input stringlengths 13 66 | output stringlengths 30 276 |
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What value of x satisfies x^3 - 37/10x^2 + 11/20x + 21/40 = 0 | x^3 - 37/10x^2 + 11/20x + 21/40 = 0
(x - 1/2)(x - -3/10)(x - 7/2) = 0
x - 1/2 = 0
x - -3/10 = 0
x - 7/2 = 0
x = 1/2
x = -3/10
x = 7/2 |
Solve the equation x^2 - 11/3x - 26/9 = 0 | x^2 - 11/3x - 26/9 = 0
(x - 13/3)(x - -2/3) = 0
x - 13/3 = 0 or x - -2/3 = 0
x = 13/3
x = -2/3 |
Solve simultaneously:
10x + 9y = 307/5
6x + 5y = 37 | 10x + 9y = 307/5
6x + 5y = 37
Using elimination
6*(10x + 9y = 307/5)
10*(6x + 5y = 37)
60x + 54y = 1842/5
60x + 50y = 370
Subtract equations
4y = -8/5
y = -8/5/4
y = -2/5
Substitute y
10x + 9(-2/5) = 307/5
10x = 65
x = 65/10
x = 13/2 |
Compute the solution of 7x + 21 = 0 | 7x + 21 = 0
7x = -21
x = -21 / 7
x = -3 |
Solve x^2 - 17/3x - 76 = 0 | x^2 - 17/3x - 76 = 0
(x - 12)(x - -19/3) = 0
x - 12 = 0 or x - -19/3 = 0
x = 12
x = -19/3 |
Solve quickly: x^2 + 259/72x + 209/72 = 0 | x^2 + 259/72x + 209/72 = 0
(x - -19/8)(x - -11/9) = 0
x - -19/8 = 0 or x - -11/9 = 0
x = -19/8
x = -11/9 |
Solve x^2 - 4/3x - 4/3 = 0 | x^2 - 4/3x - 4/3 = 0
(x - -2/3)(x - 2) = 0
x - -2/3 = 0 or x - 2 = 0
x = -2/3
x = 2 |
Solve the equation 9x + 135/7 = 0 | 9x + 135/7 = 0
9x = -135/7
x = -135/7 / 9
x = -15/7 |
Solve the equations:
10x + 10y = -100/3
1x + 8y = -52/3 | 10x + 10y = -100/3
1x + 8y = -52/3
Using elimination
1*(10x + 10y = -100/3)
10*(1x + 8y = -52/3)
10x + 10y = -100/3
10x + 80y = -520/3
Subtract equations
-70y = 140
y = 140/-70
y = -2
Substitute y
10x + 10(-2) = -100/3
10x = -40/3
x = -40/3/10
x = -4/3 |
Find x for x^2 + 55/4x + 323/8 = 0 | x^2 + 55/4x + 323/8 = 0
(x - -17/4)(x - -19/2) = 0
x - -17/4 = 0 or x - -19/2 = 0
x = -17/4
x = -19/2 |
Solve x^2 - 7/3x - 26/3 = 0 | x^2 - 7/3x - 26/3 = 0
(x - -2)(x - 13/3) = 0
x - -2 = 0 or x - 13/3 = 0
x = -2
x = 13/3 |
Compute the solution of x^2 - 13/4x - 3 = 0 | x^2 - 13/4x - 3 = 0
(x - 4)(x - -3/4) = 0
x - 4 = 0 or x - -3/4 = 0
x = 4
x = -3/4 |
Solve the system:
6x + 3y = 446/21
7x + 3y = 1471/63 | 6x + 3y = 446/21
7x + 3y = 1471/63
Using elimination
7*(6x + 3y = 446/21)
6*(7x + 3y = 1471/63)
42x + 21y = 446/3
42x + 18y = 2942/21
Subtract equations
3y = 60/7
y = 60/7/3
y = 20/7
Substitute y
6x + 3(20/7) = 446/21
6x = 38/3
x = 38/3/6
x = 19/9 |
Find x for 8x + 136/9 = 0 | 8x + 136/9 = 0
8x = -136/9
x = -136/9 / 8
x = -17/9 |
Solve the equation x^2 - 39/40x - 1 = 0 | x^2 - 39/40x - 1 = 0
(x - 8/5)(x - -5/8) = 0
x - 8/5 = 0 or x - -5/8 = 0
x = 8/5
x = -5/8 |
Solve the equation 7x + 119/4 = 0 | 7x + 119/4 = 0
7x = -119/4
x = -119/4 / 7
x = -17/4 |
Determine x in x^2 - 71/8x - 45/4 = 0 | x^2 - 71/8x - 45/4 = 0
(x - 10)(x - -9/8) = 0
x - 10 = 0 or x - -9/8 = 0
x = 10
x = -9/8 |
Solve quickly: 1x + 3/4 = 0 | 1x + 3/4 = 0
1x = -3/4
x = -3/4 / 1
x = -3/4 |
Determine x in x^2 + 3/8x - 13/4 = 0 | x^2 + 3/8x - 13/4 = 0
(x - 13/8)(x - -2) = 0
x - 13/8 = 0 or x - -2 = 0
x = 13/8
x = -2 |
Find the solution to x^2 - 15/7x = 0 | x^2 - 15/7x = 0
(x - 15/7)(x - 0) = 0
x - 15/7 = 0 or x - 0 = 0
x = 15/7
x = 0 |
Find x and y such that
9x + 4y = -98/5
1x + 10y = -6 | 9x + 4y = -98/5
1x + 10y = -6
Using elimination
1*(9x + 4y = -98/5)
9*(1x + 10y = -6)
9x + 4y = -98/5
9x + 90y = -54
Subtract equations
-86y = 172/5
y = 172/5/-86
y = -2/5
Substitute y
9x + 4(-2/5) = -98/5
9x = -18
x = -18/9
x = -2 |
Determine x in x^3 + 21x^2 + 104x = 0 | x^3 + 21x^2 + 104x = 0
(x - 0)(x - -8)(x - -13) = 0
x - 0 = 0
x - -8 = 0
x - -13 = 0
x = 0
x = -8
x = -13 |
Determine x in x^2 + 3/2x + 11/25 = 0 | x^2 + 3/2x + 11/25 = 0
(x - -11/10)(x - -2/5) = 0
x - -11/10 = 0 or x - -2/5 = 0
x = -11/10
x = -2/5 |
Find x and y such that
3x + 2y = 19/2
9x + 10y = 71/2 | 3x + 2y = 19/2
9x + 10y = 71/2
Using elimination
9*(3x + 2y = 19/2)
3*(9x + 10y = 71/2)
27x + 18y = 171/2
27x + 30y = 213/2
Subtract equations
-12y = -21
y = -21/-12
y = 7/4
Substitute y
3x + 2(7/4) = 19/2
3x = 6
x = 6/3
x = 2 |
Find x in 3x + 18 = 0 | 3x + 18 = 0
3x = -18
x = -18 / 3
x = -6 |
Determine x in 8x - 40/3 = 0 | 8x - 40/3 = 0
8x = 40/3
x = 40/3 / 8
x = 5/3 |
Find x in x^2 + 11/8x - 5/4 = 0 | x^2 + 11/8x - 5/4 = 0
(x - -2)(x - 5/8) = 0
x - -2 = 0 or x - 5/8 = 0
x = -2
x = 5/8 |
Solve simultaneously:
9x + 5y = -91/2
9x + 3y = -93/2 | 9x + 5y = -91/2
9x + 3y = -93/2
Using elimination
9*(9x + 5y = -91/2)
9*(9x + 3y = -93/2)
81x + 45y = -819/2
81x + 27y = -837/2
Subtract equations
18y = 9
y = 9/18
y = 1/2
Substitute y
9x + 5(1/2) = -91/2
9x = -48
x = -48/9
x = -16/3 |
Solve simultaneously:
1x + 10y = -9/4
8x + 1y = -18 | 1x + 10y = -9/4
8x + 1y = -18
Using elimination
8*(1x + 10y = -9/4)
1*(8x + 1y = -18)
8x + 80y = -18
8x + 1y = -18
Subtract equations
79y = 0
y = 0/79
y = 0
Substitute y
1x + 10(0) = -9/4
1x = -9/4
x = -9/4/1
x = -9/4 |
Solve 10x + 15/2 = 0 | 10x + 15/2 = 0
10x = -15/2
x = -15/2 / 10
x = -3/4 |
Find x for 4x - 38 = 0 | 4x - 38 = 0
4x = 38
x = 38 / 4
x = 19/2 |
Solve quickly: x^2 + 13/4x - 3 = 0 | x^2 + 13/4x - 3 = 0
(x - 3/4)(x - -4) = 0
x - 3/4 = 0 or x - -4 = 0
x = 3/4
x = -4 |
What value of x satisfies 4x + 11/2 = 0 | 4x + 11/2 = 0
4x = -11/2
x = -11/2 / 4
x = -11/8 |
Solve 1x - 1/3 = 0 | 1x - 1/3 = 0
1x = 1/3
x = 1/3 / 1
x = 1/3 |
What value of x satisfies x^3 + 23/3x^2 + 2x - 56/3 = 0 | x^3 + 23/3x^2 + 2x - 56/3 = 0
(x - -7)(x - -2)(x - 4/3) = 0
x - -7 = 0
x - -2 = 0
x - 4/3 = 0
x = -7
x = -2
x = 4/3 |
Solve quickly: 5x - 13 = 0 | 5x - 13 = 0
5x = 13
x = 13 / 5
x = 13/5 |
Solve x^3 - 29/36x^2 - 161/54x - 49/36 = 0 | x^3 - 29/36x^2 - 161/54x - 49/36 = 0
(x - -3/4)(x - -7/9)(x - 7/3) = 0
x - -3/4 = 0
x - -7/9 = 0
x - 7/3 = 0
x = -3/4
x = -7/9
x = 7/3 |
Determine x in x^3 - 31/40x^2 - 361/160x + 77/80 = 0 | x^3 - 31/40x^2 - 361/160x + 77/80 = 0
(x - 7/4)(x - 2/5)(x - -11/8) = 0
x - 7/4 = 0
x - 2/5 = 0
x - -11/8 = 0
x = 7/4
x = 2/5
x = -11/8 |
Solve simultaneously:
4x + 4y = 58/9
4x + 7y = 143/18 | 4x + 4y = 58/9
4x + 7y = 143/18
Using elimination
4*(4x + 4y = 58/9)
4*(4x + 7y = 143/18)
16x + 16y = 232/9
16x + 28y = 286/9
Subtract equations
-12y = -6
y = -6/-12
y = 1/2
Substitute y
4x + 4(1/2) = 58/9
4x = 40/9
x = 40/9/4
x = 10/9 |
Solve the system:
10x + 6y = 79/7
6x + 4y = 46/7 | 10x + 6y = 79/7
6x + 4y = 46/7
Using elimination
6*(10x + 6y = 79/7)
10*(6x + 4y = 46/7)
60x + 36y = 474/7
60x + 40y = 460/7
Subtract equations
-4y = 2
y = 2/-4
y = -1/2
Substitute y
10x + 6(-1/2) = 79/7
10x = 100/7
x = 100/7/10
x = 10/7 |
Determine x in x^3 + 53/12x^2 - 52/3x + 21/4 = 0 | x^3 + 53/12x^2 - 52/3x + 21/4 = 0
(x - 9/4)(x - 1/3)(x - -7) = 0
x - 9/4 = 0
x - 1/3 = 0
x - -7 = 0
x = 9/4
x = 1/3
x = -7 |
Find x for x^2 - 87/8x - 27/2 = 0 | x^2 - 87/8x - 27/2 = 0
(x - -9/8)(x - 12) = 0
x - -9/8 = 0 or x - 12 = 0
x = -9/8
x = 12 |
Solve quickly: x^3 - 43/70x^2 - 5/14x - 1/35 = 0 | x^3 - 43/70x^2 - 5/14x - 1/35 = 0
(x - -1/10)(x - 1)(x - -2/7) = 0
x - -1/10 = 0
x - 1 = 0
x - -2/7 = 0
x = -1/10
x = 1
x = -2/7 |
Find x in 8x + 40/3 = 0 | 8x + 40/3 = 0
8x = -40/3
x = -40/3 / 8
x = -5/3 |
Find the solution to x^3 + 9/2x^2 - 9x = 0 | x^3 + 9/2x^2 - 9x = 0
(x - 0)(x - 3/2)(x - -6) = 0
x - 0 = 0
x - 3/2 = 0
x - -6 = 0
x = 0
x = 3/2
x = -6 |
Solve simultaneously:
10x + 1y = -493/42
3x + 5y = -773/42 | 10x + 1y = -493/42
3x + 5y = -773/42
Using elimination
3*(10x + 1y = -493/42)
10*(3x + 5y = -773/42)
30x + 3y = -493/14
30x + 50y = -3865/21
Subtract equations
-47y = 893/6
y = 893/6/-47
y = -19/6
Substitute y
10x + 1(-19/6) = -493/42
10x = -60/7
x = -60/7/10
x = -6/7 |
Solve the equation 10x + 160 = 0 | 10x + 160 = 0
10x = -160
x = -160 / 10
x = -16 |
Solve the equation x^2 - 19/3x - 68 = 0 | x^2 - 19/3x - 68 = 0
(x - -17/3)(x - 12) = 0
x - -17/3 = 0 or x - 12 = 0
x = -17/3
x = 12 |
Find x in x^3 + 10x^2 - 1349/25x + 714/25 = 0 | x^3 + 10x^2 - 1349/25x + 714/25 = 0
(x - 17/5)(x - -14)(x - 3/5) = 0
x - 17/5 = 0
x - -14 = 0
x - 3/5 = 0
x = 17/5
x = -14
x = 3/5 |
Determine x in 1x - 5/3 = 0 | 1x - 5/3 = 0
1x = 5/3
x = 5/3 / 1
x = 5/3 |
Find x and y such that
7x + 4y = 4/3
2x + 1y = 2/3 | 7x + 4y = 4/3
2x + 1y = 2/3
Using elimination
2*(7x + 4y = 4/3)
7*(2x + 1y = 2/3)
14x + 8y = 8/3
14x + 7y = 14/3
Subtract equations
1y = -2
y = -2/1
y = -2
Substitute y
7x + 4(-2) = 4/3
7x = 28/3
x = 28/3/7
x = 4/3 |
Solve the equation x^3 - 49/4x^2 + 329/8x - 165/4 = 0 | x^3 - 49/4x^2 + 329/8x - 165/4 = 0
(x - 11/4)(x - 2)(x - 15/2) = 0
x - 11/4 = 0
x - 2 = 0
x - 15/2 = 0
x = 11/4
x = 2
x = 15/2 |
Find x and y such that
3x + 9y = -933/56
10x + 9y = -1493/56 | 3x + 9y = -933/56
10x + 9y = -1493/56
Using elimination
10*(3x + 9y = -933/56)
3*(10x + 9y = -1493/56)
30x + 90y = -4665/28
30x + 27y = -4479/56
Subtract equations
63y = -693/8
y = -693/8/63
y = -11/8
Substitute y
3x + 9(-11/8) = -933/56
3x = -30/7
x = -30/7/3
x = -10/7 |
Solve x^2 - 5x - 6 = 0 | x^2 - 5x - 6 = 0
(x - -1)(x - 6) = 0
x - -1 = 0 or x - 6 = 0
x = -1
x = 6 |
Solve quickly: x^2 + 25/3x + 38/3 = 0 | x^2 + 25/3x + 38/3 = 0
(x - -2)(x - -19/3) = 0
x - -2 = 0 or x - -19/3 = 0
x = -2
x = -19/3 |
Solve x^3 + 454/45x^2 - 169/45x - 418/9 = 0 | x^3 + 454/45x^2 - 169/45x - 418/9 = 0
(x - -11/5)(x - 19/9)(x - -10) = 0
x - -11/5 = 0
x - 19/9 = 0
x - -10 = 0
x = -11/5
x = 19/9
x = -10 |
Find x in x^2 + 23/6x - 2/3 = 0 | x^2 + 23/6x - 2/3 = 0
(x - 1/6)(x - -4) = 0
x - 1/6 = 0 or x - -4 = 0
x = 1/6
x = -4 |
What value of x satisfies x^3 - 11/18x^2 - 13/9x + 1/6 = 0 | x^3 - 11/18x^2 - 13/9x + 1/6 = 0
(x - 3/2)(x - -1)(x - 1/9) = 0
x - 3/2 = 0
x - -1 = 0
x - 1/9 = 0
x = 3/2
x = -1
x = 1/9 |
Solve the system:
9x + 3y = 67/5
8x + 3y = 64/5 | 9x + 3y = 67/5
8x + 3y = 64/5
Using elimination
8*(9x + 3y = 67/5)
9*(8x + 3y = 64/5)
72x + 24y = 536/5
72x + 27y = 576/5
Subtract equations
-3y = -8
y = -8/-3
y = 8/3
Substitute y
9x + 3(8/3) = 67/5
9x = 27/5
x = 27/5/9
x = 3/5 |
What value of x satisfies 8x - 40 = 0 | 8x - 40 = 0
8x = 40
x = 40 / 8
x = 5 |
Find the solution to x^2 + 2x + 3/4 = 0 | x^2 + 2x + 3/4 = 0
(x - -3/2)(x - -1/2) = 0
x - -3/2 = 0 or x - -1/2 = 0
x = -3/2
x = -1/2 |
Find the solution to 10x + 26 = 0 | 10x + 26 = 0
10x = -26
x = -26 / 10
x = -13/5 |
Find x in x^3 + 941/56x^2 - 177/8x - 297/28 = 0 | x^3 + 941/56x^2 - 177/8x - 297/28 = 0
(x - -18)(x - -3/8)(x - 11/7) = 0
x - -18 = 0
x - -3/8 = 0
x - 11/7 = 0
x = -18
x = -3/8
x = 11/7 |
Find the solution to x^2 - 22/5x + 17/5 = 0 | x^2 - 22/5x + 17/5 = 0
(x - 17/5)(x - 1) = 0
x - 17/5 = 0 or x - 1 = 0
x = 17/5
x = 1 |
What value of x satisfies x^3 - 9/35x^2 - 34/7x - 24/35 = 0 | x^3 - 9/35x^2 - 34/7x - 24/35 = 0
(x - -2)(x - -1/7)(x - 12/5) = 0
x - -2 = 0
x - -1/7 = 0
x - 12/5 = 0
x = -2
x = -1/7
x = 12/5 |
Solve the equations:
9x + 7y = 729/70
8x + 2y = 457/35 | 9x + 7y = 729/70
8x + 2y = 457/35
Using elimination
8*(9x + 7y = 729/70)
9*(8x + 2y = 457/35)
72x + 56y = 2916/35
72x + 18y = 4113/35
Subtract equations
38y = -171/5
y = -171/5/38
y = -9/10
Substitute y
9x + 7(-9/10) = 729/70
9x = 117/7
x = 117/7/9
x = 13/7 |
Solve the equation x^3 + 138/35x^2 + 113/25x + 264/175 = 0 | x^3 + 138/35x^2 + 113/25x + 264/175 = 0
(x - -11/5)(x - -8/7)(x - -3/5) = 0
x - -11/5 = 0
x - -8/7 = 0
x - -3/5 = 0
x = -11/5
x = -8/7
x = -3/5 |
Find x and y such that
6x + 6y = 300/7
7x + 9y = 60 | 6x + 6y = 300/7
7x + 9y = 60
Using elimination
7*(6x + 6y = 300/7)
6*(7x + 9y = 60)
42x + 42y = 300
42x + 54y = 360
Subtract equations
-12y = -60
y = -60/-12
y = 5
Substitute y
6x + 6(5) = 300/7
6x = 90/7
x = 90/7/6
x = 15/7 |
Solve the equations:
8x + 2y = -10/21
6x + 10y = 766/21 | 8x + 2y = -10/21
6x + 10y = 766/21
Using elimination
6*(8x + 2y = -10/21)
8*(6x + 10y = 766/21)
48x + 12y = -20/7
48x + 80y = 6128/21
Subtract equations
-68y = -884/3
y = -884/3/-68
y = 13/3
Substitute y
8x + 2(13/3) = -10/21
8x = -64/7
x = -64/7/8
x = -8/7 |
Find x in x^3 - 58/21x^2 - 19/21x + 4/7 = 0 | x^3 - 58/21x^2 - 19/21x + 4/7 = 0
(x - 1/3)(x - -4/7)(x - 3) = 0
x - 1/3 = 0
x - -4/7 = 0
x - 3 = 0
x = 1/3
x = -4/7
x = 3 |
Find x for x^2 - 37/10x + 21/10 = 0 | x^2 - 37/10x + 21/10 = 0
(x - 7/10)(x - 3) = 0
x - 7/10 = 0 or x - 3 = 0
x = 7/10
x = 3 |
Solve the equations:
10x + 2y = -826/9
1x + 10y = -161/9 | 10x + 2y = -826/9
1x + 10y = -161/9
Using elimination
1*(10x + 2y = -826/9)
10*(1x + 10y = -161/9)
10x + 2y = -826/9
10x + 100y = -1610/9
Subtract equations
-98y = 784/9
y = 784/9/-98
y = -8/9
Substitute y
10x + 2(-8/9) = -826/9
10x = -90
x = -90/10
x = -9 |
Solve the equations:
4x + 10y = 472/9
3x + 5y = 73/3 | 4x + 10y = 472/9
3x + 5y = 73/3
Using elimination
3*(4x + 10y = 472/9)
4*(3x + 5y = 73/3)
12x + 30y = 472/3
12x + 20y = 292/3
Subtract equations
10y = 60
y = 60/10
y = 6
Substitute y
4x + 10(6) = 472/9
4x = -68/9
x = -68/9/4
x = -17/9 |
Find x in x^2 + 6/7x - 13/7 = 0 | x^2 + 6/7x - 13/7 = 0
(x - -13/7)(x - 1) = 0
x - -13/7 = 0 or x - 1 = 0
x = -13/7
x = 1 |
Solve quickly: x^2 - 13/8x + 21/32 = 0 | x^2 - 13/8x + 21/32 = 0
(x - 7/8)(x - 3/4) = 0
x - 7/8 = 0 or x - 3/4 = 0
x = 7/8
x = 3/4 |
Compute the solution of x^2 + 93/20x + 17/10 = 0 | x^2 + 93/20x + 17/10 = 0
(x - -17/4)(x - -2/5) = 0
x - -17/4 = 0 or x - -2/5 = 0
x = -17/4
x = -2/5 |
Determine x in 8x + 64/5 = 0 | 8x + 64/5 = 0
8x = -64/5
x = -64/5 / 8
x = -8/5 |
Solve simultaneously:
1x + 5y = 155/12
1x + 7y = 211/12 | 1x + 5y = 155/12
1x + 7y = 211/12
Using elimination
1*(1x + 5y = 155/12)
1*(1x + 7y = 211/12)
1x + 5y = 155/12
1x + 7y = 211/12
Subtract equations
-2y = -14/3
y = -14/3/-2
y = 7/3
Substitute y
1x + 5(7/3) = 155/12
1x = 5/4
x = 5/4/1
x = 5/4 |
Find x for 10x - 70/3 = 0 | 10x - 70/3 = 0
10x = 70/3
x = 70/3 / 10
x = 7/3 |
Find the solution to 7x - 112/3 = 0 | 7x - 112/3 = 0
7x = 112/3
x = 112/3 / 7
x = 16/3 |
Find the solution to x^2 - 1/2x - 5 = 0 | x^2 - 1/2x - 5 = 0
(x - -2)(x - 5/2) = 0
x - -2 = 0 or x - 5/2 = 0
x = -2
x = 5/2 |
Solve the equation 4x - 4 = 0 | 4x - 4 = 0
4x = 4
x = 4 / 4
x = 1 |
Solve quickly: 5x - 65 = 0 | 5x - 65 = 0
5x = 65
x = 65 / 5
x = 13 |
Find x in x^3 - 11/6x^2 + 61/162x + 5/27 = 0 | x^3 - 11/6x^2 + 61/162x + 5/27 = 0
(x - 3/2)(x - -2/9)(x - 5/9) = 0
x - 3/2 = 0
x - -2/9 = 0
x - 5/9 = 0
x = 3/2
x = -2/9
x = 5/9 |
Solve x^2 + 1/2x - 18 = 0 | x^2 + 1/2x - 18 = 0
(x - -9/2)(x - 4) = 0
x - -9/2 = 0 or x - 4 = 0
x = -9/2
x = 4 |
Find the solution to 2x + 7/5 = 0 | 2x + 7/5 = 0
2x = -7/5
x = -7/5 / 2
x = -7/10 |
Solve x^2 - 27/4x + 81/8 = 0 | x^2 - 27/4x + 81/8 = 0
(x - 9/2)(x - 9/4) = 0
x - 9/2 = 0 or x - 9/4 = 0
x = 9/2
x = 9/4 |
Solve the equation 9x - 12 = 0 | 9x - 12 = 0
9x = 12
x = 12 / 9
x = 4/3 |
Solve the equation 7x - 14 = 0 | 7x - 14 = 0
7x = 14
x = 14 / 7
x = 2 |
What value of x satisfies x^2 - 2/3x + 5/81 = 0 | x^2 - 2/3x + 5/81 = 0
(x - 1/9)(x - 5/9) = 0
x - 1/9 = 0 or x - 5/9 = 0
x = 1/9
x = 5/9 |
Find x in x^3 - 97/40x^2 + 191/160x + 11/32 = 0 | x^3 - 97/40x^2 + 191/160x + 11/32 = 0
(x - 11/8)(x - 5/4)(x - -1/5) = 0
x - 11/8 = 0
x - 5/4 = 0
x - -1/5 = 0
x = 11/8
x = 5/4
x = -1/5 |
Solve simultaneously:
5x + 8y = 53/5
1x + 10y = -13 | 5x + 8y = 53/5
1x + 10y = -13
Using elimination
1*(5x + 8y = 53/5)
5*(1x + 10y = -13)
5x + 8y = 53/5
5x + 50y = -65
Subtract equations
-42y = 378/5
y = 378/5/-42
y = -9/5
Substitute y
5x + 8(-9/5) = 53/5
5x = 25
x = 25/5
x = 5 |
Solve the equations:
9x + 3y = 33/2
5x + 4y = 129/10 | 9x + 3y = 33/2
5x + 4y = 129/10
Using elimination
5*(9x + 3y = 33/2)
9*(5x + 4y = 129/10)
45x + 15y = 165/2
45x + 36y = 1161/10
Subtract equations
-21y = -168/5
y = -168/5/-21
y = 8/5
Substitute y
9x + 3(8/5) = 33/2
9x = 117/10
x = 117/10/9
x = 13/10 |
Determine x in x^3 - 16x^2 - 76x - 80 = 0 | x^3 - 16x^2 - 76x - 80 = 0
(x - -2)(x - -2)(x - 20) = 0
x - -2 = 0
x - -2 = 0
x - 20 = 0
x = -2
x = -2
x = 20 |
Solve the system:
4x + 4y = 8
1x + 5y = 22/3 | 4x + 4y = 8
1x + 5y = 22/3
Using elimination
1*(4x + 4y = 8)
4*(1x + 5y = 22/3)
4x + 4y = 8
4x + 20y = 88/3
Subtract equations
-16y = -64/3
y = -64/3/-16
y = 4/3
Substitute y
4x + 4(4/3) = 8
4x = 8/3
x = 8/3/4
x = 2/3 |
Solve simultaneously:
4x + 5y = 61/5
2x + 3y = 33/5 | 4x + 5y = 61/5
2x + 3y = 33/5
Using elimination
2*(4x + 5y = 61/5)
4*(2x + 3y = 33/5)
8x + 10y = 122/5
8x + 12y = 132/5
Subtract equations
-2y = -2
y = -2/-2
y = 1
Substitute y
4x + 5(1) = 61/5
4x = 36/5
x = 36/5/4
x = 9/5 |
Find x in x^3 + 152/63x^2 - 281/189x - 884/189 = 0 | x^3 + 152/63x^2 - 281/189x - 884/189 = 0
(x - -13/7)(x - -17/9)(x - 4/3) = 0
x - -13/7 = 0
x - -17/9 = 0
x - 4/3 = 0
x = -13/7
x = -17/9
x = 4/3 |
Solve the equation x^2 - 19/8x = 0 | x^2 - 19/8x = 0
(x - 19/8)(x - 0) = 0
x - 19/8 = 0 or x - 0 = 0
x = 19/8
x = 0 |
Find x in x^2 - 13/18x - 10/3 = 0 | x^2 - 13/18x - 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 |
Solve x^3 - 1/15x^2 - 16/3x - 64/15 = 0 | x^3 - 1/15x^2 - 16/3x - 64/15 = 0
(x - -8/5)(x - 8/3)(x - -1) = 0
x - -8/5 = 0
x - 8/3 = 0
x - -1 = 0
x = -8/5
x = 8/3
x = -1 |
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