input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the equation x^3 + 16/5x^2 - 28/5x - 48/5 = 0 | x^3 + 16/5x^2 - 28/5x - 48/5 = 0
(x - -6/5)(x - 2)(x - -4) = 0
x - -6/5 = 0
x - 2 = 0
x - -4 = 0
x = -6/5
x = 2
x = -4 |
Solve x^2 + 21/5x - 54/5 = 0 | x^2 + 21/5x - 54/5 = 0
(x - 9/5)(x - -6) = 0
x - 9/5 = 0 or x - -6 = 0
x = 9/5
x = -6 |
Solve the equations:
4x + 5y = -655/8
6x + 4y = -243/2 | 4x + 5y = -655/8
6x + 4y = -243/2
Using elimination
6*(4x + 5y = -655/8)
4*(6x + 4y = -243/2)
24x + 30y = -1965/4
24x + 16y = -486
Subtract equations
14y = -21/4
y = -21/4/14
y = -3/8
Substitute y
4x + 5(-3/8) = -655/8
4x = -80
x = -80/4
x = -20 |
Find x for x^3 + 221/10x^2 + 95x - 208/5 = 0 | x^3 + 221/10x^2 + 95x - 208/5 = 0
(x - -16)(x - 2/5)(x - -13/2) = 0
x - -16 = 0
x - 2/5 = 0
x - -13/2 = 0
x = -16
x = 2/5
x = -13/2 |
Solve the system:
2x + 8y = -292/15
8x + 1y = -424/15 | 2x + 8y = -292/15
8x + 1y = -424/15
Using elimination
8*(2x + 8y = -292/15)
2*(8x + 1y = -424/15)
16x + 64y = -2336/15
16x + 2y = -848/15
Subtract equations
62y = -496/5
y = -496/5/62
y = -8/5
Substitute y
2x + 8(-8/5) = -292/15
2x = -20/3
x = -20/3/2
x = -10/3 |
What value of x satisfies 8x - 104/3 = 0 | 8x - 104/3 = 0
8x = 104/3
x = 104/3 / 8
x = 13/3 |
What value of x satisfies 1x + 11 = 0 | 1x + 11 = 0
1x = -11
x = -11 / 1
x = -11 |
Find x for x^2 - 34/5x + 24/5 = 0 | x^2 - 34/5x + 24/5 = 0
(x - 6)(x - 4/5) = 0
x - 6 = 0 or x - 4/5 = 0
x = 6
x = 4/5 |
Determine x in x^3 + 293/24x^2 + 691/16x + 2261/48 = 0 | x^3 + 293/24x^2 + 691/16x + 2261/48 = 0
(x - -19/8)(x - -17/6)(x - -7) = 0
x - -19/8 = 0
x - -17/6 = 0
x - -7 = 0
x = -19/8
x = -17/6
x = -7 |
Determine x in 10x - 6 = 0 | 10x - 6 = 0
10x = 6
x = 6 / 10
x = 3/5 |
Find x and y such that
3x + 9y = 177/14
2x + 4y = 38/7 | 3x + 9y = 177/14
2x + 4y = 38/7
Using elimination
2*(3x + 9y = 177/14)
3*(2x + 4y = 38/7)
6x + 18y = 177/7
6x + 12y = 114/7
Subtract equations
6y = 9
y = 9/6
y = 3/2
Substitute y
3x + 9(3/2) = 177/14
3x = -6/7
x = -6/7/3
x = -2/7 |
Find x and y such that
10x + 1y = -26
6x + 1y = -16 | 10x + 1y = -26
6x + 1y = -16
Using elimination
6*(10x + 1y = -26)
10*(6x + 1y = -16)
60x + 6y = -156
60x + 10y = -160
Subtract equations
-4y = 4
y = 4/-4
y = -1
Substitute y
10x + 1(-1) = -26
10x = -25
x = -25/10
x = -5/2 |
Solve the equations:
8x + 2y = 892/9
6x + 5y = 718/9 | 8x + 2y = 892/9
6x + 5y = 718/9
Using elimination
6*(8x + 2y = 892/9)
8*(6x + 5y = 718/9)
48x + 12y = 1784/3
48x + 40y = 5744/9
Subtract equations
-28y = -392/9
y = -392/9/-28
y = 14/9
Substitute y
8x + 2(14/9) = 892/9
8x = 96
x = 96/8
x = 12 |
Solve x^3 - 233/72x^2 + 1379/648x + 5/18 = 0 | x^3 - 233/72x^2 + 1379/648x + 5/18 = 0
(x - 9/8)(x - 20/9)(x - -1/9) = 0
x - 9/8 = 0
x - 20/9 = 0
x - -1/9 = 0
x = 9/8
x = 20/9
x = -1/9 |
Solve x^3 - 775/36x^2 + 1777/36x - 76/3 = 0 | x^3 - 775/36x^2 + 1777/36x - 76/3 = 0
(x - 19)(x - 3/4)(x - 16/9) = 0
x - 19 = 0
x - 3/4 = 0
x - 16/9 = 0
x = 19
x = 3/4
x = 16/9 |
Solve the equation x^3 + 18/5x^2 - 1x - 18/5 = 0 | x^3 + 18/5x^2 - 1x - 18/5 = 0
(x - -1)(x - 1)(x - -18/5) = 0
x - -1 = 0
x - 1 = 0
x - -18/5 = 0
x = -1
x = 1
x = -18/5 |
Find x for 7x - 63/4 = 0 | 7x - 63/4 = 0
7x = 63/4
x = 63/4 / 7
x = 9/4 |
Solve the equations:
9x + 3y = -21
1x + 1y = -7 | 9x + 3y = -21
1x + 1y = -7
Using elimination
1*(9x + 3y = -21)
9*(1x + 1y = -7)
9x + 3y = -21
9x + 9y = -63
Subtract equations
-6y = 42
y = 42/-6
y = -7
Substitute y
9x + 3(-7) = -21
9x = 0
x = 0/9
x = 0 |
Solve the system:
5x + 2y = 53/63
8x + 1y = -23/63 | 5x + 2y = 53/63
8x + 1y = -23/63
Using elimination
8*(5x + 2y = 53/63)
5*(8x + 1y = -23/63)
40x + 16y = 424/63
40x + 5y = -115/63
Subtract equations
11y = 77/9
y = 77/9/11
y = 7/9
Substitute y
5x + 2(7/9) = 53/63
5x = -5/7
x = -5/7/5
x = -1/7 |
Solve the equations:
10x + 5y = 130/3
10x + 6y = 137/3 | 10x + 5y = 130/3
10x + 6y = 137/3
Using elimination
10*(10x + 5y = 130/3)
10*(10x + 6y = 137/3)
100x + 50y = 1300/3
100x + 60y = 1370/3
Subtract equations
-10y = -70/3
y = -70/3/-10
y = 7/3
Substitute y
10x + 5(7/3) = 130/3
10x = 95/3
x = 95/3/10
x = 19/6 |
Solve 1x = 0 | 1x = 0
1x = 0
x = 0 / 1
x = 0 |
Find x for 6x - 6 = 0 | 6x - 6 = 0
6x = 6
x = 6 / 6
x = 1 |
Compute the solution of x^2 + 35/6x + 13/2 = 0 | x^2 + 35/6x + 13/2 = 0
(x - -13/3)(x - -3/2) = 0
x - -13/3 = 0 or x - -3/2 = 0
x = -13/3
x = -3/2 |
Solve the equation 1x + 1 = 0 | 1x + 1 = 0
1x = -1
x = -1 / 1
x = -1 |
Find x for x^2 - 17/8x - 21/8 = 0 | x^2 - 17/8x - 21/8 = 0
(x - 3)(x - -7/8) = 0
x - 3 = 0 or x - -7/8 = 0
x = 3
x = -7/8 |
Find x for x^2 + 21/2x + 19/2 = 0 | x^2 + 21/2x + 19/2 = 0
(x - -19/2)(x - -1) = 0
x - -19/2 = 0 or x - -1 = 0
x = -19/2
x = -1 |
Find x for 9x - 9/10 = 0 | 9x - 9/10 = 0
9x = 9/10
x = 9/10 / 9
x = 1/10 |
Determine x in x^3 + 221/28x^2 - 16/7x - 80/7 = 0 | x^3 + 221/28x^2 - 16/7x - 80/7 = 0
(x - 5/4)(x - -8)(x - -8/7) = 0
x - 5/4 = 0
x - -8 = 0
x - -8/7 = 0
x = 5/4
x = -8
x = -8/7 |
What value of x satisfies x^2 - 9x + 45/4 = 0 | x^2 - 9x + 45/4 = 0
(x - 3/2)(x - 15/2) = 0
x - 3/2 = 0 or x - 15/2 = 0
x = 3/2
x = 15/2 |
Determine x in 5x + 90/7 = 0 | 5x + 90/7 = 0
5x = -90/7
x = -90/7 / 5
x = -18/7 |
Solve 1x = 0 | 1x = 0
1x = 0
x = 0 / 1
x = 0 |
What value of x satisfies x^2 + 53/30x - 133/30 = 0 | x^2 + 53/30x - 133/30 = 0
(x - 7/5)(x - -19/6) = 0
x - 7/5 = 0 or x - -19/6 = 0
x = 7/5
x = -19/6 |
Find the solution to x^3 + 136/15x^2 - 5x - 252/5 = 0 | x^3 + 136/15x^2 - 5x - 252/5 = 0
(x - -12/5)(x - -9)(x - 7/3) = 0
x - -12/5 = 0
x - -9 = 0
x - 7/3 = 0
x = -12/5
x = -9
x = 7/3 |
Solve simultaneously:
8x + 5y = -83/4
4x + 4y = -7 | 8x + 5y = -83/4
4x + 4y = -7
Using elimination
4*(8x + 5y = -83/4)
8*(4x + 4y = -7)
32x + 20y = -83
32x + 32y = -56
Subtract equations
-12y = -27
y = -27/-12
y = 9/4
Substitute y
8x + 5(9/4) = -83/4
8x = -32
x = -32/8
x = -4 |
Solve the system:
3x + 10y = 188/3
1x + 7y = 125/3 | 3x + 10y = 188/3
1x + 7y = 125/3
Using elimination
1*(3x + 10y = 188/3)
3*(1x + 7y = 125/3)
3x + 10y = 188/3
3x + 21y = 125
Subtract equations
-11y = -187/3
y = -187/3/-11
y = 17/3
Substitute y
3x + 10(17/3) = 188/3
3x = 6
x = 6/3
x = 2 |
Find x and y such that
3x + 2y = -16/3
2x + 2y = -44/9 | 3x + 2y = -16/3
2x + 2y = -44/9
Using elimination
2*(3x + 2y = -16/3)
3*(2x + 2y = -44/9)
6x + 4y = -32/3
6x + 6y = -44/3
Subtract equations
-2y = 4
y = 4/-2
y = -2
Substitute y
3x + 2(-2) = -16/3
3x = -4/3
x = -4/3/3
x = -4/9 |
Find x for x^3 + 35/3x^2 - 316/3x + 156 = 0 | x^3 + 35/3x^2 - 316/3x + 156 = 0
(x - 13/3)(x - -18)(x - 2) = 0
x - 13/3 = 0
x - -18 = 0
x - 2 = 0
x = 13/3
x = -18
x = 2 |
Find x in x^2 - 20/9x - 32/27 = 0 | x^2 - 20/9x - 32/27 = 0
(x - 8/3)(x - -4/9) = 0
x - 8/3 = 0 or x - -4/9 = 0
x = 8/3
x = -4/9 |
What value of x satisfies x^2 - 13/4x = 0 | x^2 - 13/4x = 0
(x - 0)(x - 13/4) = 0
x - 0 = 0 or x - 13/4 = 0
x = 0
x = 13/4 |
Find x for x^3 - 6x^2 + 11/4x = 0 | x^3 - 6x^2 + 11/4x = 0
(x - 11/2)(x - 1/2)(x - 0) = 0
x - 11/2 = 0
x - 1/2 = 0
x - 0 = 0
x = 11/2
x = 1/2
x = 0 |
Solve the equation x^2 - 61/36x + 5/9 = 0 | x^2 - 61/36x + 5/9 = 0
(x - 5/4)(x - 4/9) = 0
x - 5/4 = 0 or x - 4/9 = 0
x = 5/4
x = 4/9 |
What value of x satisfies x^2 - 9/16 = 0 | x^2 - 9/16 = 0
(x - -3/4)(x - 3/4) = 0
x - -3/4 = 0 or x - 3/4 = 0
x = -3/4
x = 3/4 |
Solve quickly: 6x - 33/5 = 0 | 6x - 33/5 = 0
6x = 33/5
x = 33/5 / 6
x = 11/10 |
Solve the equations:
6x + 3y = -347/15
3x + 7y = -1043/45 | 6x + 3y = -347/15
3x + 7y = -1043/45
Using elimination
3*(6x + 3y = -347/15)
6*(3x + 7y = -1043/45)
18x + 9y = -347/5
18x + 42y = -2086/15
Subtract equations
-33y = 209/3
y = 209/3/-33
y = -19/9
Substitute y
6x + 3(-19/9) = -347/15
6x = -84/5
x = -84/5/6
x = -14/5 |
Determine x in x^3 - 77/12x^2 - 229/2x - 855/4 = 0 | x^3 - 77/12x^2 - 229/2x - 855/4 = 0
(x - 15)(x - -19/3)(x - -9/4) = 0
x - 15 = 0
x - -19/3 = 0
x - -9/4 = 0
x = 15
x = -19/3
x = -9/4 |
Find the solution to x^3 + 31/3x^2 + 101/3x + 35 = 0 | x^3 + 31/3x^2 + 101/3x + 35 = 0
(x - -3)(x - -7/3)(x - -5) = 0
x - -3 = 0
x - -7/3 = 0
x - -5 = 0
x = -3
x = -7/3
x = -5 |
Find x in x^3 + 1/2x^2 - 4x - 2 = 0 | x^3 + 1/2x^2 - 4x - 2 = 0
(x - -2)(x - -1/2)(x - 2) = 0
x - -2 = 0
x - -1/2 = 0
x - 2 = 0
x = -2
x = -1/2
x = 2 |
Solve the equation x^3 + 11/9x^2 - 292/81x - 2240/729 = 0 | x^3 + 11/9x^2 - 292/81x - 2240/729 = 0
(x - -7/9)(x - -20/9)(x - 16/9) = 0
x - -7/9 = 0
x - -20/9 = 0
x - 16/9 = 0
x = -7/9
x = -20/9
x = 16/9 |
What value of x satisfies x^3 + 11/6x^2 - 1/2x - 1/3 = 0 | x^3 + 11/6x^2 - 1/2x - 1/3 = 0
(x - -2)(x - 1/2)(x - -1/3) = 0
x - -2 = 0
x - 1/2 = 0
x - -1/3 = 0
x = -2
x = 1/2
x = -1/3 |
Find x in 3x - 21/4 = 0 | 3x - 21/4 = 0
3x = 21/4
x = 21/4 / 3
x = 7/4 |
Find the solution to 10x + 4 = 0 | 10x + 4 = 0
10x = -4
x = -4 / 10
x = -2/5 |
Solve the system:
4x + 2y = -59/3
1x + 2y = -65/12 | 4x + 2y = -59/3
1x + 2y = -65/12
Using elimination
1*(4x + 2y = -59/3)
4*(1x + 2y = -65/12)
4x + 2y = -59/3
4x + 8y = -65/3
Subtract equations
-6y = 2
y = 2/-6
y = -1/3
Substitute y
4x + 2(-1/3) = -59/3
4x = -19
x = -19/4
x = -19/4 |
Find x and y such that
9x + 1y = 39/4
1x + 1y = 15/4 | 9x + 1y = 39/4
1x + 1y = 15/4
Using elimination
1*(9x + 1y = 39/4)
9*(1x + 1y = 15/4)
9x + 1y = 39/4
9x + 9y = 135/4
Subtract equations
-8y = -24
y = -24/-8
y = 3
Substitute y
9x + 1(3) = 39/4
9x = 27/4
x = 27/4/9
x = 3/4 |
What value of x satisfies 1x + 3 = 0 | 1x + 3 = 0
1x = -3
x = -3 / 1
x = -3 |
Determine x in x^2 - 61/5x + 144/5 = 0 | x^2 - 61/5x + 144/5 = 0
(x - 9)(x - 16/5) = 0
x - 9 = 0 or x - 16/5 = 0
x = 9
x = 16/5 |
Solve the equation x^3 + 28/15x^2 - 113/5x - 176/3 = 0 | x^3 + 28/15x^2 - 113/5x - 176/3 = 0
(x - 5)(x - -16/5)(x - -11/3) = 0
x - 5 = 0
x - -16/5 = 0
x - -11/3 = 0
x = 5
x = -16/5
x = -11/3 |
Solve the equation 9x - 9/2 = 0 | 9x - 9/2 = 0
9x = 9/2
x = 9/2 / 9
x = 1/2 |
Solve the system:
7x + 1y = 365/21
4x + 6y = 62/21 | 7x + 1y = 365/21
4x + 6y = 62/21
Using elimination
4*(7x + 1y = 365/21)
7*(4x + 6y = 62/21)
28x + 4y = 1460/21
28x + 42y = 62/3
Subtract equations
-38y = 342/7
y = 342/7/-38
y = -9/7
Substitute y
7x + 1(-9/7) = 365/21
7x = 56/3
x = 56/3/7
x = 8/3 |
Solve the equation x^2 + 19x = 0 | x^2 + 19x = 0
(x - 0)(x - -19) = 0
x - 0 = 0 or x - -19 = 0
x = 0
x = -19 |
Solve 5x + 10 = 0 | 5x + 10 = 0
5x = -10
x = -10 / 5
x = -2 |
Solve the system:
5x + 3y = -563/9
2x + 8y = -1388/9 | 5x + 3y = -563/9
2x + 8y = -1388/9
Using elimination
2*(5x + 3y = -563/9)
5*(2x + 8y = -1388/9)
10x + 6y = -1126/9
10x + 40y = -6940/9
Subtract equations
-34y = 646
y = 646/-34
y = -19
Substitute y
5x + 3(-19) = -563/9
5x = -50/9
x = -50/9/5
x = -10/9 |
Find x in x^3 - 3/2x^2 - 49x - 24 = 0 | x^3 - 3/2x^2 - 49x - 24 = 0
(x - 8)(x - -1/2)(x - -6) = 0
x - 8 = 0
x - -1/2 = 0
x - -6 = 0
x = 8
x = -1/2
x = -6 |
Solve simultaneously:
1x + 8y = 277/20
2x + 3y = -9/10 | 1x + 8y = 277/20
2x + 3y = -9/10
Using elimination
2*(1x + 8y = 277/20)
1*(2x + 3y = -9/10)
2x + 16y = 277/10
2x + 3y = -9/10
Subtract equations
13y = 143/5
y = 143/5/13
y = 11/5
Substitute y
1x + 8(11/5) = 277/20
1x = -15/4
x = -15/4/1
x = -15/4 |
Find the solution to x^3 - 9/2x^2 - 89/18x + 110/9 = 0 | x^3 - 9/2x^2 - 89/18x + 110/9 = 0
(x - 5)(x - -11/6)(x - 4/3) = 0
x - 5 = 0
x - -11/6 = 0
x - 4/3 = 0
x = 5
x = -11/6
x = 4/3 |
Find x and y such that
2x + 2y = -11/6
10x + 9y = -113/12 | 2x + 2y = -11/6
10x + 9y = -113/12
Using elimination
10*(2x + 2y = -11/6)
2*(10x + 9y = -113/12)
20x + 20y = -55/3
20x + 18y = -113/6
Subtract equations
2y = 1/2
y = 1/2/2
y = 1/4
Substitute y
2x + 2(1/4) = -11/6
2x = -7/3
x = -7/3/2
x = -7/6 |
Determine x in 3x + 39/10 = 0 | 3x + 39/10 = 0
3x = -39/10
x = -39/10 / 3
x = -13/10 |
Solve simultaneously:
5x + 5y = -35/6
10x + 5y = -35/3 | 5x + 5y = -35/6
10x + 5y = -35/3
Using elimination
10*(5x + 5y = -35/6)
5*(10x + 5y = -35/3)
50x + 50y = -175/3
50x + 25y = -175/3
Subtract equations
25y = 0
y = 0/25
y = 0
Substitute y
5x + 5(0) = -35/6
5x = -35/6
x = -35/6/5
x = -7/6 |
Find x for x^2 + 47/9x + 104/27 = 0 | x^2 + 47/9x + 104/27 = 0
(x - -8/9)(x - -13/3) = 0
x - -8/9 = 0 or x - -13/3 = 0
x = -8/9
x = -13/3 |
Determine x in x^2 - 63/20x - 187/40 = 0 | x^2 - 63/20x - 187/40 = 0
(x - 17/4)(x - -11/10) = 0
x - 17/4 = 0 or x - -11/10 = 0
x = 17/4
x = -11/10 |
Find the solution to x^3 + 11/14x^2 - 51/14x - 27/7 = 0 | x^3 + 11/14x^2 - 51/14x - 27/7 = 0
(x - 2)(x - -3/2)(x - -9/7) = 0
x - 2 = 0
x - -3/2 = 0
x - -9/7 = 0
x = 2
x = -3/2
x = -9/7 |
Compute the solution of x^2 + 10/3x + 1 = 0 | x^2 + 10/3x + 1 = 0
(x - -3)(x - -1/3) = 0
x - -3 = 0 or x - -1/3 = 0
x = -3
x = -1/3 |
Find x and y such that
4x + 9y = -325/21
4x + 5y = -193/21 | 4x + 9y = -325/21
4x + 5y = -193/21
Using elimination
4*(4x + 9y = -325/21)
4*(4x + 5y = -193/21)
16x + 36y = -1300/21
16x + 20y = -772/21
Subtract equations
16y = -176/7
y = -176/7/16
y = -11/7
Substitute y
4x + 9(-11/7) = -325/21
4x = -4/3
x = -4/3/4
x = -1/3 |
Solve x^3 + 947/56x^2 - 13/8x - 51/28 = 0 | x^3 + 947/56x^2 - 13/8x - 51/28 = 0
(x - -2/7)(x - -17)(x - 3/8) = 0
x - -2/7 = 0
x - -17 = 0
x - 3/8 = 0
x = -2/7
x = -17
x = 3/8 |
Find x for 7x + 14 = 0 | 7x + 14 = 0
7x = -14
x = -14 / 7
x = -2 |
Solve simultaneously:
9x + 8y = 1101/35
2x + 3y = 296/35 | 9x + 8y = 1101/35
2x + 3y = 296/35
Using elimination
2*(9x + 8y = 1101/35)
9*(2x + 3y = 296/35)
18x + 16y = 2202/35
18x + 27y = 2664/35
Subtract equations
-11y = -66/5
y = -66/5/-11
y = 6/5
Substitute y
9x + 8(6/5) = 1101/35
9x = 153/7
x = 153/7/9
x = 17/7 |
Solve simultaneously:
9x + 5y = 61/7
8x + 4y = 484/63 | 9x + 5y = 61/7
8x + 4y = 484/63
Using elimination
8*(9x + 5y = 61/7)
9*(8x + 4y = 484/63)
72x + 40y = 488/7
72x + 36y = 484/7
Subtract equations
4y = 4/7
y = 4/7/4
y = 1/7
Substitute y
9x + 5(1/7) = 61/7
9x = 8
x = 8/9
x = 8/9 |
Find x for 7x + 56/5 = 0 | 7x + 56/5 = 0
7x = -56/5
x = -56/5 / 7
x = -8/5 |
Solve the equations:
9x + 8y = 43/14
5x + 2y = 13/42 | 9x + 8y = 43/14
5x + 2y = 13/42
Using elimination
5*(9x + 8y = 43/14)
9*(5x + 2y = 13/42)
45x + 40y = 215/14
45x + 18y = 39/14
Subtract equations
22y = 88/7
y = 88/7/22
y = 4/7
Substitute y
9x + 8(4/7) = 43/14
9x = -3/2
x = -3/2/9
x = -1/6 |
Find x in 3x + 9/8 = 0 | 3x + 9/8 = 0
3x = -9/8
x = -9/8 / 3
x = -3/8 |
Solve the equation 9x - 45/2 = 0 | 9x - 45/2 = 0
9x = 45/2
x = 45/2 / 9
x = 5/2 |
What value of x satisfies 9x - 12 = 0 | 9x - 12 = 0
9x = 12
x = 12 / 9
x = 4/3 |
Find x for x^3 + 10/9x^2 - 23/81x - 44/243 = 0 | x^3 + 10/9x^2 - 23/81x - 44/243 = 0
(x - -1/3)(x - 4/9)(x - -11/9) = 0
x - -1/3 = 0
x - 4/9 = 0
x - -11/9 = 0
x = -1/3
x = 4/9
x = -11/9 |
Find x for 7x + 56/5 = 0 | 7x + 56/5 = 0
7x = -56/5
x = -56/5 / 7
x = -8/5 |
Find x for x^3 + 11/6x^2 + 1/2x = 0 | x^3 + 11/6x^2 + 1/2x = 0
(x - -3/2)(x - 0)(x - -1/3) = 0
x - -3/2 = 0
x - 0 = 0
x - -1/3 = 0
x = -3/2
x = 0
x = -1/3 |
What value of x satisfies x^2 - 137/14x + 19/7 = 0 | x^2 - 137/14x + 19/7 = 0
(x - 2/7)(x - 19/2) = 0
x - 2/7 = 0 or x - 19/2 = 0
x = 2/7
x = 19/2 |
Solve the system:
7x + 10y = -44
7x + 6y = -46 | 7x + 10y = -44
7x + 6y = -46
Using elimination
7*(7x + 10y = -44)
7*(7x + 6y = -46)
49x + 70y = -308
49x + 42y = -322
Subtract equations
28y = 14
y = 14/28
y = 1/2
Substitute y
7x + 10(1/2) = -44
7x = -49
x = -49/7
x = -7 |
Solve x^3 - 2x^2 - 20x - 24 = 0 | x^3 - 2x^2 - 20x - 24 = 0
(x - -2)(x - -2)(x - 6) = 0
x - -2 = 0
x - -2 = 0
x - 6 = 0
x = -2
x = -2
x = 6 |
Determine x in x^2 - 4x + 32/9 = 0 | x^2 - 4x + 32/9 = 0
(x - 8/3)(x - 4/3) = 0
x - 8/3 = 0 or x - 4/3 = 0
x = 8/3
x = 4/3 |
Find the solution to 5x - 9/2 = 0 | 5x - 9/2 = 0
5x = 9/2
x = 9/2 / 5
x = 9/10 |
Compute the solution of 1x + 10 = 0 | 1x + 10 = 0
1x = -10
x = -10 / 1
x = -10 |
Find x for 6x + 30 = 0 | 6x + 30 = 0
6x = -30
x = -30 / 6
x = -5 |
Find x for x^2 - 67/63x - 80/63 = 0 | x^2 - 67/63x - 80/63 = 0
(x - 16/9)(x - -5/7) = 0
x - 16/9 = 0 or x - -5/7 = 0
x = 16/9
x = -5/7 |
Solve the equations:
9x + 1y = -142
3x + 3y = -18 | 9x + 1y = -142
3x + 3y = -18
Using elimination
3*(9x + 1y = -142)
9*(3x + 3y = -18)
27x + 3y = -426
27x + 27y = -162
Subtract equations
-24y = -264
y = -264/-24
y = 11
Substitute y
9x + 1(11) = -142
9x = -153
x = -153/9
x = -17 |
Solve the equations:
9x + 10y = 119/5
9x + 8y = 203/10 | 9x + 10y = 119/5
9x + 8y = 203/10
Using elimination
9*(9x + 10y = 119/5)
9*(9x + 8y = 203/10)
81x + 90y = 1071/5
81x + 72y = 1827/10
Subtract equations
18y = 63/2
y = 63/2/18
y = 7/4
Substitute y
9x + 10(7/4) = 119/5
9x = 63/10
x = 63/10/9
x = 7/10 |
What value of x satisfies x^2 + 6x - 160 = 0 | x^2 + 6x - 160 = 0
(x - 10)(x - -16) = 0
x - 10 = 0 or x - -16 = 0
x = 10
x = -16 |
Solve the equation 2x - 14 = 0 | 2x - 14 = 0
2x = 14
x = 14 / 2
x = 7 |
Solve the system:
9x + 1y = 35/4
10x + 8y = -77/2 | 9x + 1y = 35/4
10x + 8y = -77/2
Using elimination
10*(9x + 1y = 35/4)
9*(10x + 8y = -77/2)
90x + 10y = 175/2
90x + 72y = -693/2
Subtract equations
-62y = 434
y = 434/-62
y = -7
Substitute y
9x + 1(-7) = 35/4
9x = 63/4
x = 63/4/9
x = 7/4 |
Find the solution to x^3 - 37/7x^2 - 50/49x + 600/49 = 0 | x^3 - 37/7x^2 - 50/49x + 600/49 = 0
(x - 12/7)(x - 5)(x - -10/7) = 0
x - 12/7 = 0
x - 5 = 0
x - -10/7 = 0
x = 12/7
x = 5
x = -10/7 |
Solve the system:
9x + 9y = -195/4
2x + 8y = -118/3 | 9x + 9y = -195/4
2x + 8y = -118/3
Using elimination
2*(9x + 9y = -195/4)
9*(2x + 8y = -118/3)
18x + 18y = -195/2
18x + 72y = -354
Subtract equations
-54y = 513/2
y = 513/2/-54
y = -19/4
Substitute y
9x + 9(-19/4) = -195/4
9x = -6
x = -6/9
x = -2/3 |
Solve the equation x^2 - 38/15x - 32/15 = 0 | x^2 - 38/15x - 32/15 = 0
(x - 16/5)(x - -2/3) = 0
x - 16/5 = 0 or x - -2/3 = 0
x = 16/5
x = -2/3 |
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