input stringlengths 13 66 | output stringlengths 30 276 |
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Find x for x^2 - 63/10x + 22/5 = 0 | x^2 - 63/10x + 22/5 = 0
(x - 11/2)(x - 4/5) = 0
x - 11/2 = 0 or x - 4/5 = 0
x = 11/2
x = 4/5 |
Find the solution to x^2 - 7x + 104/9 = 0 | x^2 - 7x + 104/9 = 0
(x - 8/3)(x - 13/3) = 0
x - 8/3 = 0 or x - 13/3 = 0
x = 8/3
x = 13/3 |
Solve the equations:
8x + 3y = 24
2x + 3y = 51/4 | 8x + 3y = 24
2x + 3y = 51/4
Using elimination
2*(8x + 3y = 24)
8*(2x + 3y = 51/4)
16x + 6y = 48
16x + 24y = 102
Subtract equations
-18y = -54
y = -54/-18
y = 3
Substitute y
8x + 3(3) = 24
8x = 15
x = 15/8
x = 15/8 |
Solve the equations:
4x + 8y = 299/2
5x + 8y = 1191/8 | 4x + 8y = 299/2
5x + 8y = 1191/8
Using elimination
5*(4x + 8y = 299/2)
4*(5x + 8y = 1191/8)
20x + 40y = 1495/2
20x + 32y = 1191/2
Subtract equations
8y = 152
y = 152/8
y = 19
Substitute y
4x + 8(19) = 299/2
4x = -5/2
x = -5/2/4
x = -5/8 |
Solve x^3 - 35/6x^2 - 11x + 455/6 = 0 | x^3 - 35/6x^2 - 11x + 455/6 = 0
(x - -7/2)(x - 5)(x - 13/3) = 0
x - -7/2 = 0
x - 5 = 0
x - 13/3 = 0
x = -7/2
x = 5
x = 13/3 |
Solve the equation x^3 + 261/56x^2 + 801/112x + 405/112 = 0 | x^3 + 261/56x^2 + 801/112x + 405/112 = 0
(x - -15/8)(x - -9/7)(x - -3/2) = 0
x - -15/8 = 0
x - -9/7 = 0
x - -3/2 = 0
x = -15/8
x = -9/7
x = -3/2 |
What value of x satisfies 9x - 36 = 0 | 9x - 36 = 0
9x = 36
x = 36 / 9
x = 4 |
Find x in 2x = 0 | 2x = 0
2x = 0
x = 0 / 2
x = 0 |
Solve simultaneously:
10x + 5y = -35/3
10x + 4y = -37/3 | 10x + 5y = -35/3
10x + 4y = -37/3
Using elimination
10*(10x + 5y = -35/3)
10*(10x + 4y = -37/3)
100x + 50y = -350/3
100x + 40y = -370/3
Subtract equations
10y = 20/3
y = 20/3/10
y = 2/3
Substitute y
10x + 5(2/3) = -35/3
10x = -15
x = -15/10
x = -3/2 |
Solve x^2 + 4x - 64/9 = 0 | x^2 + 4x - 64/9 = 0
(x - -16/3)(x - 4/3) = 0
x - -16/3 = 0 or x - 4/3 = 0
x = -16/3
x = 4/3 |
What value of x satisfies x^2 - 27x + 182 = 0 | x^2 - 27x + 182 = 0
(x - 14)(x - 13) = 0
x - 14 = 0 or x - 13 = 0
x = 14
x = 13 |
Solve simultaneously:
4x + 8y = 34
10x + 4y = 31/3 | 4x + 8y = 34
10x + 4y = 31/3
Using elimination
10*(4x + 8y = 34)
4*(10x + 4y = 31/3)
40x + 80y = 340
40x + 16y = 124/3
Subtract equations
64y = 896/3
y = 896/3/64
y = 14/3
Substitute y
4x + 8(14/3) = 34
4x = -10/3
x = -10/3/4
x = -5/6 |
Solve the system:
4x + 4y = 8
2x + 1y = 3 | 4x + 4y = 8
2x + 1y = 3
Using elimination
2*(4x + 4y = 8)
4*(2x + 1y = 3)
8x + 8y = 16
8x + 4y = 12
Subtract equations
4y = 4
y = 4/4
y = 1
Substitute y
4x + 4(1) = 8
4x = 4
x = 4/4
x = 1 |
Solve 7x - 133/9 = 0 | 7x - 133/9 = 0
7x = 133/9
x = 133/9 / 7
x = 19/9 |
Solve x^3 + 181/42x^2 + 347/126x - 85/21 = 0 | x^3 + 181/42x^2 + 347/126x - 85/21 = 0
(x - 2/3)(x - -17/6)(x - -15/7) = 0
x - 2/3 = 0
x - -17/6 = 0
x - -15/7 = 0
x = 2/3
x = -17/6
x = -15/7 |
Find x for x^3 - 23/30x^2 - 733/150x - 12/25 = 0 | x^3 - 23/30x^2 - 733/150x - 12/25 = 0
(x - -9/5)(x - -1/10)(x - 8/3) = 0
x - -9/5 = 0
x - -1/10 = 0
x - 8/3 = 0
x = -9/5
x = -1/10
x = 8/3 |
Find the solution to x^3 + 14/5x^2 - 8/45x - 64/45 = 0 | x^3 + 14/5x^2 - 8/45x - 64/45 = 0
(x - 2/3)(x - -4/5)(x - -8/3) = 0
x - 2/3 = 0
x - -4/5 = 0
x - -8/3 = 0
x = 2/3
x = -4/5
x = -8/3 |
Find x in x^2 - 7/2x - 15/2 = 0 | x^2 - 7/2x - 15/2 = 0
(x - 5)(x - -3/2) = 0
x - 5 = 0 or x - -3/2 = 0
x = 5
x = -3/2 |
Compute the solution of x^3 + 5/8x^2 - 51/32x - 27/64 = 0 | x^3 + 5/8x^2 - 51/32x - 27/64 = 0
(x - 9/8)(x - -1/4)(x - -3/2) = 0
x - 9/8 = 0
x - -1/4 = 0
x - -3/2 = 0
x = 9/8
x = -1/4
x = -3/2 |
Solve simultaneously:
1x + 9y = -102/7
5x + 3y = 162/7 | 1x + 9y = -102/7
5x + 3y = 162/7
Using elimination
5*(1x + 9y = -102/7)
1*(5x + 3y = 162/7)
5x + 45y = -510/7
5x + 3y = 162/7
Subtract equations
42y = -96
y = -96/42
y = -16/7
Substitute y
1x + 9(-16/7) = -102/7
1x = 6
x = 6/1
x = 6 |
Find the solution to 4x - 32/3 = 0 | 4x - 32/3 = 0
4x = 32/3
x = 32/3 / 4
x = 8/3 |
Compute the solution of 10x = 0 | 10x = 0
10x = 0
x = 0 / 10
x = 0 |
Determine x in x^3 - 14/3x^2 - 5x + 50/3 = 0 | x^3 - 14/3x^2 - 5x + 50/3 = 0
(x - 5)(x - 5/3)(x - -2) = 0
x - 5 = 0
x - 5/3 = 0
x - -2 = 0
x = 5
x = 5/3
x = -2 |
What value of x satisfies x^3 + 56/15x^2 - 63/5x + 6 = 0 | x^3 + 56/15x^2 - 63/5x + 6 = 0
(x - -6)(x - 3/5)(x - 5/3) = 0
x - -6 = 0
x - 3/5 = 0
x - 5/3 = 0
x = -6
x = 3/5
x = 5/3 |
Solve the equation x^2 - 23/10x + 33/25 = 0 | x^2 - 23/10x + 33/25 = 0
(x - 6/5)(x - 11/10) = 0
x - 6/5 = 0 or x - 11/10 = 0
x = 6/5
x = 11/10 |
Compute the solution of 9x + 90/7 = 0 | 9x + 90/7 = 0
9x = -90/7
x = -90/7 / 9
x = -10/7 |
Compute the solution of 5x - 35 = 0 | 5x - 35 = 0
5x = 35
x = 35 / 5
x = 7 |
Find x in x^3 + 553/24x^2 + 1273/16x + 2527/48 = 0 | x^3 + 553/24x^2 + 1273/16x + 2527/48 = 0
(x - -19)(x - -19/6)(x - -7/8) = 0
x - -19 = 0
x - -19/6 = 0
x - -7/8 = 0
x = -19
x = -19/6
x = -7/8 |
Solve 1x - 3/10 = 0 | 1x - 3/10 = 0
1x = 3/10
x = 3/10 / 1
x = 3/10 |
Solve quickly: x^3 - 79/4x^2 + 223/2x - 140 = 0 | x^3 - 79/4x^2 + 223/2x - 140 = 0
(x - 7/4)(x - 10)(x - 8) = 0
x - 7/4 = 0
x - 10 = 0
x - 8 = 0
x = 7/4
x = 10
x = 8 |
Find x in x^3 - 619/210x^2 + 79/42x + 2/5 = 0 | x^3 - 619/210x^2 + 79/42x + 2/5 = 0
(x - 7/5)(x - -1/6)(x - 12/7) = 0
x - 7/5 = 0
x - -1/6 = 0
x - 12/7 = 0
x = 7/5
x = -1/6
x = 12/7 |
Find x and y such that
8x + 8y = 168
6x + 10y = 134 | 8x + 8y = 168
6x + 10y = 134
Using elimination
6*(8x + 8y = 168)
8*(6x + 10y = 134)
48x + 48y = 1008
48x + 80y = 1072
Subtract equations
-32y = -64
y = -64/-32
y = 2
Substitute y
8x + 8(2) = 168
8x = 152
x = 152/8
x = 19 |
Find x for 10x + 40 = 0 | 10x + 40 = 0
10x = -40
x = -40 / 10
x = -4 |
Solve the equation 9x + 153/4 = 0 | 9x + 153/4 = 0
9x = -153/4
x = -153/4 / 9
x = -17/4 |
What value of x satisfies 9x + 27/8 = 0 | 9x + 27/8 = 0
9x = -27/8
x = -27/8 / 9
x = -3/8 |
Find the solution to x^3 + 245/24x^2 + 679/24x + 95/4 = 0 | x^3 + 245/24x^2 + 679/24x + 95/4 = 0
(x - -19/3)(x - -2)(x - -15/8) = 0
x - -19/3 = 0
x - -2 = 0
x - -15/8 = 0
x = -19/3
x = -2
x = -15/8 |
Solve the equation x^3 - 53/252x^2 - 131/126x + 10/21 = 0 | x^3 - 53/252x^2 - 131/126x + 10/21 = 0
(x - 4/7)(x - 3/4)(x - -10/9) = 0
x - 4/7 = 0
x - 3/4 = 0
x - -10/9 = 0
x = 4/7
x = 3/4
x = -10/9 |
Solve the equations:
4x + 10y = 108/5
10x + 9y = 22 | 4x + 10y = 108/5
10x + 9y = 22
Using elimination
10*(4x + 10y = 108/5)
4*(10x + 9y = 22)
40x + 100y = 216
40x + 36y = 88
Subtract equations
64y = 128
y = 128/64
y = 2
Substitute y
4x + 10(2) = 108/5
4x = 8/5
x = 8/5/4
x = 2/5 |
What value of x satisfies x^2 + 123/35x + 108/35 = 0 | x^2 + 123/35x + 108/35 = 0
(x - -12/7)(x - -9/5) = 0
x - -12/7 = 0 or x - -9/5 = 0
x = -12/7
x = -9/5 |
Solve simultaneously:
3x + 1y = 15/2
5x + 4y = -5 | 3x + 1y = 15/2
5x + 4y = -5
Using elimination
5*(3x + 1y = 15/2)
3*(5x + 4y = -5)
15x + 5y = 75/2
15x + 12y = -15
Subtract equations
-7y = 105/2
y = 105/2/-7
y = -15/2
Substitute y
3x + 1(-15/2) = 15/2
3x = 15
x = 15/3
x = 5 |
Compute the solution of 8x - 64/5 = 0 | 8x - 64/5 = 0
8x = 64/5
x = 64/5 / 8
x = 8/5 |
Solve quickly: x^3 + 224/15x^2 - 263/15x - 112/15 = 0 | x^3 + 224/15x^2 - 263/15x - 112/15 = 0
(x - 7/5)(x - -1/3)(x - -16) = 0
x - 7/5 = 0
x - -1/3 = 0
x - -16 = 0
x = 7/5
x = -1/3
x = -16 |
Find x in x^3 - 34/9x^2 - 25/3x + 100/9 = 0 | x^3 - 34/9x^2 - 25/3x + 100/9 = 0
(x - -20/9)(x - 5)(x - 1) = 0
x - -20/9 = 0
x - 5 = 0
x - 1 = 0
x = -20/9
x = 5
x = 1 |
Solve the system:
2x + 10y = 10
8x + 7y = 499/10 | 2x + 10y = 10
8x + 7y = 499/10
Using elimination
8*(2x + 10y = 10)
2*(8x + 7y = 499/10)
16x + 80y = 80
16x + 14y = 499/5
Subtract equations
66y = -99/5
y = -99/5/66
y = -3/10
Substitute y
2x + 10(-3/10) = 10
2x = 13
x = 13/2
x = 13/2 |
Solve x^3 - 23/4x^2 + 9/2x + 45/4 = 0 | x^3 - 23/4x^2 + 9/2x + 45/4 = 0
(x - -1)(x - 15/4)(x - 3) = 0
x - -1 = 0
x - 15/4 = 0
x - 3 = 0
x = -1
x = 15/4
x = 3 |
Solve 5x + 55/3 = 0 | 5x + 55/3 = 0
5x = -55/3
x = -55/3 / 5
x = -11/3 |
Find the solution to x^2 - 7/2x - 15/2 = 0 | x^2 - 7/2x - 15/2 = 0
(x - -3/2)(x - 5) = 0
x - -3/2 = 0 or x - 5 = 0
x = -3/2
x = 5 |
Solve 4x + 76/7 = 0 | 4x + 76/7 = 0
4x = -76/7
x = -76/7 / 4
x = -19/7 |
Find the solution to 10x - 90/7 = 0 | 10x - 90/7 = 0
10x = 90/7
x = 90/7 / 10
x = 9/7 |
Find x for x^2 + 11/3x + 19/12 = 0 | x^2 + 11/3x + 19/12 = 0
(x - -1/2)(x - -19/6) = 0
x - -1/2 = 0 or x - -19/6 = 0
x = -1/2
x = -19/6 |
Find the solution to 10x + 70/3 = 0 | 10x + 70/3 = 0
10x = -70/3
x = -70/3 / 10
x = -7/3 |
Determine x in x^3 + 5/72x^2 - 29/48x - 7/36 = 0 | x^3 + 5/72x^2 - 29/48x - 7/36 = 0
(x - -1/2)(x - 7/8)(x - -4/9) = 0
x - -1/2 = 0
x - 7/8 = 0
x - -4/9 = 0
x = -1/2
x = 7/8
x = -4/9 |
Find x in x^3 + 767/280x^2 + 219/280x - 117/70 = 0 | x^3 + 767/280x^2 + 219/280x - 117/70 = 0
(x - -13/8)(x - 3/5)(x - -12/7) = 0
x - -13/8 = 0
x - 3/5 = 0
x - -12/7 = 0
x = -13/8
x = 3/5
x = -12/7 |
Solve the equation 2x + 12 = 0 | 2x + 12 = 0
2x = -12
x = -12 / 2
x = -6 |
Solve the system:
3x + 2y = -47/4
8x + 8y = -34 | 3x + 2y = -47/4
8x + 8y = -34
Using elimination
8*(3x + 2y = -47/4)
3*(8x + 8y = -34)
24x + 16y = -94
24x + 24y = -102
Subtract equations
-8y = 8
y = 8/-8
y = -1
Substitute y
3x + 2(-1) = -47/4
3x = -39/4
x = -39/4/3
x = -13/4 |
Solve the equation x^2 + 164/9x - 320/9 = 0 | x^2 + 164/9x - 320/9 = 0
(x - -20)(x - 16/9) = 0
x - -20 = 0 or x - 16/9 = 0
x = -20
x = 16/9 |
Solve the equation 7x - 126/5 = 0 | 7x - 126/5 = 0
7x = 126/5
x = 126/5 / 7
x = 18/5 |
Solve the equation 7x - 7 = 0 | 7x - 7 = 0
7x = 7
x = 7 / 7
x = 1 |
Find x for 3x + 57/7 = 0 | 3x + 57/7 = 0
3x = -57/7
x = -57/7 / 3
x = -19/7 |
Determine x in 5x + 25/6 = 0 | 5x + 25/6 = 0
5x = -25/6
x = -25/6 / 5
x = -5/6 |
Solve simultaneously:
7x + 10y = 61/2
2x + 5y = 409/28 | 7x + 10y = 61/2
2x + 5y = 409/28
Using elimination
2*(7x + 10y = 61/2)
7*(2x + 5y = 409/28)
14x + 20y = 61
14x + 35y = 409/4
Subtract equations
-15y = -165/4
y = -165/4/-15
y = 11/4
Substitute y
7x + 10(11/4) = 61/2
7x = 3
x = 3/7
x = 3/7 |
Solve quickly: x^2 + 37/4x + 85/4 = 0 | x^2 + 37/4x + 85/4 = 0
(x - -5)(x - -17/4) = 0
x - -5 = 0 or x - -17/4 = 0
x = -5
x = -17/4 |
Solve the equations:
2x + 9y = -141/28
8x + 7y = -16 | 2x + 9y = -141/28
8x + 7y = -16
Using elimination
8*(2x + 9y = -141/28)
2*(8x + 7y = -16)
16x + 72y = -282/7
16x + 14y = -32
Subtract equations
58y = -58/7
y = -58/7/58
y = -1/7
Substitute y
2x + 9(-1/7) = -141/28
2x = -15/4
x = -15/4/2
x = -15/8 |
Solve quickly: x^3 + 25/14x^2 - 37/14x - 24/7 = 0 | x^3 + 25/14x^2 - 37/14x - 24/7 = 0
(x - 3/2)(x - -1)(x - -16/7) = 0
x - 3/2 = 0
x - -1 = 0
x - -16/7 = 0
x = 3/2
x = -1
x = -16/7 |
Find x for x^3 + 107/20x^2 - 389/20x + 14 = 0 | x^3 + 107/20x^2 - 389/20x + 14 = 0
(x - -8)(x - 5/4)(x - 7/5) = 0
x - -8 = 0
x - 5/4 = 0
x - 7/5 = 0
x = -8
x = 5/4
x = 7/5 |
Compute the solution of x^3 - 19/4x^2 + 395/64x - 323/256 = 0 | x^3 - 19/4x^2 + 395/64x - 323/256 = 0
(x - 17/8)(x - 19/8)(x - 1/4) = 0
x - 17/8 = 0
x - 19/8 = 0
x - 1/4 = 0
x = 17/8
x = 19/8
x = 1/4 |
Solve quickly: x^2 - 19/4x + 11/2 = 0 | x^2 - 19/4x + 11/2 = 0
(x - 11/4)(x - 2) = 0
x - 11/4 = 0 or x - 2 = 0
x = 11/4
x = 2 |
Find x and y such that
5x + 5y = -260/7
6x + 3y = -207/7 | 5x + 5y = -260/7
6x + 3y = -207/7
Using elimination
6*(5x + 5y = -260/7)
5*(6x + 3y = -207/7)
30x + 30y = -1560/7
30x + 15y = -1035/7
Subtract equations
15y = -75
y = -75/15
y = -5
Substitute y
5x + 5(-5) = -260/7
5x = -85/7
x = -85/7/5
x = -17/7 |
What value of x satisfies x^2 - 23/8x - 285/32 = 0 | x^2 - 23/8x - 285/32 = 0
(x - 19/4)(x - -15/8) = 0
x - 19/4 = 0 or x - -15/8 = 0
x = 19/4
x = -15/8 |
Compute the solution of x^3 + 3/2x^2 - 305/98x - 102/49 = 0 | x^3 + 3/2x^2 - 305/98x - 102/49 = 0
(x - -4/7)(x - 3/2)(x - -17/7) = 0
x - -4/7 = 0
x - 3/2 = 0
x - -17/7 = 0
x = -4/7
x = 3/2
x = -17/7 |
Solve the equation 3x - 21 = 0 | 3x - 21 = 0
3x = 21
x = 21 / 3
x = 7 |
Find x and y such that
2x + 10y = 167/7
2x + 2y = 27/7 | 2x + 10y = 167/7
2x + 2y = 27/7
Using elimination
2*(2x + 10y = 167/7)
2*(2x + 2y = 27/7)
4x + 20y = 334/7
4x + 4y = 54/7
Subtract equations
16y = 40
y = 40/16
y = 5/2
Substitute y
2x + 10(5/2) = 167/7
2x = -8/7
x = -8/7/2
x = -4/7 |
Find x in 9x + 171/10 = 0 | 9x + 171/10 = 0
9x = -171/10
x = -171/10 / 9
x = -19/10 |
Find x and y such that
9x + 8y = 9/5
7x + 3y = -8/15 | 9x + 8y = 9/5
7x + 3y = -8/15
Using elimination
7*(9x + 8y = 9/5)
9*(7x + 3y = -8/15)
63x + 56y = 63/5
63x + 27y = -24/5
Subtract equations
29y = 87/5
y = 87/5/29
y = 3/5
Substitute y
9x + 8(3/5) = 9/5
9x = -3
x = -3/9
x = -1/3 |
Solve simultaneously:
4x + 2y = 282/35
6x + 2y = 338/35 | 4x + 2y = 282/35
6x + 2y = 338/35
Using elimination
6*(4x + 2y = 282/35)
4*(6x + 2y = 338/35)
24x + 12y = 1692/35
24x + 8y = 1352/35
Subtract equations
4y = 68/7
y = 68/7/4
y = 17/7
Substitute y
4x + 2(17/7) = 282/35
4x = 16/5
x = 16/5/4
x = 4/5 |
Solve simultaneously:
7x + 2y = 130/9
3x + 2y = 262/63 | 7x + 2y = 130/9
3x + 2y = 262/63
Using elimination
3*(7x + 2y = 130/9)
7*(3x + 2y = 262/63)
21x + 6y = 130/3
21x + 14y = 262/9
Subtract equations
-8y = 128/9
y = 128/9/-8
y = -16/9
Substitute y
7x + 2(-16/9) = 130/9
7x = 18
x = 18/7
x = 18/7 |
Solve quickly: x^2 + 17/6x - 1/2 = 0 | x^2 + 17/6x - 1/2 = 0
(x - 1/6)(x - -3) = 0
x - 1/6 = 0 or x - -3 = 0
x = 1/6
x = -3 |
Solve x^2 + 17/12x - 33/4 = 0 | x^2 + 17/12x - 33/4 = 0
(x - -11/3)(x - 9/4) = 0
x - -11/3 = 0 or x - 9/4 = 0
x = -11/3
x = 9/4 |
Solve x^3 + 5/3x^2 - 33/4x - 51/4 = 0 | x^3 + 5/3x^2 - 33/4x - 51/4 = 0
(x - -3)(x - -3/2)(x - 17/6) = 0
x - -3 = 0
x - -3/2 = 0
x - 17/6 = 0
x = -3
x = -3/2
x = 17/6 |
Solve quickly: x^2 + 7/2x + 3 = 0 | x^2 + 7/2x + 3 = 0
(x - -3/2)(x - -2) = 0
x - -3/2 = 0 or x - -2 = 0
x = -3/2
x = -2 |
Compute the solution of x^2 - 10/9x - 19/9 = 0 | x^2 - 10/9x - 19/9 = 0
(x - 19/9)(x - -1) = 0
x - 19/9 = 0 or x - -1 = 0
x = 19/9
x = -1 |
What value of x satisfies x^3 + 197/30x^2 + 761/60x + 273/40 = 0 | x^3 + 197/30x^2 + 761/60x + 273/40 = 0
(x - -7/2)(x - -13/6)(x - -9/10) = 0
x - -7/2 = 0
x - -13/6 = 0
x - -9/10 = 0
x = -7/2
x = -13/6
x = -9/10 |
Solve the equation 4x - 7/2 = 0 | 4x - 7/2 = 0
4x = 7/2
x = 7/2 / 4
x = 7/8 |
Find the solution to 1x + 10/3 = 0 | 1x + 10/3 = 0
1x = -10/3
x = -10/3 / 1
x = -10/3 |
Find x and y such that
7x + 5y = -191/4
7x + 6y = -51 | 7x + 5y = -191/4
7x + 6y = -51
Using elimination
7*(7x + 5y = -191/4)
7*(7x + 6y = -51)
49x + 35y = -1337/4
49x + 42y = -357
Subtract equations
-7y = 91/4
y = 91/4/-7
y = -13/4
Substitute y
7x + 5(-13/4) = -191/4
7x = -63/2
x = -63/2/7
x = -9/2 |
Find the solution to 8x + 24 = 0 | 8x + 24 = 0
8x = -24
x = -24 / 8
x = -3 |
Find x in x^3 + 17/9x^2 - 56/81x - 128/81 = 0 | x^3 + 17/9x^2 - 56/81x - 128/81 = 0
(x - 8/9)(x - -16/9)(x - -1) = 0
x - 8/9 = 0
x - -16/9 = 0
x - -1 = 0
x = 8/9
x = -16/9
x = -1 |
Find the solution to 1x + 15 = 0 | 1x + 15 = 0
1x = -15
x = -15 / 1
x = -15 |
Solve simultaneously:
8x + 5y = 667/28
6x + 9y = 831/28 | 8x + 5y = 667/28
6x + 9y = 831/28
Using elimination
6*(8x + 5y = 667/28)
8*(6x + 9y = 831/28)
48x + 30y = 2001/14
48x + 72y = 1662/7
Subtract equations
-42y = -189/2
y = -189/2/-42
y = 9/4
Substitute y
8x + 5(9/4) = 667/28
8x = 88/7
x = 88/7/8
x = 11/7 |
Compute the solution of x^3 - 133/12x^2 + 203/8x - 17/3 = 0 | x^3 - 133/12x^2 + 203/8x - 17/3 = 0
(x - 8)(x - 1/4)(x - 17/6) = 0
x - 8 = 0
x - 1/4 = 0
x - 17/6 = 0
x = 8
x = 1/4
x = 17/6 |
Find x and y such that
8x + 1y = -171/7
5x + 5y = -260/7 | 8x + 1y = -171/7
5x + 5y = -260/7
Using elimination
5*(8x + 1y = -171/7)
8*(5x + 5y = -260/7)
40x + 5y = -855/7
40x + 40y = -2080/7
Subtract equations
-35y = 175
y = 175/-35
y = -5
Substitute y
8x + 1(-5) = -171/7
8x = -136/7
x = -136/7/8
x = -17/7 |
Solve simultaneously:
6x + 5y = -24/5
5x + 10y = -4 | 6x + 5y = -24/5
5x + 10y = -4
Using elimination
5*(6x + 5y = -24/5)
6*(5x + 10y = -4)
30x + 25y = -24
30x + 60y = -24
Subtract equations
-35y = 0
y = 0/-35
y = 0
Substitute y
6x + 5(0) = -24/5
6x = -24/5
x = -24/5/6
x = -4/5 |
Solve quickly: 4x - 68/9 = 0 | 4x - 68/9 = 0
4x = 68/9
x = 68/9 / 4
x = 17/9 |
Find x and y such that
3x + 2y = -38/5
7x + 10y = -38 | 3x + 2y = -38/5
7x + 10y = -38
Using elimination
7*(3x + 2y = -38/5)
3*(7x + 10y = -38)
21x + 14y = -266/5
21x + 30y = -114
Subtract equations
-16y = 304/5
y = 304/5/-16
y = -19/5
Substitute y
3x + 2(-19/5) = -38/5
3x = 0
x = 0/3
x = 0 |
Compute the solution of 10x + 10 = 0 | 10x + 10 = 0
10x = -10
x = -10 / 10
x = -1 |
Determine x in x^3 - 73/4x^2 - 16x + 133/4 = 0 | x^3 - 73/4x^2 - 16x + 133/4 = 0
(x - 19)(x - -7/4)(x - 1) = 0
x - 19 = 0
x - -7/4 = 0
x - 1 = 0
x = 19
x = -7/4
x = 1 |
Find x and y such that
5x + 2y = 131/5
3x + 1y = 78/5 | 5x + 2y = 131/5
3x + 1y = 78/5
Using elimination
3*(5x + 2y = 131/5)
5*(3x + 1y = 78/5)
15x + 6y = 393/5
15x + 5y = 78
Subtract equations
1y = 3/5
y = 3/5/1
y = 3/5
Substitute y
5x + 2(3/5) = 131/5
5x = 25
x = 25/5
x = 5 |
Find x and y such that
2x + 5y = 53/4
1x + 2y = 197/40 | 2x + 5y = 53/4
1x + 2y = 197/40
Using elimination
1*(2x + 5y = 53/4)
2*(1x + 2y = 197/40)
2x + 5y = 53/4
2x + 4y = 197/20
Subtract equations
1y = 17/5
y = 17/5/1
y = 17/5
Substitute y
2x + 5(17/5) = 53/4
2x = -15/4
x = -15/4/2
x = -15/8 |
Solve simultaneously:
6x + 7y = -497/5
8x + 2y = -186/5 | 6x + 7y = -497/5
8x + 2y = -186/5
Using elimination
8*(6x + 7y = -497/5)
6*(8x + 2y = -186/5)
48x + 56y = -3976/5
48x + 12y = -1116/5
Subtract equations
44y = -572
y = -572/44
y = -13
Substitute y
6x + 7(-13) = -497/5
6x = -42/5
x = -42/5/6
x = -7/5 |
Solve the equation x^2 - 1/3x - 14/3 = 0 | x^2 - 1/3x - 14/3 = 0
(x - 7/3)(x - -2) = 0
x - 7/3 = 0 or x - -2 = 0
x = 7/3
x = -2 |
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