solve the equations:
10x + 4y = -2/7
8x + 7y = 183/14 | 10x + 4y = -2/7
8x + 7y = 183/14
Using elimination
8*(10x + 4y = -2/7)
10*(8x + 7y = 183/14)
80x + 32y = -16/7
80x + 70y = 915/7
Subtract equations
-38y = -133
y = -133/-38
y = 7/2
Substitute y
10x + 4(7/2) = -2/7
10x = -100/7
x = -100/7/10
x = -10/7 |
Solve the equations:
9x + 6y = 3
7x + 1y = -4/3 | 9x + 6y = 3
7x + 1y = -4/3
Using elimination
7*(9x + 6y = 3)
9*(7x + 1y = -4/3)
63x + 42y = 21
63x + 9y = -12
Subtract equations
33y = 33
y = 33/33
y = 1
Substitute y
9x + 6(1) = 3
9x = -3
x = -3/9
x = -1/3 |
Find x in x^2 - 209/30x + 361/30 = 0 | x^2 - 209/30x + 361/30 = 0
(x - 19/6)(x - 19/5) = 0
x - 19/6 = 0 or x - 19/5 = 0
x = 19/6
x = 19/5 |
Find x in x^3 - 267/28x^2 - 1177/28x - 39 = 0 | x^3 - 267/28x^2 - 1177/28x - 39 = 0
(x - -7/4)(x - 13)(x - -12/7) = 0
x - -7/4 = 0
x - 13 = 0
x - -12/7 = 0
x = -7/4
x = 13
x = -12/7 |
Solve quickly: x^3 + 11/5x^2 - 137/25x + 57/25 = 0 | x^3 + 11/5x^2 - 137/25x + 57/25 = 0
(x - 3/5)(x - 1)(x - -19/5) = 0
x - 3/5 = 0
x - 1 = 0
x - -19/5 = 0
x = 3/5
x = 1
x = -19/5 |
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