input stringlengths 13 66 | output stringlengths 30 276 |
|---|---|
Solve simultaneously:
7x + 1y = -93/4
9x + 9y = -351/4 | 7x + 1y = -93/4
9x + 9y = -351/4
Using elimination
9*(7x + 1y = -93/4)
7*(9x + 9y = -351/4)
63x + 9y = -837/4
63x + 63y = -2457/4
Subtract equations
-54y = 405
y = 405/-54
y = -15/2
Substitute y
7x + 1(-15/2) = -93/4
7x = -63/4
x = -63/4/7
x = -9/4 |
Solve the equations:
4x + 8y = -16/5
5x + 8y = -24/5 | 4x + 8y = -16/5
5x + 8y = -24/5
Using elimination
5*(4x + 8y = -16/5)
4*(5x + 8y = -24/5)
20x + 40y = -16
20x + 32y = -96/5
Subtract equations
8y = 16/5
y = 16/5/8
y = 2/5
Substitute y
4x + 8(2/5) = -16/5
4x = -32/5
x = -32/5/4
x = -8/5 |
What value of x satisfies x^3 + 19/4x^2 - 9x - 9 = 0 | x^3 + 19/4x^2 - 9x - 9 = 0
(x - -3/4)(x - -6)(x - 2) = 0
x - -3/4 = 0
x - -6 = 0
x - 2 = 0
x = -3/4
x = -6
x = 2 |
What value of x satisfies 4x - 16/3 = 0 | 4x - 16/3 = 0
4x = 16/3
x = 16/3 / 4
x = 4/3 |
Solve simultaneously:
4x + 10y = 164/7
2x + 2y = 242/35 | 4x + 10y = 164/7
2x + 2y = 242/35
Using elimination
2*(4x + 10y = 164/7)
4*(2x + 2y = 242/35)
8x + 20y = 328/7
8x + 8y = 968/35
Subtract equations
12y = 96/5
y = 96/5/12
y = 8/5
Substitute y
4x + 10(8/5) = 164/7
4x = 52/7
x = 52/7/4
x = 13/7 |
Find x for x^3 - 171/35x^2 - 342/35x + 648/35 = 0 | x^3 - 171/35x^2 - 342/35x + 648/35 = 0
(x - 6)(x - -12/5)(x - 9/7) = 0
x - 6 = 0
x - -12/5 = 0
x - 9/7 = 0
x = 6
x = -12/5
x = 9/7 |
Find x for 8x + 26 = 0 | 8x + 26 = 0
8x = -26
x = -26 / 8
x = -13/4 |
Solve the system:
1x + 3y = -31/18
1x + 5y = -49/18 | 1x + 3y = -31/18
1x + 5y = -49/18
Using elimination
1*(1x + 3y = -31/18)
1*(1x + 5y = -49/18)
1x + 3y = -31/18
1x + 5y = -49/18
Subtract equations
-2y = 1
y = 1/-2
y = -1/2
Substitute y
1x + 3(-1/2) = -31/18
1x = -2/9
x = -2/9/1
x = -2/9 |
Solve the equation x^2 + 43/5x - 14 = 0 | x^2 + 43/5x - 14 = 0
(x - -10)(x - 7/5) = 0
x - -10 = 0 or x - 7/5 = 0
x = -10
x = 7/5 |
Find the solution to 4x - 2 = 0 | 4x - 2 = 0
4x = 2
x = 2 / 4
x = 1/2 |
Determine x in x^2 + 4/5x - 9/5 = 0 | x^2 + 4/5x - 9/5 = 0
(x - -9/5)(x - 1) = 0
x - -9/5 = 0 or x - 1 = 0
x = -9/5
x = 1 |
Determine x in x^3 + 3/4x^2 - 69/4x - 17 = 0 | x^3 + 3/4x^2 - 69/4x - 17 = 0
(x - -1)(x - -4)(x - 17/4) = 0
x - -1 = 0
x - -4 = 0
x - 17/4 = 0
x = -1
x = -4
x = 17/4 |
Find x for x^3 - 23/7x^2 + 8/7x + 20/7 = 0 | x^3 - 23/7x^2 + 8/7x + 20/7 = 0
(x - 2)(x - 2)(x - -5/7) = 0
x - 2 = 0
x - 2 = 0
x - -5/7 = 0
x = 2
x = 2
x = -5/7 |
Find x in x^3 + 49/9x^2 - 374/81x - 208/27 = 0 | x^3 + 49/9x^2 - 374/81x - 208/27 = 0
(x - -6)(x - -8/9)(x - 13/9) = 0
x - -6 = 0
x - -8/9 = 0
x - 13/9 = 0
x = -6
x = -8/9
x = 13/9 |
What value of x satisfies x^3 + 103/30x^2 - 79/10x - 52/3 = 0 | x^3 + 103/30x^2 - 79/10x - 52/3 = 0
(x - 5/2)(x - -13/3)(x - -8/5) = 0
x - 5/2 = 0
x - -13/3 = 0
x - -8/5 = 0
x = 5/2
x = -13/3
x = -8/5 |
Solve the system:
5x + 9y = -193/2
10x + 9y = -323/2 | 5x + 9y = -193/2
10x + 9y = -323/2
Using elimination
10*(5x + 9y = -193/2)
5*(10x + 9y = -323/2)
50x + 90y = -965
50x + 45y = -1615/2
Subtract equations
45y = -315/2
y = -315/2/45
y = -7/2
Substitute y
5x + 9(-7/2) = -193/2
5x = -65
x = -65/5
x = -13 |
What value of x satisfies x^3 + 107/21x^2 + 10/7x - 8/3 = 0 | x^3 + 107/21x^2 + 10/7x - 8/3 = 0
(x - -1)(x - 4/7)(x - -14/3) = 0
x - -1 = 0
x - 4/7 = 0
x - -14/3 = 0
x = -1
x = 4/7
x = -14/3 |
Find x in 6x + 22 = 0 | 6x + 22 = 0
6x = -22
x = -22 / 6
x = -11/3 |
Find the solution to x^3 + 15/8x^2 + 11/16x = 0 | x^3 + 15/8x^2 + 11/16x = 0
(x - -1/2)(x - 0)(x - -11/8) = 0
x - -1/2 = 0
x - 0 = 0
x - -11/8 = 0
x = -1/2
x = 0
x = -11/8 |
Solve the system:
5x + 7y = 56/9
2x + 10y = 80/9 | 5x + 7y = 56/9
2x + 10y = 80/9
Using elimination
2*(5x + 7y = 56/9)
5*(2x + 10y = 80/9)
10x + 14y = 112/9
10x + 50y = 400/9
Subtract equations
-36y = -32
y = -32/-36
y = 8/9
Substitute y
5x + 7(8/9) = 56/9
5x = 0
x = 0/5
x = 0 |
Find x and y such that
2x + 2y = -67/9
2x + 10y = -247/9 | 2x + 2y = -67/9
2x + 10y = -247/9
Using elimination
2*(2x + 2y = -67/9)
2*(2x + 10y = -247/9)
4x + 4y = -134/9
4x + 20y = -494/9
Subtract equations
-16y = 40
y = 40/-16
y = -5/2
Substitute y
2x + 2(-5/2) = -67/9
2x = -22/9
x = -22/9/2
x = -11/9 |
Determine x in x^2 - 87/35x + 54/35 = 0 | x^2 - 87/35x + 54/35 = 0
(x - 6/5)(x - 9/7) = 0
x - 6/5 = 0 or x - 9/7 = 0
x = 6/5
x = 9/7 |
What value of x satisfies x^3 - 24/5x^2 + 16/5x = 0 | x^3 - 24/5x^2 + 16/5x = 0
(x - 0)(x - 4)(x - 4/5) = 0
x - 0 = 0
x - 4 = 0
x - 4/5 = 0
x = 0
x = 4
x = 4/5 |
Find the solution to x^3 - 40/21x^2 - 199/21x + 110/7 = 0 | x^3 - 40/21x^2 - 199/21x + 110/7 = 0
(x - 10/3)(x - -3)(x - 11/7) = 0
x - 10/3 = 0
x - -3 = 0
x - 11/7 = 0
x = 10/3
x = -3
x = 11/7 |
Find the solution to 5x - 25/2 = 0 | 5x - 25/2 = 0
5x = 25/2
x = 25/2 / 5
x = 5/2 |
Find x in x^2 + 77/15x - 38/5 = 0 | x^2 + 77/15x - 38/5 = 0
(x - -19/3)(x - 6/5) = 0
x - -19/3 = 0 or x - 6/5 = 0
x = -19/3
x = 6/5 |
Find x for x^3 + 1151/360x^2 - 209/120x - 21/20 = 0 | x^3 + 1151/360x^2 - 209/120x - 21/20 = 0
(x - -3/8)(x - 7/9)(x - -18/5) = 0
x - -3/8 = 0
x - 7/9 = 0
x - -18/5 = 0
x = -3/8
x = 7/9
x = -18/5 |
Solve the equation x^2 - 81/14x - 90/7 = 0 | x^2 - 81/14x - 90/7 = 0
(x - 15/2)(x - -12/7) = 0
x - 15/2 = 0 or x - -12/7 = 0
x = 15/2
x = -12/7 |
Solve the system:
4x + 2y = 90/7
6x + 9y = 153/7 | 4x + 2y = 90/7
6x + 9y = 153/7
Using elimination
6*(4x + 2y = 90/7)
4*(6x + 9y = 153/7)
24x + 12y = 540/7
24x + 36y = 612/7
Subtract equations
-24y = -72/7
y = -72/7/-24
y = 3/7
Substitute y
4x + 2(3/7) = 90/7
4x = 12
x = 12/4
x = 3 |
What value of x satisfies x^2 - 2x + 1 = 0 | x^2 - 2x + 1 = 0
(x - 1)(x - 1) = 0
x - 1 = 0 or x - 1 = 0
x = 1
x = 1 |
Find x for x^2 - 26/15x + 8/15 = 0 | x^2 - 26/15x + 8/15 = 0
(x - 2/5)(x - 4/3) = 0
x - 2/5 = 0 or x - 4/3 = 0
x = 2/5
x = 4/3 |
Compute the solution of x^2 - 13/5x + 22/25 = 0 | x^2 - 13/5x + 22/25 = 0
(x - 11/5)(x - 2/5) = 0
x - 11/5 = 0 or x - 2/5 = 0
x = 11/5
x = 2/5 |
What value of x satisfies 6x - 54/5 = 0 | 6x - 54/5 = 0
6x = 54/5
x = 54/5 / 6
x = 9/5 |
Determine x in x^3 - 4x^2 - 185/4x - 57 = 0 | x^3 - 4x^2 - 185/4x - 57 = 0
(x - 19/2)(x - -3/2)(x - -4) = 0
x - 19/2 = 0
x - -3/2 = 0
x - -4 = 0
x = 19/2
x = -3/2
x = -4 |
Find the solution to x^2 - 4/3x - 11/12 = 0 | x^2 - 4/3x - 11/12 = 0
(x - 11/6)(x - -1/2) = 0
x - 11/6 = 0 or x - -1/2 = 0
x = 11/6
x = -1/2 |
Find x for 6x + 102/7 = 0 | 6x + 102/7 = 0
6x = -102/7
x = -102/7 / 6
x = -17/7 |
Compute the solution of x^3 - 26/5x^2 + 12/5x + 1512/125 = 0 | x^3 - 26/5x^2 + 12/5x + 1512/125 = 0
(x - -6/5)(x - 14/5)(x - 18/5) = 0
x - -6/5 = 0
x - 14/5 = 0
x - 18/5 = 0
x = -6/5
x = 14/5
x = 18/5 |
Find the solution to x^3 + 113/24x^2 + 2x - 10/3 = 0 | x^3 + 113/24x^2 + 2x - 10/3 = 0
(x - 5/8)(x - -4)(x - -4/3) = 0
x - 5/8 = 0
x - -4 = 0
x - -4/3 = 0
x = 5/8
x = -4
x = -4/3 |
What value of x satisfies 7x + 21/4 = 0 | 7x + 21/4 = 0
7x = -21/4
x = -21/4 / 7
x = -3/4 |
Find x for x^3 + 203/9x^2 + 1420/27x + 800/27 = 0 | x^3 + 203/9x^2 + 1420/27x + 800/27 = 0
(x - -8/9)(x - -5/3)(x - -20) = 0
x - -8/9 = 0
x - -5/3 = 0
x - -20 = 0
x = -8/9
x = -5/3
x = -20 |
Solve x^3 + 21/2x^2 + 1739/64x + 1197/64 = 0 | x^3 + 21/2x^2 + 1739/64x + 1197/64 = 0
(x - -19/8)(x - -7)(x - -9/8) = 0
x - -19/8 = 0
x - -7 = 0
x - -9/8 = 0
x = -19/8
x = -7
x = -9/8 |
What value of x satisfies x^2 + 23/7x + 16/7 = 0 | x^2 + 23/7x + 16/7 = 0
(x - -16/7)(x - -1) = 0
x - -16/7 = 0 or x - -1 = 0
x = -16/7
x = -1 |
Solve quickly: x^3 + 13/3x^2 - 10/3x = 0 | x^3 + 13/3x^2 - 10/3x = 0
(x - 0)(x - 2/3)(x - -5) = 0
x - 0 = 0
x - 2/3 = 0
x - -5 = 0
x = 0
x = 2/3
x = -5 |
Find x for x^3 + 15/8x^2 - 225/16x + 125/16 = 0 | x^3 + 15/8x^2 - 225/16x + 125/16 = 0
(x - -5)(x - 5/8)(x - 5/2) = 0
x - -5 = 0
x - 5/8 = 0
x - 5/2 = 0
x = -5
x = 5/8
x = 5/2 |
Solve the equations:
5x + 5y = 155/8
8x + 9y = 34 | 5x + 5y = 155/8
8x + 9y = 34
Using elimination
8*(5x + 5y = 155/8)
5*(8x + 9y = 34)
40x + 40y = 155
40x + 45y = 170
Subtract equations
-5y = -15
y = -15/-5
y = 3
Substitute y
5x + 5(3) = 155/8
5x = 35/8
x = 35/8/5
x = 7/8 |
Solve the system:
5x + 7y = -19/2
3x + 9y = -21/2 | 5x + 7y = -19/2
3x + 9y = -21/2
Using elimination
3*(5x + 7y = -19/2)
5*(3x + 9y = -21/2)
15x + 21y = -57/2
15x + 45y = -105/2
Subtract equations
-24y = 24
y = 24/-24
y = -1
Substitute y
5x + 7(-1) = -19/2
5x = -5/2
x = -5/2/5
x = -1/2 |
Solve 8x + 72/5 = 0 | 8x + 72/5 = 0
8x = -72/5
x = -72/5 / 8
x = -9/5 |
What value of x satisfies x^3 - 17/2x^2 + 19x - 15/2 = 0 | x^3 - 17/2x^2 + 19x - 15/2 = 0
(x - 1/2)(x - 3)(x - 5) = 0
x - 1/2 = 0
x - 3 = 0
x - 5 = 0
x = 1/2
x = 3
x = 5 |
Find x and y such that
3x + 2y = 17/4
5x + 7y = 181/24 | 3x + 2y = 17/4
5x + 7y = 181/24
Using elimination
5*(3x + 2y = 17/4)
3*(5x + 7y = 181/24)
15x + 10y = 85/4
15x + 21y = 181/8
Subtract equations
-11y = -11/8
y = -11/8/-11
y = 1/8
Substitute y
3x + 2(1/8) = 17/4
3x = 4
x = 4/3
x = 4/3 |
Determine x in 6x - 57/4 = 0 | 6x - 57/4 = 0
6x = 57/4
x = 57/4 / 6
x = 19/8 |
Solve simultaneously:
1x + 10y = 0
6x + 3y = 57/2 | 1x + 10y = 0
6x + 3y = 57/2
Using elimination
6*(1x + 10y = 0)
1*(6x + 3y = 57/2)
6x + 60y = 0
6x + 3y = 57/2
Subtract equations
57y = -57/2
y = -57/2/57
y = -1/2
Substitute y
1x + 10(-1/2) = 0
1x = 5
x = 5/1
x = 5 |
Determine x in x^2 + 157/70x + 44/35 = 0 | x^2 + 157/70x + 44/35 = 0
(x - -11/10)(x - -8/7) = 0
x - -11/10 = 0 or x - -8/7 = 0
x = -11/10
x = -8/7 |
What value of x satisfies x^3 - 5/7x^2 - 554/49x - 360/49 = 0 | x^3 - 5/7x^2 - 554/49x - 360/49 = 0
(x - 4)(x - -18/7)(x - -5/7) = 0
x - 4 = 0
x - -18/7 = 0
x - -5/7 = 0
x = 4
x = -18/7
x = -5/7 |
Find x for x^3 + 137/24x^2 + 1039/96x + 1309/192 = 0 | x^3 + 137/24x^2 + 1039/96x + 1309/192 = 0
(x - -11/6)(x - -17/8)(x - -7/4) = 0
x - -11/6 = 0
x - -17/8 = 0
x - -7/4 = 0
x = -11/6
x = -17/8
x = -7/4 |
Find x for x^3 + 95/6x^2 + 109/3x - 13/2 = 0 | x^3 + 95/6x^2 + 109/3x - 13/2 = 0
(x - -3)(x - -13)(x - 1/6) = 0
x - -3 = 0
x - -13 = 0
x - 1/6 = 0
x = -3
x = -13
x = 1/6 |
Determine x in x^3 + 134/15x^2 - 843/5x + 1292/3 = 0 | x^3 + 134/15x^2 - 843/5x + 1292/3 = 0
(x - -19)(x - 20/3)(x - 17/5) = 0
x - -19 = 0
x - 20/3 = 0
x - 17/5 = 0
x = -19
x = 20/3
x = 17/5 |
Solve the equation 3x + 57/2 = 0 | 3x + 57/2 = 0
3x = -57/2
x = -57/2 / 3
x = -19/2 |
Solve the equation x^2 + 1x - 6 = 0 | x^2 + 1x - 6 = 0
(x - 2)(x - -3) = 0
x - 2 = 0 or x - -3 = 0
x = 2
x = -3 |
Solve x^3 + 29/30x^2 - 1061/75x + 364/25 = 0 | x^3 + 29/30x^2 - 1061/75x + 364/25 = 0
(x - 13/10)(x - 12/5)(x - -14/3) = 0
x - 13/10 = 0
x - 12/5 = 0
x - -14/3 = 0
x = 13/10
x = 12/5
x = -14/3 |
Find x for 8x + 76/5 = 0 | 8x + 76/5 = 0
8x = -76/5
x = -76/5 / 8
x = -19/10 |
Solve x^3 - 241/28x^2 - 815/28x + 429/14 = 0 | x^3 - 241/28x^2 - 815/28x + 429/14 = 0
(x - -13/4)(x - 11)(x - 6/7) = 0
x - -13/4 = 0
x - 11 = 0
x - 6/7 = 0
x = -13/4
x = 11
x = 6/7 |
Solve x^3 - 47/5x^2 + 343/20x + 221/20 = 0 | x^3 - 47/5x^2 + 343/20x + 221/20 = 0
(x - 17/5)(x - 13/2)(x - -1/2) = 0
x - 17/5 = 0
x - 13/2 = 0
x - -1/2 = 0
x = 17/5
x = 13/2
x = -1/2 |
Compute the solution of 2x - 18/7 = 0 | 2x - 18/7 = 0
2x = 18/7
x = 18/7 / 2
x = 9/7 |
Find x for x^2 + 3x + 2 = 0 | x^2 + 3x + 2 = 0
(x - -1)(x - -2) = 0
x - -1 = 0 or x - -2 = 0
x = -1
x = -2 |
Compute the solution of 6x - 39 = 0 | 6x - 39 = 0
6x = 39
x = 39 / 6
x = 13/2 |
Solve the system:
9x + 7y = 157/4
2x + 8y = 2/3 | 9x + 7y = 157/4
2x + 8y = 2/3
Using elimination
2*(9x + 7y = 157/4)
9*(2x + 8y = 2/3)
18x + 14y = 157/2
18x + 72y = 6
Subtract equations
-58y = 145/2
y = 145/2/-58
y = -5/4
Substitute y
9x + 7(-5/4) = 157/4
9x = 48
x = 48/9
x = 16/3 |
Solve simultaneously:
6x + 3y = 231/4
6x + 4y = 307/4 | 6x + 3y = 231/4
6x + 4y = 307/4
Using elimination
6*(6x + 3y = 231/4)
6*(6x + 4y = 307/4)
36x + 18y = 693/2
36x + 24y = 921/2
Subtract equations
-6y = -114
y = -114/-6
y = 19
Substitute y
6x + 3(19) = 231/4
6x = 3/4
x = 3/4/6
x = 1/8 |
Find the solution to x^2 - 9 = 0 | x^2 - 9 = 0
(x - 3)(x - -3) = 0
x - 3 = 0 or x - -3 = 0
x = 3
x = -3 |
Find x in x^3 + 13/70x^2 - 157/350x - 3/25 = 0 | x^3 + 13/70x^2 - 157/350x - 3/25 = 0
(x - -3/5)(x - 7/10)(x - -2/7) = 0
x - -3/5 = 0
x - 7/10 = 0
x - -2/7 = 0
x = -3/5
x = 7/10
x = -2/7 |
Solve simultaneously:
8x + 2y = 179/6
4x + 4y = 83/3 | 8x + 2y = 179/6
4x + 4y = 83/3
Using elimination
4*(8x + 2y = 179/6)
8*(4x + 4y = 83/3)
32x + 8y = 358/3
32x + 32y = 664/3
Subtract equations
-24y = -102
y = -102/-24
y = 17/4
Substitute y
8x + 2(17/4) = 179/6
8x = 64/3
x = 64/3/8
x = 8/3 |
Solve quickly: x^2 - 29/10x - 63/25 = 0 | x^2 - 29/10x - 63/25 = 0
(x - 18/5)(x - -7/10) = 0
x - 18/5 = 0 or x - -7/10 = 0
x = 18/5
x = -7/10 |
What value of x satisfies 8x + 16 = 0 | 8x + 16 = 0
8x = -16
x = -16 / 8
x = -2 |
Solve simultaneously:
4x + 2y = 9/4
1x + 6y = 5/4 | 4x + 2y = 9/4
1x + 6y = 5/4
Using elimination
1*(4x + 2y = 9/4)
4*(1x + 6y = 5/4)
4x + 2y = 9/4
4x + 24y = 5
Subtract equations
-22y = -11/4
y = -11/4/-22
y = 1/8
Substitute y
4x + 2(1/8) = 9/4
4x = 2
x = 2/4
x = 1/2 |
Solve the system:
5x + 7y = 23/2
7x + 4y = 8/5 | 5x + 7y = 23/2
7x + 4y = 8/5
Using elimination
7*(5x + 7y = 23/2)
5*(7x + 4y = 8/5)
35x + 49y = 161/2
35x + 20y = 8
Subtract equations
29y = 145/2
y = 145/2/29
y = 5/2
Substitute y
5x + 7(5/2) = 23/2
5x = -6
x = -6/5
x = -6/5 |
Solve the equation x^2 - 17/6x + 5/6 = 0 | x^2 - 17/6x + 5/6 = 0
(x - 1/3)(x - 5/2) = 0
x - 1/3 = 0 or x - 5/2 = 0
x = 1/3
x = 5/2 |
Solve the equation 6x + 120/7 = 0 | 6x + 120/7 = 0
6x = -120/7
x = -120/7 / 6
x = -20/7 |
Find x for x^2 - 13/3x + 10/3 = 0 | x^2 - 13/3x + 10/3 = 0
(x - 1)(x - 10/3) = 0
x - 1 = 0 or x - 10/3 = 0
x = 1
x = 10/3 |
Find the solution to x^2 + 35/12x - 19/24 = 0 | x^2 + 35/12x - 19/24 = 0
(x - -19/6)(x - 1/4) = 0
x - -19/6 = 0 or x - 1/4 = 0
x = -19/6
x = 1/4 |
Solve simultaneously:
6x + 2y = 102
6x + 3y = 99 | 6x + 2y = 102
6x + 3y = 99
Using elimination
6*(6x + 2y = 102)
6*(6x + 3y = 99)
36x + 12y = 612
36x + 18y = 594
Subtract equations
-6y = 18
y = 18/-6
y = -3
Substitute y
6x + 2(-3) = 102
6x = 108
x = 108/6
x = 18 |
Determine x in 10x - 5 = 0 | 10x - 5 = 0
10x = 5
x = 5 / 10
x = 1/2 |
Find x for x^2 - 13/20x - 21/20 = 0 | x^2 - 13/20x - 21/20 = 0
(x - 7/5)(x - -3/4) = 0
x - 7/5 = 0 or x - -3/4 = 0
x = 7/5
x = -3/4 |
Determine x in x^3 - 35/4x^2 + 109/8x + 187/8 = 0 | x^3 - 35/4x^2 + 109/8x + 187/8 = 0
(x - 11/2)(x - 17/4)(x - -1) = 0
x - 11/2 = 0
x - 17/4 = 0
x - -1 = 0
x = 11/2
x = 17/4
x = -1 |
Solve x^2 - 17/10x + 13/25 = 0 | x^2 - 17/10x + 13/25 = 0
(x - 13/10)(x - 2/5) = 0
x - 13/10 = 0 or x - 2/5 = 0
x = 13/10
x = 2/5 |
Solve simultaneously:
1x + 5y = 187/5
10x + 5y = 59 | 1x + 5y = 187/5
10x + 5y = 59
Using elimination
10*(1x + 5y = 187/5)
1*(10x + 5y = 59)
10x + 50y = 374
10x + 5y = 59
Subtract equations
45y = 315
y = 315/45
y = 7
Substitute y
1x + 5(7) = 187/5
1x = 12/5
x = 12/5/1
x = 12/5 |
Solve the system:
6x + 8y = -22
1x + 3y = -88/9 | 6x + 8y = -22
1x + 3y = -88/9
Using elimination
1*(6x + 8y = -22)
6*(1x + 3y = -88/9)
6x + 8y = -22
6x + 18y = -176/3
Subtract equations
-10y = 110/3
y = 110/3/-10
y = -11/3
Substitute y
6x + 8(-11/3) = -22
6x = 22/3
x = 22/3/6
x = 11/9 |
Solve simultaneously:
2x + 1y = 5
4x + 9y = 10 | 2x + 1y = 5
4x + 9y = 10
Using elimination
4*(2x + 1y = 5)
2*(4x + 9y = 10)
8x + 4y = 20
8x + 18y = 20
Subtract equations
-14y = 0
y = 0/-14
y = 0
Substitute y
2x + 1(0) = 5
2x = 5
x = 5/2
x = 5/2 |
Find x for x^3 + 6x^2 + 17/4x - 15/4 = 0 | x^3 + 6x^2 + 17/4x - 15/4 = 0
(x - -3/2)(x - -5)(x - 1/2) = 0
x - -3/2 = 0
x - -5 = 0
x - 1/2 = 0
x = -3/2
x = -5
x = 1/2 |
Determine x in 10x - 32 = 0 | 10x - 32 = 0
10x = 32
x = 32 / 10
x = 16/5 |
What value of x satisfies x^3 - 141/20x^2 + 127/20x + 39/2 = 0 | x^3 - 141/20x^2 + 127/20x + 39/2 = 0
(x - 13/4)(x - -6/5)(x - 5) = 0
x - 13/4 = 0
x - -6/5 = 0
x - 5 = 0
x = 13/4
x = -6/5
x = 5 |
Solve simultaneously:
4x + 5y = -99/2
6x + 2y = -33 | 4x + 5y = -99/2
6x + 2y = -33
Using elimination
6*(4x + 5y = -99/2)
4*(6x + 2y = -33)
24x + 30y = -297
24x + 8y = -132
Subtract equations
22y = -165
y = -165/22
y = -15/2
Substitute y
4x + 5(-15/2) = -99/2
4x = -12
x = -12/4
x = -3 |
What value of x satisfies x^3 + 115/12x^2 + 359/12x + 91/3 = 0 | x^3 + 115/12x^2 + 359/12x + 91/3 = 0
(x - -4)(x - -13/4)(x - -7/3) = 0
x - -4 = 0
x - -13/4 = 0
x - -7/3 = 0
x = -4
x = -13/4
x = -7/3 |
Solve simultaneously:
9x + 6y = 234/5
3x + 7y = 123/5 | 9x + 6y = 234/5
3x + 7y = 123/5
Using elimination
3*(9x + 6y = 234/5)
9*(3x + 7y = 123/5)
27x + 18y = 702/5
27x + 63y = 1107/5
Subtract equations
-45y = -81
y = -81/-45
y = 9/5
Substitute y
9x + 6(9/5) = 234/5
9x = 36
x = 36/9
x = 4 |
Solve simultaneously:
7x + 2y = 438/5
3x + 7y = 243/5 | 7x + 2y = 438/5
3x + 7y = 243/5
Using elimination
3*(7x + 2y = 438/5)
7*(3x + 7y = 243/5)
21x + 6y = 1314/5
21x + 49y = 1701/5
Subtract equations
-43y = -387/5
y = -387/5/-43
y = 9/5
Substitute y
7x + 2(9/5) = 438/5
7x = 84
x = 84/7
x = 12 |
Solve quickly: x^2 - 3/2x - 1 = 0 | x^2 - 3/2x - 1 = 0
(x - -1/2)(x - 2) = 0
x - -1/2 = 0 or x - 2 = 0
x = -1/2
x = 2 |
Solve simultaneously:
3x + 7y = -311/30
3x + 3y = -77/10 | 3x + 7y = -311/30
3x + 3y = -77/10
Using elimination
3*(3x + 7y = -311/30)
3*(3x + 3y = -77/10)
9x + 21y = -311/10
9x + 9y = -231/10
Subtract equations
12y = -8
y = -8/12
y = -2/3
Substitute y
3x + 7(-2/3) = -311/30
3x = -57/10
x = -57/10/3
x = -19/10 |
Solve the equations:
8x + 3y = -26
5x + 8y = 37/3 | 8x + 3y = -26
5x + 8y = 37/3
Using elimination
5*(8x + 3y = -26)
8*(5x + 8y = 37/3)
40x + 15y = -130
40x + 64y = 296/3
Subtract equations
-49y = -686/3
y = -686/3/-49
y = 14/3
Substitute y
8x + 3(14/3) = -26
8x = -40
x = -40/8
x = -5 |
What value of x satisfies 10x = 0 | 10x = 0
10x = 0
x = 0 / 10
x = 0 |
Find the solution to 6x - 30/7 = 0 | 6x - 30/7 = 0
6x = 30/7
x = 30/7 / 6
x = 5/7 |
Compute the solution of x^3 + 5/7x^2 = 0 | x^3 + 5/7x^2 = 0
(x - -5/7)(x - 0)(x - 0) = 0
x - -5/7 = 0
x - 0 = 0
x - 0 = 0
x = -5/7
x = 0
x = 0 |
Determine x in x^3 - 7/9x^2 - 100/27x + 100/27 = 0 | x^3 - 7/9x^2 - 100/27x + 100/27 = 0
(x - 5/3)(x - 10/9)(x - -2) = 0
x - 5/3 = 0
x - 10/9 = 0
x - -2 = 0
x = 5/3
x = 10/9
x = -2 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.