input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the system:
2x + 8y = -12
9x + 3y = 147/4 | 2x + 8y = -12
9x + 3y = 147/4
Using elimination
9*(2x + 8y = -12)
2*(9x + 3y = 147/4)
18x + 72y = -108
18x + 6y = 147/2
Subtract equations
66y = -363/2
y = -363/2/66
y = -11/4
Substitute y
2x + 8(-11/4) = -12
2x = 10
x = 10/2
x = 5 |
Find the solution to x^3 + 201/20x^2 + 67/2x + 741/20 = 0 | x^3 + 201/20x^2 + 67/2x + 741/20 = 0
(x - -3)(x - -13/4)(x - -19/5) = 0
x - -3 = 0
x - -13/4 = 0
x - -19/5 = 0
x = -3
x = -13/4
x = -19/5 |
Solve x^2 - 77/18x + 49/18 = 0 | x^2 - 77/18x + 49/18 = 0
(x - 7/2)(x - 7/9) = 0
x - 7/2 = 0 or x - 7/9 = 0
x = 7/2
x = 7/9 |
Solve the system:
3x + 3y = -687/40
6x + 7y = -1459/40 | 3x + 3y = -687/40
6x + 7y = -1459/40
Using elimination
6*(3x + 3y = -687/40)
3*(6x + 7y = -1459/40)
18x + 18y = -2061/20
18x + 21y = -4377/40
Subtract equations
-3y = 51/8
y = 51/8/-3
y = -17/8
Substitute y
3x + 3(-17/8) = -687/40
3x = -54/5
x = -54/5/3
x = -18/5 |
Find x in x^2 + 75/8x + 133/8 = 0 | x^2 + 75/8x + 133/8 = 0
(x - -7)(x - -19/8) = 0
x - -7 = 0 or x - -19/8 = 0
x = -7
x = -19/8 |
Find x for x^2 - 59/3x - 20/3 = 0 | x^2 - 59/3x - 20/3 = 0
(x - 20)(x - -1/3) = 0
x - 20 = 0 or x - -1/3 = 0
x = 20
x = -1/3 |
Solve quickly: x^3 + 50/9x^2 + 137/27x - 70/9 = 0 | x^3 + 50/9x^2 + 137/27x - 70/9 = 0
(x - 7/9)(x - -3)(x - -10/3) = 0
x - 7/9 = 0
x - -3 = 0
x - -10/3 = 0
x = 7/9
x = -3
x = -10/3 |
Compute the solution of x^2 - 17x + 30 = 0 | x^2 - 17x + 30 = 0
(x - 2)(x - 15) = 0
x - 2 = 0 or x - 15 = 0
x = 2
x = 15 |
Compute the solution of x^3 - 509/210x^2 + 149/210x + 19/35 = 0 | x^3 - 509/210x^2 + 149/210x + 19/35 = 0
(x - -1/3)(x - 19/10)(x - 6/7) = 0
x - -1/3 = 0
x - 19/10 = 0
x - 6/7 = 0
x = -1/3
x = 19/10
x = 6/7 |
Solve simultaneously:
4x + 7y = 64/3
9x + 1y = -11 | 4x + 7y = 64/3
9x + 1y = -11
Using elimination
9*(4x + 7y = 64/3)
4*(9x + 1y = -11)
36x + 63y = 192
36x + 4y = -44
Subtract equations
59y = 236
y = 236/59
y = 4
Substitute y
4x + 7(4) = 64/3
4x = -20/3
x = -20/3/4
x = -5/3 |
Determine x in 2x - 22/3 = 0 | 2x - 22/3 = 0
2x = 22/3
x = 22/3 / 2
x = 11/3 |
Find x in 5x + 10 = 0 | 5x + 10 = 0
5x = -10
x = -10 / 5
x = -2 |
Find the solution to 4x + 8/3 = 0 | 4x + 8/3 = 0
4x = -8/3
x = -8/3 / 4
x = -2/3 |
Solve the equation 8x - 60 = 0 | 8x - 60 = 0
8x = 60
x = 60 / 8
x = 15/2 |
Solve the system:
8x + 6y = 31
4x + 6y = 11 | 8x + 6y = 31
4x + 6y = 11
Using elimination
4*(8x + 6y = 31)
8*(4x + 6y = 11)
32x + 24y = 124
32x + 48y = 88
Subtract equations
-24y = 36
y = 36/-24
y = -3/2
Substitute y
8x + 6(-3/2) = 31
8x = 40
x = 40/8
x = 5 |
Find the solution to 9x + 144/7 = 0 | 9x + 144/7 = 0
9x = -144/7
x = -144/7 / 9
x = -16/7 |
Solve simultaneously:
10x + 2y = 21
1x + 3y = 7/6 | 10x + 2y = 21
1x + 3y = 7/6
Using elimination
1*(10x + 2y = 21)
10*(1x + 3y = 7/6)
10x + 2y = 21
10x + 30y = 35/3
Subtract equations
-28y = 28/3
y = 28/3/-28
y = -1/3
Substitute y
10x + 2(-1/3) = 21
10x = 65/3
x = 65/3/10
x = 13/6 |
Find the solution to x^3 - 11/2x^2 + 41/6x + 35/27 = 0 | x^3 - 11/2x^2 + 41/6x + 35/27 = 0
(x - 10/3)(x - 7/3)(x - -1/6) = 0
x - 10/3 = 0
x - 7/3 = 0
x - -1/6 = 0
x = 10/3
x = 7/3
x = -1/6 |
Compute the solution of x^2 - 55/12x + 13/12 = 0 | x^2 - 55/12x + 13/12 = 0
(x - 1/4)(x - 13/3) = 0
x - 1/4 = 0 or x - 13/3 = 0
x = 1/4
x = 13/3 |
Find x for x^2 - 6x = 0 | x^2 - 6x = 0
(x - 6)(x - 0) = 0
x - 6 = 0 or x - 0 = 0
x = 6
x = 0 |
Solve quickly: x^2 - 29/40x - 9/20 = 0 | x^2 - 29/40x - 9/20 = 0
(x - -2/5)(x - 9/8) = 0
x - -2/5 = 0 or x - 9/8 = 0
x = -2/5
x = 9/8 |
Solve the equation 8x + 24 = 0 | 8x + 24 = 0
8x = -24
x = -24 / 8
x = -3 |
What value of x satisfies x^2 + 56/15x + 49/15 = 0 | x^2 + 56/15x + 49/15 = 0
(x - -7/3)(x - -7/5) = 0
x - -7/3 = 0 or x - -7/5 = 0
x = -7/3
x = -7/5 |
Compute the solution of x^2 + 10x - 171 = 0 | x^2 + 10x - 171 = 0
(x - -19)(x - 9) = 0
x - -19 = 0 or x - 9 = 0
x = -19
x = 9 |
Find x in 4x - 64/3 = 0 | 4x - 64/3 = 0
4x = 64/3
x = 64/3 / 4
x = 16/3 |
Solve quickly: x^2 - 7/9x - 20/27 = 0 | x^2 - 7/9x - 20/27 = 0
(x - 4/3)(x - -5/9) = 0
x - 4/3 = 0 or x - -5/9 = 0
x = 4/3
x = -5/9 |
Find x and y such that
2x + 4y = 468/7
6x + 2y = 214/7 | 2x + 4y = 468/7
6x + 2y = 214/7
Using elimination
6*(2x + 4y = 468/7)
2*(6x + 2y = 214/7)
12x + 24y = 2808/7
12x + 4y = 428/7
Subtract equations
20y = 340
y = 340/20
y = 17
Substitute y
2x + 4(17) = 468/7
2x = -8/7
x = -8/7/2
x = -4/7 |
Determine x in x^3 - 34/5x^2 + 15x - 54/5 = 0 | x^3 - 34/5x^2 + 15x - 54/5 = 0
(x - 9/5)(x - 2)(x - 3) = 0
x - 9/5 = 0
x - 2 = 0
x - 3 = 0
x = 9/5
x = 2
x = 3 |
Solve x^3 - 1/6x^2 - 26/3x + 10 = 0 | x^3 - 1/6x^2 - 26/3x + 10 = 0
(x - 3/2)(x - 2)(x - -10/3) = 0
x - 3/2 = 0
x - 2 = 0
x - -10/3 = 0
x = 3/2
x = 2
x = -10/3 |
Solve simultaneously:
10x + 8y = 431/12
2x + 2y = 107/12 | 10x + 8y = 431/12
2x + 2y = 107/12
Using elimination
2*(10x + 8y = 431/12)
10*(2x + 2y = 107/12)
20x + 16y = 431/6
20x + 20y = 535/6
Subtract equations
-4y = -52/3
y = -52/3/-4
y = 13/3
Substitute y
10x + 8(13/3) = 431/12
10x = 5/4
x = 5/4/10
x = 1/8 |
Solve simultaneously:
8x + 5y = -60
8x + 7y = -68 | 8x + 5y = -60
8x + 7y = -68
Using elimination
8*(8x + 5y = -60)
8*(8x + 7y = -68)
64x + 40y = -480
64x + 56y = -544
Subtract equations
-16y = 64
y = 64/-16
y = -4
Substitute y
8x + 5(-4) = -60
8x = -40
x = -40/8
x = -5 |
What value of x satisfies 9x + 27/5 = 0 | 9x + 27/5 = 0
9x = -27/5
x = -27/5 / 9
x = -3/5 |
Solve quickly: x^2 + 32/3x + 64/3 = 0 | x^2 + 32/3x + 64/3 = 0
(x - -8/3)(x - -8) = 0
x - -8/3 = 0 or x - -8 = 0
x = -8/3
x = -8 |
Solve 6x + 51/5 = 0 | 6x + 51/5 = 0
6x = -51/5
x = -51/5 / 6
x = -17/10 |
Find x for x^3 - 25/3x^2 - 8x + 132 = 0 | x^3 - 25/3x^2 - 8x + 132 = 0
(x - -11/3)(x - 6)(x - 6) = 0
x - -11/3 = 0
x - 6 = 0
x - 6 = 0
x = -11/3
x = 6
x = 6 |
Compute the solution of x^2 + 153/35x + 76/35 = 0 | x^2 + 153/35x + 76/35 = 0
(x - -4/7)(x - -19/5) = 0
x - -4/7 = 0 or x - -19/5 = 0
x = -4/7
x = -19/5 |
Find x in x^3 - 34/3x^2 + 112/3x - 32 = 0 | x^3 - 34/3x^2 + 112/3x - 32 = 0
(x - 4/3)(x - 4)(x - 6) = 0
x - 4/3 = 0
x - 4 = 0
x - 6 = 0
x = 4/3
x = 4
x = 6 |
Solve quickly: 9x + 63/4 = 0 | 9x + 63/4 = 0
9x = -63/4
x = -63/4 / 9
x = -7/4 |
Determine x in x^3 - 3x^2 + 95/64x + 33/32 = 0 | x^3 - 3x^2 + 95/64x + 33/32 = 0
(x - -3/8)(x - 2)(x - 11/8) = 0
x - -3/8 = 0
x - 2 = 0
x - 11/8 = 0
x = -3/8
x = 2
x = 11/8 |
Find x for x^2 + 5x - 14 = 0 | x^2 + 5x - 14 = 0
(x - 2)(x - -7) = 0
x - 2 = 0 or x - -7 = 0
x = 2
x = -7 |
Solve x^2 - 47/3x - 68/3 = 0 | x^2 - 47/3x - 68/3 = 0
(x - 17)(x - -4/3) = 0
x - 17 = 0 or x - -4/3 = 0
x = 17
x = -4/3 |
What value of x satisfies 2x + 4 = 0 | 2x + 4 = 0
2x = -4
x = -4 / 2
x = -2 |
Solve quickly: x^3 + 115/3x^2 + 1174/3x + 456 = 0 | x^3 + 115/3x^2 + 1174/3x + 456 = 0
(x - -19)(x - -4/3)(x - -18) = 0
x - -19 = 0
x - -4/3 = 0
x - -18 = 0
x = -19
x = -4/3
x = -18 |
Compute the solution of x^3 - 163/90x^2 - 116/27x + 119/30 = 0 | x^3 - 163/90x^2 - 116/27x + 119/30 = 0
(x - 17/6)(x - -9/5)(x - 7/9) = 0
x - 17/6 = 0
x - -9/5 = 0
x - 7/9 = 0
x = 17/6
x = -9/5
x = 7/9 |
Find x for x^3 + 5/9x^2 - 356/81x - 320/81 = 0 | x^3 + 5/9x^2 - 356/81x - 320/81 = 0
(x - 20/9)(x - -1)(x - -16/9) = 0
x - 20/9 = 0
x - -1 = 0
x - -16/9 = 0
x = 20/9
x = -1
x = -16/9 |
Find the solution to x^2 - 43/5x - 14 = 0 | x^2 - 43/5x - 14 = 0
(x - -7/5)(x - 10) = 0
x - -7/5 = 0 or x - 10 = 0
x = -7/5
x = 10 |
Determine x in x^2 + 38/3x - 361/3 = 0 | x^2 + 38/3x - 361/3 = 0
(x - -19)(x - 19/3) = 0
x - -19 = 0 or x - 19/3 = 0
x = -19
x = 19/3 |
Determine x in 5x - 15 = 0 | 5x - 15 = 0
5x = 15
x = 15 / 5
x = 3 |
Solve 9x + 45 = 0 | 9x + 45 = 0
9x = -45
x = -45 / 9
x = -5 |
Determine x in x^2 - 35/2x + 75/2 = 0 | x^2 - 35/2x + 75/2 = 0
(x - 15)(x - 5/2) = 0
x - 15 = 0 or x - 5/2 = 0
x = 15
x = 5/2 |
Solve simultaneously:
8x + 1y = 82/5
6x + 3y = 84/5 | 8x + 1y = 82/5
6x + 3y = 84/5
Using elimination
6*(8x + 1y = 82/5)
8*(6x + 3y = 84/5)
48x + 6y = 492/5
48x + 24y = 672/5
Subtract equations
-18y = -36
y = -36/-18
y = 2
Substitute y
8x + 1(2) = 82/5
8x = 72/5
x = 72/5/8
x = 9/5 |
Find x and y such that
8x + 9y = -53
10x + 2y = -587/9 | 8x + 9y = -53
10x + 2y = -587/9
Using elimination
10*(8x + 9y = -53)
8*(10x + 2y = -587/9)
80x + 90y = -530
80x + 16y = -4696/9
Subtract equations
74y = -74/9
y = -74/9/74
y = -1/9
Substitute y
8x + 9(-1/9) = -53
8x = -52
x = -52/8
x = -13/2 |
Solve simultaneously:
1x + 1y = -8
6x + 4y = -50 | 1x + 1y = -8
6x + 4y = -50
Using elimination
6*(1x + 1y = -8)
1*(6x + 4y = -50)
6x + 6y = -48
6x + 4y = -50
Subtract equations
2y = 2
y = 2/2
y = 1
Substitute y
1x + 1(1) = -8
1x = -9
x = -9/1
x = -9 |
Find x for x^2 - 41/12x + 11/6 = 0 | x^2 - 41/12x + 11/6 = 0
(x - 2/3)(x - 11/4) = 0
x - 2/3 = 0 or x - 11/4 = 0
x = 2/3
x = 11/4 |
Find x and y such that
2x + 5y = 46/7
8x + 2y = -592/35 | 2x + 5y = 46/7
8x + 2y = -592/35
Using elimination
8*(2x + 5y = 46/7)
2*(8x + 2y = -592/35)
16x + 40y = 368/7
16x + 4y = -1184/35
Subtract equations
36y = 432/5
y = 432/5/36
y = 12/5
Substitute y
2x + 5(12/5) = 46/7
2x = -38/7
x = -38/7/2
x = -19/7 |
Solve x^3 - 49/10x^2 - 45x + 612/5 = 0 | x^3 - 49/10x^2 - 45x + 612/5 = 0
(x - 17/2)(x - 12/5)(x - -6) = 0
x - 17/2 = 0
x - 12/5 = 0
x - -6 = 0
x = 17/2
x = 12/5
x = -6 |
Find x for x^2 + 11/3x + 2 = 0 | x^2 + 11/3x + 2 = 0
(x - -2/3)(x - -3) = 0
x - -2/3 = 0 or x - -3 = 0
x = -2/3
x = -3 |
Compute the solution of 6x = 0 | 6x = 0
6x = 0
x = 0 / 6
x = 0 |
Solve 4x - 5 = 0 | 4x - 5 = 0
4x = 5
x = 5 / 4
x = 5/4 |
What value of x satisfies 1x - 15/4 = 0 | 1x - 15/4 = 0
1x = 15/4
x = 15/4 / 1
x = 15/4 |
What value of x satisfies 9x + 27/7 = 0 | 9x + 27/7 = 0
9x = -27/7
x = -27/7 / 9
x = -3/7 |
Solve quickly: x^2 + 29/6x + 5 = 0 | x^2 + 29/6x + 5 = 0
(x - -10/3)(x - -3/2) = 0
x - -10/3 = 0 or x - -3/2 = 0
x = -10/3
x = -3/2 |
Find the solution to 7x + 35/2 = 0 | 7x + 35/2 = 0
7x = -35/2
x = -35/2 / 7
x = -5/2 |
Find x in 5x - 7 = 0 | 5x - 7 = 0
5x = 7
x = 7 / 5
x = 7/5 |
Solve the equations:
2x + 10y = -76/3
5x + 9y = -662/15 | 2x + 10y = -76/3
5x + 9y = -662/15
Using elimination
5*(2x + 10y = -76/3)
2*(5x + 9y = -662/15)
10x + 50y = -380/3
10x + 18y = -1324/15
Subtract equations
32y = -192/5
y = -192/5/32
y = -6/5
Substitute y
2x + 10(-6/5) = -76/3
2x = -40/3
x = -40/3/2
x = -20/3 |
What value of x satisfies 5x - 20/3 = 0 | 5x - 20/3 = 0
5x = 20/3
x = 20/3 / 5
x = 4/3 |
Compute the solution of 9x - 36 = 0 | 9x - 36 = 0
9x = 36
x = 36 / 9
x = 4 |
Determine x in x^3 - 131/21x^2 - 1789/21x - 247/7 = 0 | x^3 - 131/21x^2 - 1789/21x - 247/7 = 0
(x - -3/7)(x - -19/3)(x - 13) = 0
x - -3/7 = 0
x - -19/3 = 0
x - 13 = 0
x = -3/7
x = -19/3
x = 13 |
Find x and y such that
8x + 6y = 22/3
8x + 2y = 10/3 | 8x + 6y = 22/3
8x + 2y = 10/3
Using elimination
8*(8x + 6y = 22/3)
8*(8x + 2y = 10/3)
64x + 48y = 176/3
64x + 16y = 80/3
Subtract equations
32y = 32
y = 32/32
y = 1
Substitute y
8x + 6(1) = 22/3
8x = 4/3
x = 4/3/8
x = 1/6 |
Find x and y such that
10x + 4y = -371/9
3x + 8y = -413/18 | 10x + 4y = -371/9
3x + 8y = -413/18
Using elimination
3*(10x + 4y = -371/9)
10*(3x + 8y = -413/18)
30x + 12y = -371/3
30x + 80y = -2065/9
Subtract equations
-68y = 952/9
y = 952/9/-68
y = -14/9
Substitute y
10x + 4(-14/9) = -371/9
10x = -35
x = -35/10
x = -7/2 |
Find the solution to x^2 + 93/4x + 323/4 = 0 | x^2 + 93/4x + 323/4 = 0
(x - -17/4)(x - -19) = 0
x - -17/4 = 0 or x - -19 = 0
x = -17/4
x = -19 |
Find x and y such that
7x + 3y = -167/8
6x + 2y = -77/4 | 7x + 3y = -167/8
6x + 2y = -77/4
Using elimination
6*(7x + 3y = -167/8)
7*(6x + 2y = -77/4)
42x + 18y = -501/4
42x + 14y = -539/4
Subtract equations
4y = 19/2
y = 19/2/4
y = 19/8
Substitute y
7x + 3(19/8) = -167/8
7x = -28
x = -28/7
x = -4 |
Solve the system:
1x + 6y = -3
5x + 3y = 12 | 1x + 6y = -3
5x + 3y = 12
Using elimination
5*(1x + 6y = -3)
1*(5x + 3y = 12)
5x + 30y = -15
5x + 3y = 12
Subtract equations
27y = -27
y = -27/27
y = -1
Substitute y
1x + 6(-1) = -3
1x = 3
x = 3/1
x = 3 |
Find x in x^3 - 17/3x^2 + 607/64x - 95/24 = 0 | x^3 - 17/3x^2 + 607/64x - 95/24 = 0
(x - 19/8)(x - 5/8)(x - 8/3) = 0
x - 19/8 = 0
x - 5/8 = 0
x - 8/3 = 0
x = 19/8
x = 5/8
x = 8/3 |
Find the solution to x^2 - 95/6x + 361/6 = 0 | x^2 - 95/6x + 361/6 = 0
(x - 19/2)(x - 19/3) = 0
x - 19/2 = 0 or x - 19/3 = 0
x = 19/2
x = 19/3 |
Solve 2x + 20/7 = 0 | 2x + 20/7 = 0
2x = -20/7
x = -20/7 / 2
x = -10/7 |
Solve the equations:
3x + 6y = 57/5
7x + 10y = 113/5 | 3x + 6y = 57/5
7x + 10y = 113/5
Using elimination
7*(3x + 6y = 57/5)
3*(7x + 10y = 113/5)
21x + 42y = 399/5
21x + 30y = 339/5
Subtract equations
12y = 12
y = 12/12
y = 1
Substitute y
3x + 6(1) = 57/5
3x = 27/5
x = 27/5/3
x = 9/5 |
What value of x satisfies x^2 + 3x - 45/16 = 0 | x^2 + 3x - 45/16 = 0
(x - -15/4)(x - 3/4) = 0
x - -15/4 = 0 or x - 3/4 = 0
x = -15/4
x = 3/4 |
Determine x in x^3 - 179/10x^2 + 227/5x - 57/2 = 0 | x^3 - 179/10x^2 + 227/5x - 57/2 = 0
(x - 15)(x - 19/10)(x - 1) = 0
x - 15 = 0
x - 19/10 = 0
x - 1 = 0
x = 15
x = 19/10
x = 1 |
Find x in 9x - 63/8 = 0 | 9x - 63/8 = 0
9x = 63/8
x = 63/8 / 9
x = 7/8 |
Find x in x^2 - 8/3x + 5/3 = 0 | x^2 - 8/3x + 5/3 = 0
(x - 5/3)(x - 1) = 0
x - 5/3 = 0 or x - 1 = 0
x = 5/3
x = 1 |
Solve the system:
6x + 10y = -131/2
4x + 9y = -53 | 6x + 10y = -131/2
4x + 9y = -53
Using elimination
4*(6x + 10y = -131/2)
6*(4x + 9y = -53)
24x + 40y = -262
24x + 54y = -318
Subtract equations
-14y = 56
y = 56/-14
y = -4
Substitute y
6x + 10(-4) = -131/2
6x = -51/2
x = -51/2/6
x = -17/4 |
Compute the solution of x^3 - 1x^2 - 37/16x + 5/8 = 0 | x^3 - 1x^2 - 37/16x + 5/8 = 0
(x - 1/4)(x - -5/4)(x - 2) = 0
x - 1/4 = 0
x - -5/4 = 0
x - 2 = 0
x = 1/4
x = -5/4
x = 2 |
Compute the solution of 5x - 100/7 = 0 | 5x - 100/7 = 0
5x = 100/7
x = 100/7 / 5
x = 20/7 |
Find the solution to 6x + 18/7 = 0 | 6x + 18/7 = 0
6x = -18/7
x = -18/7 / 6
x = -3/7 |
Find x in x^2 + 13x + 42 = 0 | x^2 + 13x + 42 = 0
(x - -6)(x - -7) = 0
x - -6 = 0 or x - -7 = 0
x = -6
x = -7 |
Find x for x^3 - 24/5x^2 + 84/25x - 16/25 = 0 | x^3 - 24/5x^2 + 84/25x - 16/25 = 0
(x - 4)(x - 2/5)(x - 2/5) = 0
x - 4 = 0
x - 2/5 = 0
x - 2/5 = 0
x = 4
x = 2/5
x = 2/5 |
Solve quickly: x^2 + 127/63x + 44/63 = 0 | x^2 + 127/63x + 44/63 = 0
(x - -11/7)(x - -4/9) = 0
x - -11/7 = 0 or x - -4/9 = 0
x = -11/7
x = -4/9 |
Determine x in x^2 + 74/21x - 16/3 = 0 | x^2 + 74/21x - 16/3 = 0
(x - -14/3)(x - 8/7) = 0
x - -14/3 = 0 or x - 8/7 = 0
x = -14/3
x = 8/7 |
Determine x in x^3 + 851/168x^2 + 157/21x + 10/3 = 0 | x^3 + 851/168x^2 + 157/21x + 10/3 = 0
(x - -7/8)(x - -20/7)(x - -4/3) = 0
x - -7/8 = 0
x - -20/7 = 0
x - -4/3 = 0
x = -7/8
x = -20/7
x = -4/3 |
Solve the equations:
9x + 10y = -227/7
10x + 9y = -401/14 | 9x + 10y = -227/7
10x + 9y = -401/14
Using elimination
10*(9x + 10y = -227/7)
9*(10x + 9y = -401/14)
90x + 100y = -2270/7
90x + 81y = -3609/14
Subtract equations
19y = -133/2
y = -133/2/19
y = -7/2
Substitute y
9x + 10(-7/2) = -227/7
9x = 18/7
x = 18/7/9
x = 2/7 |
Compute the solution of x^2 + 149/90x + 11/18 = 0 | x^2 + 149/90x + 11/18 = 0
(x - -11/10)(x - -5/9) = 0
x - -11/10 = 0 or x - -5/9 = 0
x = -11/10
x = -5/9 |
Find x for 6x - 12 = 0 | 6x - 12 = 0
6x = 12
x = 12 / 6
x = 2 |
What value of x satisfies 7x + 7/3 = 0 | 7x + 7/3 = 0
7x = -7/3
x = -7/3 / 7
x = -1/3 |
Solve the equations:
9x + 9y = -351/10
1x + 2y = -19/5 | 9x + 9y = -351/10
1x + 2y = -19/5
Using elimination
1*(9x + 9y = -351/10)
9*(1x + 2y = -19/5)
9x + 9y = -351/10
9x + 18y = -171/5
Subtract equations
-9y = -9/10
y = -9/10/-9
y = 1/10
Substitute y
9x + 9(1/10) = -351/10
9x = -36
x = -36/9
x = -4 |
Solve simultaneously:
1x + 8y = 255/8
6x + 3y = 0 | 1x + 8y = 255/8
6x + 3y = 0
Using elimination
6*(1x + 8y = 255/8)
1*(6x + 3y = 0)
6x + 48y = 765/4
6x + 3y = 0
Subtract equations
45y = 765/4
y = 765/4/45
y = 17/4
Substitute y
1x + 8(17/4) = 255/8
1x = -17/8
x = -17/8/1
x = -17/8 |
Solve quickly: 8x + 8 = 0 | 8x + 8 = 0
8x = -8
x = -8 / 8
x = -1 |
Find x in x^2 + 37/10x + 7/10 = 0 | x^2 + 37/10x + 7/10 = 0
(x - -1/5)(x - -7/2) = 0
x - -1/5 = 0 or x - -7/2 = 0
x = -1/5
x = -7/2 |
Find x for 4x - 20/9 = 0 | 4x - 20/9 = 0
4x = 20/9
x = 20/9 / 4
x = 5/9 |
Determine x in x^2 + 5/7x - 12/7 = 0 | x^2 + 5/7x - 12/7 = 0
(x - 1)(x - -12/7) = 0
x - 1 = 0 or x - -12/7 = 0
x = 1
x = -12/7 |
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