input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the equation x^2 - 17/8x - 77/16 = 0 | x^2 - 17/8x - 77/16 = 0
(x - -11/8)(x - 7/2) = 0
x - -11/8 = 0 or x - 7/2 = 0
x = -11/8
x = 7/2 |
Determine x in x^2 + 217/10x + 34 = 0 | x^2 + 217/10x + 34 = 0
(x - -20)(x - -17/10) = 0
x - -20 = 0 or x - -17/10 = 0
x = -20
x = -17/10 |
Solve simultaneously:
2x + 8y = -1058/63
3x + 5y = -151/21 | 2x + 8y = -1058/63
3x + 5y = -151/21
Using elimination
3*(2x + 8y = -1058/63)
2*(3x + 5y = -151/21)
6x + 24y = -1058/21
6x + 10y = -302/21
Subtract equations
14y = -36
y = -36/14
y = -18/7
Substitute y
2x + 8(-18/7) = -1058/63
2x = 34/9
x = 34/9/2
x = 17/9 |
Find x and y such that
2x + 2y = -113/7
2x + 8y = -428/7 | 2x + 2y = -113/7
2x + 8y = -428/7
Using elimination
2*(2x + 2y = -113/7)
2*(2x + 8y = -428/7)
4x + 4y = -226/7
4x + 16y = -856/7
Subtract equations
-12y = 90
y = 90/-12
y = -15/2
Substitute y
2x + 2(-15/2) = -113/7
2x = -8/7
x = -8/7/2
x = -4/7 |
Solve x^2 + 1/20x - 21/40 = 0 | x^2 + 1/20x - 21/40 = 0
(x - 7/10)(x - -3/4) = 0
x - 7/10 = 0 or x - -3/4 = 0
x = 7/10
x = -3/4 |
Compute the solution of 10x - 95 = 0 | 10x - 95 = 0
10x = 95
x = 95 / 10
x = 19/2 |
Solve simultaneously:
3x + 9y = 213/8
5x + 4y = 119/2 | 3x + 9y = 213/8
5x + 4y = 119/2
Using elimination
5*(3x + 9y = 213/8)
3*(5x + 4y = 119/2)
15x + 45y = 1065/8
15x + 12y = 357/2
Subtract equations
33y = -363/8
y = -363/8/33
y = -11/8
Substitute y
3x + 9(-11/8) = 213/8
3x = 39
x = 39/3
x = 13 |
Find the solution to 3x - 6 = 0 | 3x - 6 = 0
3x = 6
x = 6 / 3
x = 2 |
Solve the system:
1x + 4y = 31/3
7x + 2y = 113/3 | 1x + 4y = 31/3
7x + 2y = 113/3
Using elimination
7*(1x + 4y = 31/3)
1*(7x + 2y = 113/3)
7x + 28y = 217/3
7x + 2y = 113/3
Subtract equations
26y = 104/3
y = 104/3/26
y = 4/3
Substitute y
1x + 4(4/3) = 31/3
1x = 5
x = 5/1
x = 5 |
Solve x^3 + 37/40x^2 - 29/5x - 221/32 = 0 | x^3 + 37/40x^2 - 29/5x - 221/32 = 0
(x - -17/8)(x - 5/2)(x - -13/10) = 0
x - -17/8 = 0
x - 5/2 = 0
x - -13/10 = 0
x = -17/8
x = 5/2
x = -13/10 |
Find x in 3x - 2 = 0 | 3x - 2 = 0
3x = 2
x = 2 / 3
x = 2/3 |
Determine x in 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 |
Solve the equations:
10x + 7y = -205/21
6x + 8y = 10/21 | 10x + 7y = -205/21
6x + 8y = 10/21
Using elimination
6*(10x + 7y = -205/21)
10*(6x + 8y = 10/21)
60x + 42y = -410/7
60x + 80y = 100/21
Subtract equations
-38y = -190/3
y = -190/3/-38
y = 5/3
Substitute y
10x + 7(5/3) = -205/21
10x = -150/7
x = -150/7/10
x = -15/7 |
Find the solution to x^2 + 21/10x - 1 = 0 | x^2 + 21/10x - 1 = 0
(x - 2/5)(x - -5/2) = 0
x - 2/5 = 0 or x - -5/2 = 0
x = 2/5
x = -5/2 |
Compute the solution of x^3 + 87/20x^2 - 67/40x - 63/4 = 0 | x^3 + 87/20x^2 - 67/40x - 63/4 = 0
(x - -18/5)(x - -5/2)(x - 7/4) = 0
x - -18/5 = 0
x - -5/2 = 0
x - 7/4 = 0
x = -18/5
x = -5/2
x = 7/4 |
Solve simultaneously:
2x + 2y = 185/36
3x + 9y = 491/24 | 2x + 2y = 185/36
3x + 9y = 491/24
Using elimination
3*(2x + 2y = 185/36)
2*(3x + 9y = 491/24)
6x + 6y = 185/12
6x + 18y = 491/12
Subtract equations
-12y = -51/2
y = -51/2/-12
y = 17/8
Substitute y
2x + 2(17/8) = 185/36
2x = 8/9
x = 8/9/2
x = 4/9 |
Compute the solution of x^3 + 527/180x^2 + 211/90x + 8/15 = 0 | x^3 + 527/180x^2 + 211/90x + 8/15 = 0
(x - -2/5)(x - -16/9)(x - -3/4) = 0
x - -2/5 = 0
x - -16/9 = 0
x - -3/4 = 0
x = -2/5
x = -16/9
x = -3/4 |
Find the solution to x^3 + 48/5x^2 + 333/20x + 27/4 = 0 | x^3 + 48/5x^2 + 333/20x + 27/4 = 0
(x - -15/2)(x - -3/5)(x - -3/2) = 0
x - -15/2 = 0
x - -3/5 = 0
x - -3/2 = 0
x = -15/2
x = -3/5
x = -3/2 |
Find x and y such that
3x + 3y = -163/24
3x + 7y = -295/24 | 3x + 3y = -163/24
3x + 7y = -295/24
Using elimination
3*(3x + 3y = -163/24)
3*(3x + 7y = -295/24)
9x + 9y = -163/8
9x + 21y = -295/8
Subtract equations
-12y = 33/2
y = 33/2/-12
y = -11/8
Substitute y
3x + 3(-11/8) = -163/24
3x = -8/3
x = -8/3/3
x = -8/9 |
What value of x satisfies x^2 + 31/4x - 45/4 = 0 | x^2 + 31/4x - 45/4 = 0
(x - -9)(x - 5/4) = 0
x - -9 = 0 or x - 5/4 = 0
x = -9
x = 5/4 |
Solve the equations:
3x + 5y = 13/2
8x + 10y = 77/3 | 3x + 5y = 13/2
8x + 10y = 77/3
Using elimination
8*(3x + 5y = 13/2)
3*(8x + 10y = 77/3)
24x + 40y = 52
24x + 30y = 77
Subtract equations
10y = -25
y = -25/10
y = -5/2
Substitute y
3x + 5(-5/2) = 13/2
3x = 19
x = 19/3
x = 19/3 |
Compute the solution of x^3 - 167/360x^2 - 419/360x - 11/90 = 0 | x^3 - 167/360x^2 - 419/360x - 11/90 = 0
(x - -4/5)(x - 11/8)(x - -1/9) = 0
x - -4/5 = 0
x - 11/8 = 0
x - -1/9 = 0
x = -4/5
x = 11/8
x = -1/9 |
Solve simultaneously:
10x + 4y = -44/7
9x + 10y = -174/7 | 10x + 4y = -44/7
9x + 10y = -174/7
Using elimination
9*(10x + 4y = -44/7)
10*(9x + 10y = -174/7)
90x + 36y = -396/7
90x + 100y = -1740/7
Subtract equations
-64y = 192
y = 192/-64
y = -3
Substitute y
10x + 4(-3) = -44/7
10x = 40/7
x = 40/7/10
x = 4/7 |
What value of x satisfies 3x - 9/5 = 0 | 3x - 9/5 = 0
3x = 9/5
x = 9/5 / 3
x = 3/5 |
Find x for x^3 - 193/18x^2 + 35/9x + 100/3 = 0 | x^3 - 193/18x^2 + 35/9x + 100/3 = 0
(x - -3/2)(x - 20/9)(x - 10) = 0
x - -3/2 = 0
x - 20/9 = 0
x - 10 = 0
x = -3/2
x = 20/9
x = 10 |
Find x in 10x + 190 = 0 | 10x + 190 = 0
10x = -190
x = -190 / 10
x = -19 |
Compute the solution of x^2 - 19/5x + 18/5 = 0 | x^2 - 19/5x + 18/5 = 0
(x - 2)(x - 9/5) = 0
x - 2 = 0 or x - 9/5 = 0
x = 2
x = 9/5 |
Solve quickly: x^2 + 28/3x - 55/3 = 0 | x^2 + 28/3x - 55/3 = 0
(x - -11)(x - 5/3) = 0
x - -11 = 0 or x - 5/3 = 0
x = -11
x = 5/3 |
Find x for x^3 + 22/3x^2 + 40/3x = 0 | x^3 + 22/3x^2 + 40/3x = 0
(x - -10/3)(x - -4)(x - 0) = 0
x - -10/3 = 0
x - -4 = 0
x - 0 = 0
x = -10/3
x = -4
x = 0 |
Find x for 3x + 27/5 = 0 | 3x + 27/5 = 0
3x = -27/5
x = -27/5 / 3
x = -9/5 |
Find x in x^2 + 5x + 56/9 = 0 | x^2 + 5x + 56/9 = 0
(x - -8/3)(x - -7/3) = 0
x - -8/3 = 0 or x - -7/3 = 0
x = -8/3
x = -7/3 |
Determine x in 3x + 6 = 0 | 3x + 6 = 0
3x = -6
x = -6 / 3
x = -2 |
Solve the system:
10x + 3y = -231/2
3x + 4y = -30 | 10x + 3y = -231/2
3x + 4y = -30
Using elimination
3*(10x + 3y = -231/2)
10*(3x + 4y = -30)
30x + 9y = -693/2
30x + 40y = -300
Subtract equations
-31y = -93/2
y = -93/2/-31
y = 3/2
Substitute y
10x + 3(3/2) = -231/2
10x = -120
x = -120/10
x = -12 |
Find x in 6x - 20/3 = 0 | 6x - 20/3 = 0
6x = 20/3
x = 20/3 / 6
x = 10/9 |
Find x in x^2 - 53/2x + 130 = 0 | x^2 - 53/2x + 130 = 0
(x - 20)(x - 13/2) = 0
x - 20 = 0 or x - 13/2 = 0
x = 20
x = 13/2 |
Find x and y such that
1x + 9y = 7
4x + 4y = 52/3 | 1x + 9y = 7
4x + 4y = 52/3
Using elimination
4*(1x + 9y = 7)
1*(4x + 4y = 52/3)
4x + 36y = 28
4x + 4y = 52/3
Subtract equations
32y = 32/3
y = 32/3/32
y = 1/3
Substitute y
1x + 9(1/3) = 7
1x = 4
x = 4/1
x = 4 |
What value of x satisfies 9x - 27/5 = 0 | 9x - 27/5 = 0
9x = 27/5
x = 27/5 / 9
x = 3/5 |
Find the solution to x^2 - 121/36 = 0 | x^2 - 121/36 = 0
(x - 11/6)(x - -11/6) = 0
x - 11/6 = 0 or x - -11/6 = 0
x = 11/6
x = -11/6 |
What value of x satisfies 10x - 90 = 0 | 10x - 90 = 0
10x = 90
x = 90 / 10
x = 9 |
Find x in x^2 + 13/3x = 0 | x^2 + 13/3x = 0
(x - 0)(x - -13/3) = 0
x - 0 = 0 or x - -13/3 = 0
x = 0
x = -13/3 |
Find x for x^2 + 3/4x - 9/8 = 0 | x^2 + 3/4x - 9/8 = 0
(x - 3/4)(x - -3/2) = 0
x - 3/4 = 0 or x - -3/2 = 0
x = 3/4
x = -3/2 |
Solve simultaneously:
9x + 5y = 73/4
6x + 1y = 89/10 | 9x + 5y = 73/4
6x + 1y = 89/10
Using elimination
6*(9x + 5y = 73/4)
9*(6x + 1y = 89/10)
54x + 30y = 219/2
54x + 9y = 801/10
Subtract equations
21y = 147/5
y = 147/5/21
y = 7/5
Substitute y
9x + 5(7/5) = 73/4
9x = 45/4
x = 45/4/9
x = 5/4 |
Determine x in x^2 + 11/28x - 6/7 = 0 | x^2 + 11/28x - 6/7 = 0
(x - 3/4)(x - -8/7) = 0
x - 3/4 = 0 or x - -8/7 = 0
x = 3/4
x = -8/7 |
Compute the solution of 9x + 27/2 = 0 | 9x + 27/2 = 0
9x = -27/2
x = -27/2 / 9
x = -3/2 |
Compute the solution of 9x - 15 = 0 | 9x - 15 = 0
9x = 15
x = 15 / 9
x = 5/3 |
Solve the equation x^2 + 1/8x - 33/16 = 0 | x^2 + 1/8x - 33/16 = 0
(x - -3/2)(x - 11/8) = 0
x - -3/2 = 0 or x - 11/8 = 0
x = -3/2
x = 11/8 |
Find x and y such that
4x + 4y = 56/3
5x + 1y = 74/3 | 4x + 4y = 56/3
5x + 1y = 74/3
Using elimination
5*(4x + 4y = 56/3)
4*(5x + 1y = 74/3)
20x + 20y = 280/3
20x + 4y = 296/3
Subtract equations
16y = -16/3
y = -16/3/16
y = -1/3
Substitute y
4x + 4(-1/3) = 56/3
4x = 20
x = 20/4
x = 5 |
Determine x in x^2 + 41/8x - 105/8 = 0 | x^2 + 41/8x - 105/8 = 0
(x - 15/8)(x - -7) = 0
x - 15/8 = 0 or x - -7 = 0
x = 15/8
x = -7 |
Solve simultaneously:
9x + 6y = 387/5
9x + 9y = 801/10 | 9x + 6y = 387/5
9x + 9y = 801/10
Using elimination
9*(9x + 6y = 387/5)
9*(9x + 9y = 801/10)
81x + 54y = 3483/5
81x + 81y = 7209/10
Subtract equations
-27y = -243/10
y = -243/10/-27
y = 9/10
Substitute y
9x + 6(9/10) = 387/5
9x = 72
x = 72/9
x = 8 |
Solve quickly: 9x + 72/5 = 0 | 9x + 72/5 = 0
9x = -72/5
x = -72/5 / 9
x = -8/5 |
Find x for x^2 + 22/3x + 19/3 = 0 | x^2 + 22/3x + 19/3 = 0
(x - -1)(x - -19/3) = 0
x - -1 = 0 or x - -19/3 = 0
x = -1
x = -19/3 |
Find x in x^2 + 76/45x - 1/5 = 0 | x^2 + 76/45x - 1/5 = 0
(x - -9/5)(x - 1/9) = 0
x - -9/5 = 0 or x - 1/9 = 0
x = -9/5
x = 1/9 |
What value of x satisfies x^3 - 21/2x^2 + 67/2x - 30 = 0 | x^3 - 21/2x^2 + 67/2x - 30 = 0
(x - 3/2)(x - 5)(x - 4) = 0
x - 3/2 = 0
x - 5 = 0
x - 4 = 0
x = 3/2
x = 5
x = 4 |
What value of x satisfies 4x + 38/3 = 0 | 4x + 38/3 = 0
4x = -38/3
x = -38/3 / 4
x = -19/6 |
Solve the equation 10x - 10 = 0 | 10x - 10 = 0
10x = 10
x = 10 / 10
x = 1 |
Determine x in 9x + 6 = 0 | 9x + 6 = 0
9x = -6
x = -6 / 9
x = -2/3 |
Solve quickly: 2x - 19/3 = 0 | 2x - 19/3 = 0
2x = 19/3
x = 19/3 / 2
x = 19/6 |
Solve the system:
7x + 5y = -313/6
9x + 9y = -123/2 | 7x + 5y = -313/6
9x + 9y = -123/2
Using elimination
9*(7x + 5y = -313/6)
7*(9x + 9y = -123/2)
63x + 45y = -939/2
63x + 63y = -861/2
Subtract equations
-18y = -39
y = -39/-18
y = 13/6
Substitute y
7x + 5(13/6) = -313/6
7x = -63
x = -63/7
x = -9 |
Solve quickly: 5x + 55/7 = 0 | 5x + 55/7 = 0
5x = -55/7
x = -55/7 / 5
x = -11/7 |
Solve the system:
10x + 6y = 230/3
8x + 9y = 247/3 | 10x + 6y = 230/3
8x + 9y = 247/3
Using elimination
8*(10x + 6y = 230/3)
10*(8x + 9y = 247/3)
80x + 48y = 1840/3
80x + 90y = 2470/3
Subtract equations
-42y = -210
y = -210/-42
y = 5
Substitute y
10x + 6(5) = 230/3
10x = 140/3
x = 140/3/10
x = 14/3 |
Compute the solution of 4x + 4/9 = 0 | 4x + 4/9 = 0
4x = -4/9
x = -4/9 / 4
x = -1/9 |
Find the solution to 3x + 57 = 0 | 3x + 57 = 0
3x = -57
x = -57 / 3
x = -19 |
Determine x in x^2 - 1x - 11/100 = 0 | x^2 - 1x - 11/100 = 0
(x - 11/10)(x - -1/10) = 0
x - 11/10 = 0 or x - -1/10 = 0
x = 11/10
x = -1/10 |
Find x in x^3 - 77/6x^2 + 35/2x + 325/3 = 0 | x^3 - 77/6x^2 + 35/2x + 325/3 = 0
(x - 10)(x - 5)(x - -13/6) = 0
x - 10 = 0
x - 5 = 0
x - -13/6 = 0
x = 10
x = 5
x = -13/6 |
Compute the solution of x^2 - 89/18x + 2 = 0 | x^2 - 89/18x + 2 = 0
(x - 4/9)(x - 9/2) = 0
x - 4/9 = 0 or x - 9/2 = 0
x = 4/9
x = 9/2 |
Determine x in x^2 - 16 = 0 | x^2 - 16 = 0
(x - 4)(x - -4) = 0
x - 4 = 0 or x - -4 = 0
x = 4
x = -4 |
Compute the solution of x^2 + 3x + 2 = 0 | x^2 + 3x + 2 = 0
(x - -2)(x - -1) = 0
x - -2 = 0 or x - -1 = 0
x = -2
x = -1 |
Determine x in x^2 + 11/4x - 39/2 = 0 | x^2 + 11/4x - 39/2 = 0
(x - 13/4)(x - -6) = 0
x - 13/4 = 0 or x - -6 = 0
x = 13/4
x = -6 |
Find the solution to 7x + 2 = 0 | 7x + 2 = 0
7x = -2
x = -2 / 7
x = -2/7 |
Find x in x^3 - 11/42x^2 - 5/2x + 25/21 = 0 | x^3 - 11/42x^2 - 5/2x + 25/21 = 0
(x - 1/2)(x - 10/7)(x - -5/3) = 0
x - 1/2 = 0
x - 10/7 = 0
x - -5/3 = 0
x = 1/2
x = 10/7
x = -5/3 |
Solve quickly: x^2 - 27/4x + 19/2 = 0 | x^2 - 27/4x + 19/2 = 0
(x - 19/4)(x - 2) = 0
x - 19/4 = 0 or x - 2 = 0
x = 19/4
x = 2 |
Find x for x^3 - 47/12x^2 + 19/24x + 11/24 = 0 | x^3 - 47/12x^2 + 19/24x + 11/24 = 0
(x - 11/3)(x - 1/2)(x - -1/4) = 0
x - 11/3 = 0
x - 1/2 = 0
x - -1/4 = 0
x = 11/3
x = 1/2
x = -1/4 |
Determine x in x^2 - 67/18x + 10/3 = 0 | x^2 - 67/18x + 10/3 = 0
(x - 3/2)(x - 20/9) = 0
x - 3/2 = 0 or x - 20/9 = 0
x = 3/2
x = 20/9 |
Find x and y such that
5x + 4y = 19
10x + 10y = 42 | 5x + 4y = 19
10x + 10y = 42
Using elimination
10*(5x + 4y = 19)
5*(10x + 10y = 42)
50x + 40y = 190
50x + 50y = 210
Subtract equations
-10y = -20
y = -20/-10
y = 2
Substitute y
5x + 4(2) = 19
5x = 11
x = 11/5
x = 11/5 |
Find x in x^3 + 13/2x^2 + 1/2x - 35 = 0 | x^3 + 13/2x^2 + 1/2x - 35 = 0
(x - -5)(x - 2)(x - -7/2) = 0
x - -5 = 0
x - 2 = 0
x - -7/2 = 0
x = -5
x = 2
x = -7/2 |
Determine x in 10x + 13 = 0 | 10x + 13 = 0
10x = -13
x = -13 / 10
x = -13/10 |
Solve quickly: x^3 + 106/15x^2 + 312/25x + 448/75 = 0 | x^3 + 106/15x^2 + 312/25x + 448/75 = 0
(x - -8/5)(x - -14/3)(x - -4/5) = 0
x - -8/5 = 0
x - -14/3 = 0
x - -4/5 = 0
x = -8/5
x = -14/3
x = -4/5 |
Compute the solution of 3x - 17 = 0 | 3x - 17 = 0
3x = 17
x = 17 / 3
x = 17/3 |
Compute the solution of 1x + 13/6 = 0 | 1x + 13/6 = 0
1x = -13/6
x = -13/6 / 1
x = -13/6 |
Find x in x^3 + 33/14x^2 - 731/350x - 66/35 = 0 | x^3 + 33/14x^2 - 731/350x - 66/35 = 0
(x - -20/7)(x - -3/5)(x - 11/10) = 0
x - -20/7 = 0
x - -3/5 = 0
x - 11/10 = 0
x = -20/7
x = -3/5
x = 11/10 |
Find x for x^3 - 17/3x^2 - 249x - 247/3 = 0 | x^3 - 17/3x^2 - 249x - 247/3 = 0
(x - -13)(x - 19)(x - -1/3) = 0
x - -13 = 0
x - 19 = 0
x - -1/3 = 0
x = -13
x = 19
x = -1/3 |
Solve the equations:
9x + 6y = 126
8x + 7y = 112 | 9x + 6y = 126
8x + 7y = 112
Using elimination
8*(9x + 6y = 126)
9*(8x + 7y = 112)
72x + 48y = 1008
72x + 63y = 1008
Subtract equations
-15y = 0
y = 0/-15
y = 0
Substitute y
9x + 6(0) = 126
9x = 126
x = 126/9
x = 14 |
Find the solution to 3x + 24/5 = 0 | 3x + 24/5 = 0
3x = -24/5
x = -24/5 / 3
x = -8/5 |
Find x in 6x - 39 = 0 | 6x - 39 = 0
6x = 39
x = 39 / 6
x = 13/2 |
Find x and y such that
5x + 1y = -14/9
10x + 10y = -340/9 | 5x + 1y = -14/9
10x + 10y = -340/9
Using elimination
10*(5x + 1y = -14/9)
5*(10x + 10y = -340/9)
50x + 10y = -140/9
50x + 50y = -1700/9
Subtract equations
-40y = 520/3
y = 520/3/-40
y = -13/3
Substitute y
5x + 1(-13/3) = -14/9
5x = 25/9
x = 25/9/5
x = 5/9 |
Solve the equations:
1x + 10y = -22
7x + 9y = -221/5 | 1x + 10y = -22
7x + 9y = -221/5
Using elimination
7*(1x + 10y = -22)
1*(7x + 9y = -221/5)
7x + 70y = -154
7x + 9y = -221/5
Subtract equations
61y = -549/5
y = -549/5/61
y = -9/5
Substitute y
1x + 10(-9/5) = -22
1x = -4
x = -4/1
x = -4 |
Solve the equations:
3x + 3y = -15/2
9x + 5y = -69/2 | 3x + 3y = -15/2
9x + 5y = -69/2
Using elimination
9*(3x + 3y = -15/2)
3*(9x + 5y = -69/2)
27x + 27y = -135/2
27x + 15y = -207/2
Subtract equations
12y = 36
y = 36/12
y = 3
Substitute y
3x + 3(3) = -15/2
3x = -33/2
x = -33/2/3
x = -11/2 |
Solve the equation x^3 - 7/3x^2 - 20/3x = 0 | x^3 - 7/3x^2 - 20/3x = 0
(x - 4)(x - -5/3)(x - 0) = 0
x - 4 = 0
x - -5/3 = 0
x - 0 = 0
x = 4
x = -5/3
x = 0 |
Solve the equation x^2 + 63/4x - 4 = 0 | x^2 + 63/4x - 4 = 0
(x - 1/4)(x - -16) = 0
x - 1/4 = 0 or x - -16 = 0
x = 1/4
x = -16 |
Determine x in x^2 + 19/10x = 0 | x^2 + 19/10x = 0
(x - 0)(x - -19/10) = 0
x - 0 = 0 or x - -19/10 = 0
x = 0
x = -19/10 |
Solve x^3 + 147/20x^2 - 128/5x + 9 = 0 | x^3 + 147/20x^2 - 128/5x + 9 = 0
(x - 2/5)(x - -10)(x - 9/4) = 0
x - 2/5 = 0
x - -10 = 0
x - 9/4 = 0
x = 2/5
x = -10
x = 9/4 |
Solve the system:
2x + 9y = 0
4x + 2y = 0 | 2x + 9y = 0
4x + 2y = 0
Using elimination
4*(2x + 9y = 0)
2*(4x + 2y = 0)
8x + 36y = 0
8x + 4y = 0
Subtract equations
32y = 0
y = 0/32
y = 0
Substitute y
2x + 9(0) = 0
2x = 0
x = 0/2
x = 0 |
Solve the equation x^3 + 8x^2 + 13x + 6 = 0 | x^3 + 8x^2 + 13x + 6 = 0
(x - -1)(x - -6)(x - -1) = 0
x - -1 = 0
x - -6 = 0
x - -1 = 0
x = -1
x = -6
x = -1 |
Solve the equation 1x - 1/3 = 0 | 1x - 1/3 = 0
1x = 1/3
x = 1/3 / 1
x = 1/3 |
Solve x^2 - 324/49 = 0 | x^2 - 324/49 = 0
(x - -18/7)(x - 18/7) = 0
x - -18/7 = 0 or x - 18/7 = 0
x = -18/7
x = 18/7 |
Compute the solution of 9x + 9/4 = 0 | 9x + 9/4 = 0
9x = -9/4
x = -9/4 / 9
x = -1/4 |
Find the solution to x^2 + 53/36x - 5/3 = 0 | x^2 + 53/36x - 5/3 = 0
(x - 3/4)(x - -20/9) = 0
x - 3/4 = 0 or x - -20/9 = 0
x = 3/4
x = -20/9 |
Determine x in x^2 + 13/3x - 42 = 0 | x^2 + 13/3x - 42 = 0
(x - 14/3)(x - -9) = 0
x - 14/3 = 0 or x - -9 = 0
x = 14/3
x = -9 |
Solve the equation x^2 + 13/18x - 7/6 = 0 | x^2 + 13/18x - 7/6 = 0
(x - -3/2)(x - 7/9) = 0
x - -3/2 = 0 or x - 7/9 = 0
x = -3/2
x = 7/9 |
Compute the solution of x^3 + 1/3x^2 - 110/3x - 200/3 = 0 | x^3 + 1/3x^2 - 110/3x - 200/3 = 0
(x - -2)(x - 20/3)(x - -5) = 0
x - -2 = 0
x - 20/3 = 0
x - -5 = 0
x = -2
x = 20/3
x = -5 |
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