input stringlengths 13 66 | output stringlengths 30 276 |
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Find x and y such that
1x + 2y = -22/9
2x + 3y = -17/3 | 1x + 2y = -22/9
2x + 3y = -17/3
Using elimination
2*(1x + 2y = -22/9)
1*(2x + 3y = -17/3)
2x + 4y = -44/9
2x + 3y = -17/3
Subtract equations
1y = 7/9
y = 7/9/1
y = 7/9
Substitute y
1x + 2(7/9) = -22/9
1x = -4
x = -4/1
x = -4 |
Solve quickly: x^2 - 31/7x - 20/7 = 0 | x^2 - 31/7x - 20/7 = 0
(x - -4/7)(x - 5) = 0
x - -4/7 = 0 or x - 5 = 0
x = -4/7
x = 5 |
Find x and y such that
2x + 7y = 27
5x + 9y = 328/7 | 2x + 7y = 27
5x + 9y = 328/7
Using elimination
5*(2x + 7y = 27)
2*(5x + 9y = 328/7)
10x + 35y = 135
10x + 18y = 656/7
Subtract equations
17y = 289/7
y = 289/7/17
y = 17/7
Substitute y
2x + 7(17/7) = 27
2x = 10
x = 10/2
x = 5 |
Find the solution to 1x - 15/4 = 0 | 1x - 15/4 = 0
1x = 15/4
x = 15/4 / 1
x = 15/4 |
Solve the system:
8x + 2y = -25/3
4x + 9y = -11/2 | 8x + 2y = -25/3
4x + 9y = -11/2
Using elimination
4*(8x + 2y = -25/3)
8*(4x + 9y = -11/2)
32x + 8y = -100/3
32x + 72y = -44
Subtract equations
-64y = 32/3
y = 32/3/-64
y = -1/6
Substitute y
8x + 2(-1/6) = -25/3
8x = -8
x = -8/8
x = -1 |
Solve the system:
2x + 5y = -22
10x + 1y = -118/5 | 2x + 5y = -22
10x + 1y = -118/5
Using elimination
10*(2x + 5y = -22)
2*(10x + 1y = -118/5)
20x + 50y = -220
20x + 2y = -236/5
Subtract equations
48y = -864/5
y = -864/5/48
y = -18/5
Substitute y
2x + 5(-18/5) = -22
2x = -4
x = -4/2
x = -2 |
What value of x satisfies x^2 + 23/8x + 15/8 = 0 | x^2 + 23/8x + 15/8 = 0
(x - -15/8)(x - -1) = 0
x - -15/8 = 0 or x - -1 = 0
x = -15/8
x = -1 |
Solve the equation x^2 - 29/10x - 24/25 = 0 | x^2 - 29/10x - 24/25 = 0
(x - -3/10)(x - 16/5) = 0
x - -3/10 = 0 or x - 16/5 = 0
x = -3/10
x = 16/5 |
Find x and y such that
7x + 2y = -218/15
7x + 4y = -296/15 | 7x + 2y = -218/15
7x + 4y = -296/15
Using elimination
7*(7x + 2y = -218/15)
7*(7x + 4y = -296/15)
49x + 14y = -1526/15
49x + 28y = -2072/15
Subtract equations
-14y = 182/5
y = 182/5/-14
y = -13/5
Substitute y
7x + 2(-13/5) = -218/15
7x = -28/3
x = -28/3/7
x = -4/3 |
What value of x satisfies x^3 - 79/8x^2 + 15x = 0 | x^3 - 79/8x^2 + 15x = 0
(x - 15/8)(x - 8)(x - 0) = 0
x - 15/8 = 0
x - 8 = 0
x - 0 = 0
x = 15/8
x = 8
x = 0 |
Compute the solution of 7x + 28/3 = 0 | 7x + 28/3 = 0
7x = -28/3
x = -28/3 / 7
x = -4/3 |
Solve the equation x^2 + 83/20x + 117/40 = 0 | x^2 + 83/20x + 117/40 = 0
(x - -9/10)(x - -13/4) = 0
x - -9/10 = 0 or x - -13/4 = 0
x = -9/10
x = -13/4 |
Solve quickly: x^3 + 17/12x^2 - 25/4x - 9/2 = 0 | x^3 + 17/12x^2 - 25/4x - 9/2 = 0
(x - -2/3)(x - 9/4)(x - -3) = 0
x - -2/3 = 0
x - 9/4 = 0
x - -3 = 0
x = -2/3
x = 9/4
x = -3 |
What value of x satisfies x^3 - 1081/72x^2 + 515/36x - 14/9 = 0 | x^3 - 1081/72x^2 + 515/36x - 14/9 = 0
(x - 8/9)(x - 1/8)(x - 14) = 0
x - 8/9 = 0
x - 1/8 = 0
x - 14 = 0
x = 8/9
x = 1/8
x = 14 |
Solve the equation x^2 - 1/4 = 0 | x^2 - 1/4 = 0
(x - 1/2)(x - -1/2) = 0
x - 1/2 = 0 or x - -1/2 = 0
x = 1/2
x = -1/2 |
Solve the equations:
9x + 1y = -8
2x + 3y = -491/9 | 9x + 1y = -8
2x + 3y = -491/9
Using elimination
2*(9x + 1y = -8)
9*(2x + 3y = -491/9)
18x + 2y = -16
18x + 27y = -491
Subtract equations
-25y = 475
y = 475/-25
y = -19
Substitute y
9x + 1(-19) = -8
9x = 11
x = 11/9
x = 11/9 |
What value of x satisfies x^2 + 63/4x + 45/4 = 0 | x^2 + 63/4x + 45/4 = 0
(x - -3/4)(x - -15) = 0
x - -3/4 = 0 or x - -15 = 0
x = -3/4
x = -15 |
Find x for x^2 - 7/18x - 4/9 = 0 | x^2 - 7/18x - 4/9 = 0
(x - 8/9)(x - -1/2) = 0
x - 8/9 = 0 or x - -1/2 = 0
x = 8/9
x = -1/2 |
Find x for x^3 + 155/18x^2 - 1453/9x + 136 = 0 | x^3 + 155/18x^2 - 1453/9x + 136 = 0
(x - 17/2)(x - -18)(x - 8/9) = 0
x - 17/2 = 0
x - -18 = 0
x - 8/9 = 0
x = 17/2
x = -18
x = 8/9 |
Solve x^3 + 7/10x^2 - 11/25x = 0 | x^3 + 7/10x^2 - 11/25x = 0
(x - 0)(x - 2/5)(x - -11/10) = 0
x - 0 = 0
x - 2/5 = 0
x - -11/10 = 0
x = 0
x = 2/5
x = -11/10 |
Find x for x^3 - 35/9x^2 - 379/27x - 247/27 = 0 | x^3 - 35/9x^2 - 379/27x - 247/27 = 0
(x - -13/9)(x - 19/3)(x - -1) = 0
x - -13/9 = 0
x - 19/3 = 0
x - -1 = 0
x = -13/9
x = 19/3
x = -1 |
Compute the solution of x^3 + 281/30x^2 + 811/30x + 119/5 = 0 | x^3 + 281/30x^2 + 811/30x + 119/5 = 0
(x - -14/3)(x - -17/10)(x - -3) = 0
x - -14/3 = 0
x - -17/10 = 0
x - -3 = 0
x = -14/3
x = -17/10
x = -3 |
Find x for 10x - 110 = 0 | 10x - 110 = 0
10x = 110
x = 110 / 10
x = 11 |
Compute the solution of x^2 - 10/3x = 0 | x^2 - 10/3x = 0
(x - 10/3)(x - 0) = 0
x - 10/3 = 0 or x - 0 = 0
x = 10/3
x = 0 |
Solve the equation 4x = 0 | 4x = 0
4x = 0
x = 0 / 4
x = 0 |
Solve 9x + 27/2 = 0 | 9x + 27/2 = 0
9x = -27/2
x = -27/2 / 9
x = -3/2 |
Solve quickly: x^2 + 8x - 180 = 0 | x^2 + 8x - 180 = 0
(x - 10)(x - -18) = 0
x - 10 = 0 or x - -18 = 0
x = 10
x = -18 |
Solve 8x - 72 = 0 | 8x - 72 = 0
8x = 72
x = 72 / 8
x = 9 |
What value of x satisfies x^3 + 249/70x^2 + 1233/490x - 54/49 = 0 | x^3 + 249/70x^2 + 1233/490x - 54/49 = 0
(x - -12/7)(x - -15/7)(x - 3/10) = 0
x - -12/7 = 0
x - -15/7 = 0
x - 3/10 = 0
x = -12/7
x = -15/7
x = 3/10 |
Solve the equations:
1x + 4y = -19/7
9x + 5y = -33/28 | 1x + 4y = -19/7
9x + 5y = -33/28
Using elimination
9*(1x + 4y = -19/7)
1*(9x + 5y = -33/28)
9x + 36y = -171/7
9x + 5y = -33/28
Subtract equations
31y = -93/4
y = -93/4/31
y = -3/4
Substitute y
1x + 4(-3/4) = -19/7
1x = 2/7
x = 2/7/1
x = 2/7 |
Find x for x^2 - 43/18x + 17/18 = 0 | x^2 - 43/18x + 17/18 = 0
(x - 17/9)(x - 1/2) = 0
x - 17/9 = 0 or x - 1/2 = 0
x = 17/9
x = 1/2 |
Find x for x^2 + 67/24x - 19/16 = 0 | x^2 + 67/24x - 19/16 = 0
(x - 3/8)(x - -19/6) = 0
x - 3/8 = 0 or x - -19/6 = 0
x = 3/8
x = -19/6 |
Solve the equations:
8x + 5y = -255/7
4x + 6y = -250/7 | 8x + 5y = -255/7
4x + 6y = -250/7
Using elimination
4*(8x + 5y = -255/7)
8*(4x + 6y = -250/7)
32x + 20y = -1020/7
32x + 48y = -2000/7
Subtract equations
-28y = 140
y = 140/-28
y = -5
Substitute y
8x + 5(-5) = -255/7
8x = -80/7
x = -80/7/8
x = -10/7 |
Solve x^3 + 69/5x^2 + 27x - 209/5 = 0 | x^3 + 69/5x^2 + 27x - 209/5 = 0
(x - -11)(x - -19/5)(x - 1) = 0
x - -11 = 0
x - -19/5 = 0
x - 1 = 0
x = -11
x = -19/5
x = 1 |
Compute the solution of 7x - 49/3 = 0 | 7x - 49/3 = 0
7x = 49/3
x = 49/3 / 7
x = 7/3 |
Find x for 9x + 13 = 0 | 9x + 13 = 0
9x = -13
x = -13 / 9
x = -13/9 |
Solve 5x + 65/2 = 0 | 5x + 65/2 = 0
5x = -65/2
x = -65/2 / 5
x = -13/2 |
Solve the equations:
2x + 2y = -3
7x + 4y = -9 | 2x + 2y = -3
7x + 4y = -9
Using elimination
7*(2x + 2y = -3)
2*(7x + 4y = -9)
14x + 14y = -21
14x + 8y = -18
Subtract equations
6y = -3
y = -3/6
y = -1/2
Substitute y
2x + 2(-1/2) = -3
2x = -2
x = -2/2
x = -1 |
Find x in x^3 + 16/21x^2 - 5/63x - 2/21 = 0 | x^3 + 16/21x^2 - 5/63x - 2/21 = 0
(x - 1/3)(x - -2/3)(x - -3/7) = 0
x - 1/3 = 0
x - -2/3 = 0
x - -3/7 = 0
x = 1/3
x = -2/3
x = -3/7 |
Determine x in 6x - 18 = 0 | 6x - 18 = 0
6x = 18
x = 18 / 6
x = 3 |
Solve the equations:
10x + 3y = 259/5
10x + 7y = 271/5 | 10x + 3y = 259/5
10x + 7y = 271/5
Using elimination
10*(10x + 3y = 259/5)
10*(10x + 7y = 271/5)
100x + 30y = 518
100x + 70y = 542
Subtract equations
-40y = -24
y = -24/-40
y = 3/5
Substitute y
10x + 3(3/5) = 259/5
10x = 50
x = 50/10
x = 5 |
Find x in 5x + 5 = 0 | 5x + 5 = 0
5x = -5
x = -5 / 5
x = -1 |
What value of x satisfies x^3 + 18/5x^2 - 273/25x - 98/5 = 0 | x^3 + 18/5x^2 - 273/25x - 98/5 = 0
(x - -5)(x - -7/5)(x - 14/5) = 0
x - -5 = 0
x - -7/5 = 0
x - 14/5 = 0
x = -5
x = -7/5
x = 14/5 |
Determine x in 4x - 6 = 0 | 4x - 6 = 0
4x = 6
x = 6 / 4
x = 3/2 |
Solve the equations:
5x + 2y = -32
10x + 2y = -32 | 5x + 2y = -32
10x + 2y = -32
Using elimination
10*(5x + 2y = -32)
5*(10x + 2y = -32)
50x + 20y = -320
50x + 10y = -160
Subtract equations
10y = -160
y = -160/10
y = -16
Substitute y
5x + 2(-16) = -32
5x = 0
x = 0/5
x = 0 |
Solve the system:
6x + 7y = -125/3
2x + 7y = -65/3 | 6x + 7y = -125/3
2x + 7y = -65/3
Using elimination
2*(6x + 7y = -125/3)
6*(2x + 7y = -65/3)
12x + 14y = -250/3
12x + 42y = -130
Subtract equations
-28y = 140/3
y = 140/3/-28
y = -5/3
Substitute y
6x + 7(-5/3) = -125/3
6x = -30
x = -30/6
x = -5 |
Compute the solution of x^2 + 3/4x - 5/2 = 0 | x^2 + 3/4x - 5/2 = 0
(x - -2)(x - 5/4) = 0
x - -2 = 0 or x - 5/4 = 0
x = -2
x = 5/4 |
Determine x in x^3 + 7/4x^2 + 21/25x + 27/400 = 0 | x^3 + 7/4x^2 + 21/25x + 27/400 = 0
(x - -1/10)(x - -9/10)(x - -3/4) = 0
x - -1/10 = 0
x - -9/10 = 0
x - -3/4 = 0
x = -1/10
x = -9/10
x = -3/4 |
Find x in x^2 + 31/15x + 14/15 = 0 | x^2 + 31/15x + 14/15 = 0
(x - -2/3)(x - -7/5) = 0
x - -2/3 = 0 or x - -7/5 = 0
x = -2/3
x = -7/5 |
Compute the solution of x^3 + 26/45x^2 - 4009/405x + 722/81 = 0 | x^3 + 26/45x^2 - 4009/405x + 722/81 = 0
(x - 10/9)(x - 19/9)(x - -19/5) = 0
x - 10/9 = 0
x - 19/9 = 0
x - -19/5 = 0
x = 10/9
x = 19/9
x = -19/5 |
Determine x in 9x + 6 = 0 | 9x + 6 = 0
9x = -6
x = -6 / 9
x = -2/3 |
Solve the equation x^3 - 24/35x^2 - 43/28x + 33/70 = 0 | x^3 - 24/35x^2 - 43/28x + 33/70 = 0
(x - 2/7)(x - -11/10)(x - 3/2) = 0
x - 2/7 = 0
x - -11/10 = 0
x - 3/2 = 0
x = 2/7
x = -11/10
x = 3/2 |
Find the solution to 3x - 12 = 0 | 3x - 12 = 0
3x = 12
x = 12 / 3
x = 4 |
Solve the equation x^2 + 61/18x + 17/6 = 0 | x^2 + 61/18x + 17/6 = 0
(x - -17/9)(x - -3/2) = 0
x - -17/9 = 0 or x - -3/2 = 0
x = -17/9
x = -3/2 |
What value of x satisfies x^2 - 11/5x + 2/5 = 0 | x^2 - 11/5x + 2/5 = 0
(x - 2)(x - 1/5) = 0
x - 2 = 0 or x - 1/5 = 0
x = 2
x = 1/5 |
Solve the system:
2x + 7y = 41
5x + 2y = 131/4 | 2x + 7y = 41
5x + 2y = 131/4
Using elimination
5*(2x + 7y = 41)
2*(5x + 2y = 131/4)
10x + 35y = 205
10x + 4y = 131/2
Subtract equations
31y = 279/2
y = 279/2/31
y = 9/2
Substitute y
2x + 7(9/2) = 41
2x = 19/2
x = 19/2/2
x = 19/4 |
Solve the equation x^2 + 29/9x - 44/27 = 0 | x^2 + 29/9x - 44/27 = 0
(x - -11/3)(x - 4/9) = 0
x - -11/3 = 0 or x - 4/9 = 0
x = -11/3
x = 4/9 |
Solve quickly: x^2 + 27/14x + 5/7 = 0 | x^2 + 27/14x + 5/7 = 0
(x - -1/2)(x - -10/7) = 0
x - -1/2 = 0 or x - -10/7 = 0
x = -1/2
x = -10/7 |
Determine x in 4x - 8 = 0 | 4x - 8 = 0
4x = 8
x = 8 / 4
x = 2 |
Solve x^3 - 107/63x^2 + 106/189x + 16/189 = 0 | x^3 - 107/63x^2 + 106/189x + 16/189 = 0
(x - 8/7)(x - -1/9)(x - 2/3) = 0
x - 8/7 = 0
x - -1/9 = 0
x - 2/3 = 0
x = 8/7
x = -1/9
x = 2/3 |
Solve x^2 - 1x - 42 = 0 | x^2 - 1x - 42 = 0
(x - -6)(x - 7) = 0
x - -6 = 0 or x - 7 = 0
x = -6
x = 7 |
Find x for 9x = 0 | 9x = 0
9x = 0
x = 0 / 9
x = 0 |
Determine x in x^2 + 97/5x - 12 = 0 | x^2 + 97/5x - 12 = 0
(x - -20)(x - 3/5) = 0
x - -20 = 0 or x - 3/5 = 0
x = -20
x = 3/5 |
Solve x^2 - 79/45x + 2/3 = 0 | x^2 - 79/45x + 2/3 = 0
(x - 5/9)(x - 6/5) = 0
x - 5/9 = 0 or x - 6/5 = 0
x = 5/9
x = 6/5 |
Find x and y such that
4x + 5y = -1/5
1x + 2y = 11/5 | 4x + 5y = -1/5
1x + 2y = 11/5
Using elimination
1*(4x + 5y = -1/5)
4*(1x + 2y = 11/5)
4x + 5y = -1/5
4x + 8y = 44/5
Subtract equations
-3y = -9
y = -9/-3
y = 3
Substitute y
4x + 5(3) = -1/5
4x = -76/5
x = -76/5/4
x = -19/5 |
Solve the equation 9x - 18 = 0 | 9x - 18 = 0
9x = 18
x = 18 / 9
x = 2 |
Solve x^3 - 1555/72x^2 + 275/9x + 250/9 = 0 | x^3 - 1555/72x^2 + 275/9x + 250/9 = 0
(x - 20/9)(x - -5/8)(x - 20) = 0
x - 20/9 = 0
x - -5/8 = 0
x - 20 = 0
x = 20/9
x = -5/8
x = 20 |
Find the solution to x^3 - 113/20x^2 - 133/10x + 539/20 = 0 | x^3 - 113/20x^2 - 133/10x + 539/20 = 0
(x - -11/4)(x - 7/5)(x - 7) = 0
x - -11/4 = 0
x - 7/5 = 0
x - 7 = 0
x = -11/4
x = 7/5
x = 7 |
Find x in x^2 + 11/8x - 5/4 = 0 | x^2 + 11/8x - 5/4 = 0
(x - 5/8)(x - -2) = 0
x - 5/8 = 0 or x - -2 = 0
x = 5/8
x = -2 |
Solve the system:
1x + 7y = -103/10
1x + 4y = -32/5 | 1x + 7y = -103/10
1x + 4y = -32/5
Using elimination
1*(1x + 7y = -103/10)
1*(1x + 4y = -32/5)
1x + 7y = -103/10
1x + 4y = -32/5
Subtract equations
3y = -39/10
y = -39/10/3
y = -13/10
Substitute y
1x + 7(-13/10) = -103/10
1x = -6/5
x = -6/5/1
x = -6/5 |
Find the solution to x^3 + 17/6x^2 - 99/16x + 65/48 = 0 | x^3 + 17/6x^2 - 99/16x + 65/48 = 0
(x - 5/4)(x - 1/4)(x - -13/3) = 0
x - 5/4 = 0
x - 1/4 = 0
x - -13/3 = 0
x = 5/4
x = 1/4
x = -13/3 |
Solve the equations:
10x + 1y = 361/9
4x + 3y = 49/3 | 10x + 1y = 361/9
4x + 3y = 49/3
Using elimination
4*(10x + 1y = 361/9)
10*(4x + 3y = 49/3)
40x + 4y = 1444/9
40x + 30y = 490/3
Subtract equations
-26y = -26/9
y = -26/9/-26
y = 1/9
Substitute y
10x + 1(1/9) = 361/9
10x = 40
x = 40/10
x = 4 |
Find x for x^3 + 39/10x^2 + 19/20x - 63/40 = 0 | x^3 + 39/10x^2 + 19/20x - 63/40 = 0
(x - -7/2)(x - 1/2)(x - -9/10) = 0
x - -7/2 = 0
x - 1/2 = 0
x - -9/10 = 0
x = -7/2
x = 1/2
x = -9/10 |
Find x for x^3 - 12x^2 + 41x - 42 = 0 | x^3 - 12x^2 + 41x - 42 = 0
(x - 3)(x - 7)(x - 2) = 0
x - 3 = 0
x - 7 = 0
x - 2 = 0
x = 3
x = 7
x = 2 |
What value of x satisfies x^2 - 13/4x + 21/8 = 0 | x^2 - 13/4x + 21/8 = 0
(x - 3/2)(x - 7/4) = 0
x - 3/2 = 0 or x - 7/4 = 0
x = 3/2
x = 7/4 |
Find x in x^3 + 179/36x^2 - 7/36x - 5/18 = 0 | x^3 + 179/36x^2 - 7/36x - 5/18 = 0
(x - -5)(x - -2/9)(x - 1/4) = 0
x - -5 = 0
x - -2/9 = 0
x - 1/4 = 0
x = -5
x = -2/9
x = 1/4 |
Solve the system:
10x + 9y = 60
10x + 5y = 36 | 10x + 9y = 60
10x + 5y = 36
Using elimination
10*(10x + 9y = 60)
10*(10x + 5y = 36)
100x + 90y = 600
100x + 50y = 360
Subtract equations
40y = 240
y = 240/40
y = 6
Substitute y
10x + 9(6) = 60
10x = 6
x = 6/10
x = 3/5 |
Solve the system:
6x + 10y = 62
3x + 6y = 38 | 6x + 10y = 62
3x + 6y = 38
Using elimination
3*(6x + 10y = 62)
6*(3x + 6y = 38)
18x + 30y = 186
18x + 36y = 228
Subtract equations
-6y = -42
y = -42/-6
y = 7
Substitute y
6x + 10(7) = 62
6x = -8
x = -8/6
x = -4/3 |
What value of x satisfies x^2 + 9/2x + 85/18 = 0 | x^2 + 9/2x + 85/18 = 0
(x - -17/6)(x - -5/3) = 0
x - -17/6 = 0 or x - -5/3 = 0
x = -17/6
x = -5/3 |
What value of x satisfies 2x + 4/5 = 0 | 2x + 4/5 = 0
2x = -4/5
x = -4/5 / 2
x = -2/5 |
Solve x^3 + 37/5x^2 + 51/4x - 27/20 = 0 | x^3 + 37/5x^2 + 51/4x - 27/20 = 0
(x - 1/10)(x - -9/2)(x - -3) = 0
x - 1/10 = 0
x - -9/2 = 0
x - -3 = 0
x = 1/10
x = -9/2
x = -3 |
Find x in 7x + 35/3 = 0 | 7x + 35/3 = 0
7x = -35/3
x = -35/3 / 7
x = -5/3 |
Compute the solution of x^2 - 311/90x + 133/45 = 0 | x^2 - 311/90x + 133/45 = 0
(x - 14/9)(x - 19/10) = 0
x - 14/9 = 0 or x - 19/10 = 0
x = 14/9
x = 19/10 |
Solve simultaneously:
1x + 5y = -71/24
10x + 10y = -35/12 | 1x + 5y = -71/24
10x + 10y = -35/12
Using elimination
10*(1x + 5y = -71/24)
1*(10x + 10y = -35/12)
10x + 50y = -355/12
10x + 10y = -35/12
Subtract equations
40y = -80/3
y = -80/3/40
y = -2/3
Substitute y
1x + 5(-2/3) = -71/24
1x = 3/8
x = 3/8/1
x = 3/8 |
Determine x in x^3 + 155/8x^2 + 451/8x + 38 = 0 | x^3 + 155/8x^2 + 451/8x + 38 = 0
(x - -1)(x - -16)(x - -19/8) = 0
x - -1 = 0
x - -16 = 0
x - -19/8 = 0
x = -1
x = -16
x = -19/8 |
Find the solution to x^2 + 19/6x = 0 | x^2 + 19/6x = 0
(x - 0)(x - -19/6) = 0
x - 0 = 0 or x - -19/6 = 0
x = 0
x = -19/6 |
Find x for x^3 - 111/10x^2 - 279/5x - 81/2 = 0 | x^3 - 111/10x^2 - 279/5x - 81/2 = 0
(x - 15)(x - -3)(x - -9/10) = 0
x - 15 = 0
x - -3 = 0
x - -9/10 = 0
x = 15
x = -3
x = -9/10 |
Find x for x^2 + 4/3x - 32/9 = 0 | x^2 + 4/3x - 32/9 = 0
(x - 4/3)(x - -8/3) = 0
x - 4/3 = 0 or x - -8/3 = 0
x = 4/3
x = -8/3 |
Find x for x^3 - 299/63x^2 - 464/63x - 20/21 = 0 | x^3 - 299/63x^2 - 464/63x - 20/21 = 0
(x - 6)(x - -10/9)(x - -1/7) = 0
x - 6 = 0
x - -10/9 = 0
x - -1/7 = 0
x = 6
x = -10/9
x = -1/7 |
Solve the equation x^3 + 7/3x^2 - 7/3x - 1 = 0 | x^3 + 7/3x^2 - 7/3x - 1 = 0
(x - -1/3)(x - 1)(x - -3) = 0
x - -1/3 = 0
x - 1 = 0
x - -3 = 0
x = -1/3
x = 1
x = -3 |
Solve the equation x^2 + 19/30x + 1/10 = 0 | x^2 + 19/30x + 1/10 = 0
(x - -1/3)(x - -3/10) = 0
x - -1/3 = 0 or x - -3/10 = 0
x = -1/3
x = -3/10 |
Find x in 9x + 10 = 0 | 9x + 10 = 0
9x = -10
x = -10 / 9
x = -10/9 |
Determine x in x^3 + 5/7x^2 - 191/448x + 9/224 = 0 | x^3 + 5/7x^2 - 191/448x + 9/224 = 0
(x - 1/8)(x - -9/8)(x - 2/7) = 0
x - 1/8 = 0
x - -9/8 = 0
x - 2/7 = 0
x = 1/8
x = -9/8
x = 2/7 |
Find x for x^3 - 481/24x^2 - 23/48x + 105/4 = 0 | x^3 - 481/24x^2 - 23/48x + 105/4 = 0
(x - -9/8)(x - 7/6)(x - 20) = 0
x - -9/8 = 0
x - 7/6 = 0
x - 20 = 0
x = -9/8
x = 7/6
x = 20 |
Find x and y such that
3x + 5y = 193/21
1x + 3y = 37/7 | 3x + 5y = 193/21
1x + 3y = 37/7
Using elimination
1*(3x + 5y = 193/21)
3*(1x + 3y = 37/7)
3x + 5y = 193/21
3x + 9y = 111/7
Subtract equations
-4y = -20/3
y = -20/3/-4
y = 5/3
Substitute y
3x + 5(5/3) = 193/21
3x = 6/7
x = 6/7/3
x = 2/7 |
Solve the system:
10x + 2y = -221/6
6x + 8y = -17/6 | 10x + 2y = -221/6
6x + 8y = -17/6
Using elimination
6*(10x + 2y = -221/6)
10*(6x + 8y = -17/6)
60x + 12y = -221
60x + 80y = -85/3
Subtract equations
-68y = -578/3
y = -578/3/-68
y = 17/6
Substitute y
10x + 2(17/6) = -221/6
10x = -85/2
x = -85/2/10
x = -17/4 |
Solve the system:
8x + 9y = 69
5x + 2y = 25 | 8x + 9y = 69
5x + 2y = 25
Using elimination
5*(8x + 9y = 69)
8*(5x + 2y = 25)
40x + 45y = 345
40x + 16y = 200
Subtract equations
29y = 145
y = 145/29
y = 5
Substitute y
8x + 9(5) = 69
8x = 24
x = 24/8
x = 3 |
Solve the equations:
6x + 7y = 72
8x + 1y = 46 | 6x + 7y = 72
8x + 1y = 46
Using elimination
8*(6x + 7y = 72)
6*(8x + 1y = 46)
48x + 56y = 576
48x + 6y = 276
Subtract equations
50y = 300
y = 300/50
y = 6
Substitute y
6x + 7(6) = 72
6x = 30
x = 30/6
x = 5 |
Find x for 10x + 5 = 0 | 10x + 5 = 0
10x = -5
x = -5 / 10
x = -1/2 |
Find x in x^2 - 23/3x + 20/3 = 0 | x^2 - 23/3x + 20/3 = 0
(x - 1)(x - 20/3) = 0
x - 1 = 0 or x - 20/3 = 0
x = 1
x = 20/3 |
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