input stringlengths 13 66 | output stringlengths 30 276 |
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Find x and y such that
2x + 7y = 247/35
8x + 9y = 589/35 | 2x + 7y = 247/35
8x + 9y = 589/35
Using elimination
8*(2x + 7y = 247/35)
2*(8x + 9y = 589/35)
16x + 56y = 1976/35
16x + 18y = 1178/35
Subtract equations
38y = 114/5
y = 114/5/38
y = 3/5
Substitute y
2x + 7(3/5) = 247/35
2x = 20/7
x = 20/7/2
x = 10/7 |
Solve quickly: 7x - 7/5 = 0 | 7x - 7/5 = 0
7x = 7/5
x = 7/5 / 7
x = 1/5 |
Solve the equations:
1x + 8y = 12
5x + 9y = -2 | 1x + 8y = 12
5x + 9y = -2
Using elimination
5*(1x + 8y = 12)
1*(5x + 9y = -2)
5x + 40y = 60
5x + 9y = -2
Subtract equations
31y = 62
y = 62/31
y = 2
Substitute y
1x + 8(2) = 12
1x = -4
x = -4/1
x = -4 |
Find x in 9x + 99/8 = 0 | 9x + 99/8 = 0
9x = -99/8
x = -99/8 / 9
x = -11/8 |
Solve simultaneously:
3x + 6y = 93/7
5x + 7y = 17 | 3x + 6y = 93/7
5x + 7y = 17
Using elimination
5*(3x + 6y = 93/7)
3*(5x + 7y = 17)
15x + 30y = 465/7
15x + 21y = 51
Subtract equations
9y = 108/7
y = 108/7/9
y = 12/7
Substitute y
3x + 6(12/7) = 93/7
3x = 3
x = 3/3
x = 1 |
Compute the solution of 8x - 26 = 0 | 8x - 26 = 0
8x = 26
x = 26 / 8
x = 13/4 |
Solve quickly: x^2 + 151/72x + 77/72 = 0 | x^2 + 151/72x + 77/72 = 0
(x - -11/9)(x - -7/8) = 0
x - -11/9 = 0 or x - -7/8 = 0
x = -11/9
x = -7/8 |
Find x for x^2 - 37/6x - 10/3 = 0 | x^2 - 37/6x - 10/3 = 0
(x - -1/2)(x - 20/3) = 0
x - -1/2 = 0 or x - 20/3 = 0
x = -1/2
x = 20/3 |
Find x for x^3 - 27/4x^2 - 19x - 45/4 = 0 | x^3 - 27/4x^2 - 19x - 45/4 = 0
(x - -5/4)(x - -1)(x - 9) = 0
x - -5/4 = 0
x - -1 = 0
x - 9 = 0
x = -5/4
x = -1
x = 9 |
Find x and y such that
8x + 10y = -346/3
9x + 6y = -128 | 8x + 10y = -346/3
9x + 6y = -128
Using elimination
9*(8x + 10y = -346/3)
8*(9x + 6y = -128)
72x + 90y = -1038
72x + 48y = -1024
Subtract equations
42y = -14
y = -14/42
y = -1/3
Substitute y
8x + 10(-1/3) = -346/3
8x = -112
x = -112/8
x = -14 |
Solve quickly: x^2 - 81/70x - 13/70 = 0 | x^2 - 81/70x - 13/70 = 0
(x - 13/10)(x - -1/7) = 0
x - 13/10 = 0 or x - -1/7 = 0
x = 13/10
x = -1/7 |
Find the solution to x^2 + 5/3x - 2/3 = 0 | x^2 + 5/3x - 2/3 = 0
(x - 1/3)(x - -2) = 0
x - 1/3 = 0 or x - -2 = 0
x = 1/3
x = -2 |
Find x and y such that
9x + 6y = -123/5
3x + 9y = -174/5 | 9x + 6y = -123/5
3x + 9y = -174/5
Using elimination
3*(9x + 6y = -123/5)
9*(3x + 9y = -174/5)
27x + 18y = -369/5
27x + 81y = -1566/5
Subtract equations
-63y = 1197/5
y = 1197/5/-63
y = -19/5
Substitute y
9x + 6(-19/5) = -123/5
9x = -9/5
x = -9/5/9
x = -1/5 |
Find x for x^3 - 943/315x^2 + 64/35x - 16/63 = 0 | x^3 - 943/315x^2 + 64/35x - 16/63 = 0
(x - 1/5)(x - 4/7)(x - 20/9) = 0
x - 1/5 = 0
x - 4/7 = 0
x - 20/9 = 0
x = 1/5
x = 4/7
x = 20/9 |
Find the solution to x^3 + 37/5x^2 + 99/20x - 117/20 = 0 | x^3 + 37/5x^2 + 99/20x - 117/20 = 0
(x - 3/5)(x - -13/2)(x - -3/2) = 0
x - 3/5 = 0
x - -13/2 = 0
x - -3/2 = 0
x = 3/5
x = -13/2
x = -3/2 |
Solve the system:
9x + 6y = 62
8x + 2y = 112/3 | 9x + 6y = 62
8x + 2y = 112/3
Using elimination
8*(9x + 6y = 62)
9*(8x + 2y = 112/3)
72x + 48y = 496
72x + 18y = 336
Subtract equations
30y = 160
y = 160/30
y = 16/3
Substitute y
9x + 6(16/3) = 62
9x = 30
x = 30/9
x = 10/3 |
Determine x in x^3 + 61/9x^2 - 86/9x + 16/9 = 0 | x^3 + 61/9x^2 - 86/9x + 16/9 = 0
(x - -8)(x - 1)(x - 2/9) = 0
x - -8 = 0
x - 1 = 0
x - 2/9 = 0
x = -8
x = 1
x = 2/9 |
Solve the equations:
9x + 10y = -3
8x + 1y = 173/15 | 9x + 10y = -3
8x + 1y = 173/15
Using elimination
8*(9x + 10y = -3)
9*(8x + 1y = 173/15)
72x + 80y = -24
72x + 9y = 519/5
Subtract equations
71y = -639/5
y = -639/5/71
y = -9/5
Substitute y
9x + 10(-9/5) = -3
9x = 15
x = 15/9
x = 5/3 |
Determine x in 2x + 8/3 = 0 | 2x + 8/3 = 0
2x = -8/3
x = -8/3 / 2
x = -4/3 |
Find x in 10x - 12 = 0 | 10x - 12 = 0
10x = 12
x = 12 / 10
x = 6/5 |
Determine x in x^3 - 83/35x^2 - 452/245x + 608/245 = 0 | x^3 - 83/35x^2 - 452/245x + 608/245 = 0
(x - 19/7)(x - -8/7)(x - 4/5) = 0
x - 19/7 = 0
x - -8/7 = 0
x - 4/5 = 0
x = 19/7
x = -8/7
x = 4/5 |
Solve the equations:
4x + 3y = -11/9
5x + 7y = 1 | 4x + 3y = -11/9
5x + 7y = 1
Using elimination
5*(4x + 3y = -11/9)
4*(5x + 7y = 1)
20x + 15y = -55/9
20x + 28y = 4
Subtract equations
-13y = -91/9
y = -91/9/-13
y = 7/9
Substitute y
4x + 3(7/9) = -11/9
4x = -32/9
x = -32/9/4
x = -8/9 |
Find x for x^3 - 27/10x^2 - 53/20x - 21/40 = 0 | x^3 - 27/10x^2 - 53/20x - 21/40 = 0
(x - -3/10)(x - 7/2)(x - -1/2) = 0
x - -3/10 = 0
x - 7/2 = 0
x - -1/2 = 0
x = -3/10
x = 7/2
x = -1/2 |
What value of x satisfies x^2 - 64/25 = 0 | x^2 - 64/25 = 0
(x - 8/5)(x - -8/5) = 0
x - 8/5 = 0 or x - -8/5 = 0
x = 8/5
x = -8/5 |
Find x for 2x - 1/5 = 0 | 2x - 1/5 = 0
2x = 1/5
x = 1/5 / 2
x = 1/10 |
Solve quickly: 1x - 3 = 0 | 1x - 3 = 0
1x = 3
x = 3 / 1
x = 3 |
Find x and y such that
2x + 7y = 61/5
3x + 10y = 71/4 | 2x + 7y = 61/5
3x + 10y = 71/4
Using elimination
3*(2x + 7y = 61/5)
2*(3x + 10y = 71/4)
6x + 21y = 183/5
6x + 20y = 71/2
Subtract equations
1y = 11/10
y = 11/10/1
y = 11/10
Substitute y
2x + 7(11/10) = 61/5
2x = 9/2
x = 9/2/2
x = 9/4 |
Solve x^3 + 89/30x^2 + 19/15x - 3/2 = 0 | x^3 + 89/30x^2 + 19/15x - 3/2 = 0
(x - -9/5)(x - -5/3)(x - 1/2) = 0
x - -9/5 = 0
x - -5/3 = 0
x - 1/2 = 0
x = -9/5
x = -5/3
x = 1/2 |
Compute the solution of x^2 + 3x - 40 = 0 | x^2 + 3x - 40 = 0
(x - -8)(x - 5) = 0
x - -8 = 0 or x - 5 = 0
x = -8
x = 5 |
Solve quickly: 8x + 128/3 = 0 | 8x + 128/3 = 0
8x = -128/3
x = -128/3 / 8
x = -16/3 |
Find the solution to x^2 - 2/5x - 3/25 = 0 | x^2 - 2/5x - 3/25 = 0
(x - 3/5)(x - -1/5) = 0
x - 3/5 = 0 or x - -1/5 = 0
x = 3/5
x = -1/5 |
Find x and y such that
1x + 5y = -161/8
9x + 6y = -201/8 | 1x + 5y = -161/8
9x + 6y = -201/8
Using elimination
9*(1x + 5y = -161/8)
1*(9x + 6y = -201/8)
9x + 45y = -1449/8
9x + 6y = -201/8
Subtract equations
39y = -156
y = -156/39
y = -4
Substitute y
1x + 5(-4) = -161/8
1x = -1/8
x = -1/8/1
x = -1/8 |
Compute the solution of x^2 - 19/6x - 6 = 0 | x^2 - 19/6x - 6 = 0
(x - 9/2)(x - -4/3) = 0
x - 9/2 = 0 or x - -4/3 = 0
x = 9/2
x = -4/3 |
Find x in x^2 - 47/18x + 5/18 = 0 | x^2 - 47/18x + 5/18 = 0
(x - 1/9)(x - 5/2) = 0
x - 1/9 = 0 or x - 5/2 = 0
x = 1/9
x = 5/2 |
Find x for 6x - 3/4 = 0 | 6x - 3/4 = 0
6x = 3/4
x = 3/4 / 6
x = 1/8 |
Solve quickly: 6x + 26 = 0 | 6x + 26 = 0
6x = -26
x = -26 / 6
x = -13/3 |
Solve the equation x^2 - 73/45x + 22/45 = 0 | x^2 - 73/45x + 22/45 = 0
(x - 2/5)(x - 11/9) = 0
x - 2/5 = 0 or x - 11/9 = 0
x = 2/5
x = 11/9 |
Solve the system:
4x + 7y = -692/15
9x + 10y = -1097/15 | 4x + 7y = -692/15
9x + 10y = -1097/15
Using elimination
9*(4x + 7y = -692/15)
4*(9x + 10y = -1097/15)
36x + 63y = -2076/5
36x + 40y = -4388/15
Subtract equations
23y = -368/3
y = -368/3/23
y = -16/3
Substitute y
4x + 7(-16/3) = -692/15
4x = -44/5
x = -44/5/4
x = -11/5 |
Find the solution to x^3 - 7/2x^2 + 189/64x - 171/256 = 0 | x^3 - 7/2x^2 + 189/64x - 171/256 = 0
(x - 3/8)(x - 3/4)(x - 19/8) = 0
x - 3/8 = 0
x - 3/4 = 0
x - 19/8 = 0
x = 3/8
x = 3/4
x = 19/8 |
Find the solution to x^3 - 125/7x^2 - 26/7x + 144/7 = 0 | x^3 - 125/7x^2 - 26/7x + 144/7 = 0
(x - -8/7)(x - 1)(x - 18) = 0
x - -8/7 = 0
x - 1 = 0
x - 18 = 0
x = -8/7
x = 1
x = 18 |
Solve quickly: x^3 - 160/9x^2 - 43/9x + 14 = 0 | x^3 - 160/9x^2 - 43/9x + 14 = 0
(x - -1)(x - 7/9)(x - 18) = 0
x - -1 = 0
x - 7/9 = 0
x - 18 = 0
x = -1
x = 7/9
x = 18 |
Compute the solution of x^2 - 62/45x + 7/15 = 0 | x^2 - 62/45x + 7/15 = 0
(x - 3/5)(x - 7/9) = 0
x - 3/5 = 0 or x - 7/9 = 0
x = 3/5
x = 7/9 |
Solve quickly: 3x + 33/7 = 0 | 3x + 33/7 = 0
3x = -33/7
x = -33/7 / 3
x = -11/7 |
Find x in x^3 - 73/12x^2 - 35/8x + 117/4 = 0 | x^3 - 73/12x^2 - 35/8x + 117/4 = 0
(x - 6)(x - -13/6)(x - 9/4) = 0
x - 6 = 0
x - -13/6 = 0
x - 9/4 = 0
x = 6
x = -13/6
x = 9/4 |
Find x in 5x + 45/4 = 0 | 5x + 45/4 = 0
5x = -45/4
x = -45/4 / 5
x = -9/4 |
Compute the solution of x^3 + 33/5x^2 - 437/5x - 273/5 = 0 | x^3 + 33/5x^2 - 437/5x - 273/5 = 0
(x - 7)(x - -13)(x - -3/5) = 0
x - 7 = 0
x - -13 = 0
x - -3/5 = 0
x = 7
x = -13
x = -3/5 |
Find the solution to x^3 + 134/21x^2 - 289/147x - 20/49 = 0 | x^3 + 134/21x^2 - 289/147x - 20/49 = 0
(x - -1/7)(x - 3/7)(x - -20/3) = 0
x - -1/7 = 0
x - 3/7 = 0
x - -20/3 = 0
x = -1/7
x = 3/7
x = -20/3 |
Determine x in x^2 - 4x + 3 = 0 | x^2 - 4x + 3 = 0
(x - 3)(x - 1) = 0
x - 3 = 0 or x - 1 = 0
x = 3
x = 1 |
Compute the solution of x^3 + 56/15x^2 + 191/75x - 42/25 = 0 | x^3 + 56/15x^2 + 191/75x - 42/25 = 0
(x - 2/5)(x - -7/3)(x - -9/5) = 0
x - 2/5 = 0
x - -7/3 = 0
x - -9/5 = 0
x = 2/5
x = -7/3
x = -9/5 |
Solve 6x + 24/5 = 0 | 6x + 24/5 = 0
6x = -24/5
x = -24/5 / 6
x = -4/5 |
Solve 9x - 72 = 0 | 9x - 72 = 0
9x = 72
x = 72 / 9
x = 8 |
Find the solution to 6x = 0 | 6x = 0
6x = 0
x = 0 / 6
x = 0 |
Find x and y such that
6x + 6y = 172/15
5x + 7y = 502/45 | 6x + 6y = 172/15
5x + 7y = 502/45
Using elimination
5*(6x + 6y = 172/15)
6*(5x + 7y = 502/45)
30x + 30y = 172/3
30x + 42y = 1004/15
Subtract equations
-12y = -48/5
y = -48/5/-12
y = 4/5
Substitute y
6x + 6(4/5) = 172/15
6x = 20/3
x = 20/3/6
x = 10/9 |
Find x for x^2 + 13/10x = 0 | x^2 + 13/10x = 0
(x - 0)(x - -13/10) = 0
x - 0 = 0 or x - -13/10 = 0
x = 0
x = -13/10 |
Determine x in x^2 + 14x + 40 = 0 | x^2 + 14x + 40 = 0
(x - -10)(x - -4) = 0
x - -10 = 0 or x - -4 = 0
x = -10
x = -4 |
Determine x in 5x + 10/7 = 0 | 5x + 10/7 = 0
5x = -10/7
x = -10/7 / 5
x = -2/7 |
Determine x in 3x + 27/10 = 0 | 3x + 27/10 = 0
3x = -27/10
x = -27/10 / 3
x = -9/10 |
Find x and y such that
8x + 4y = 520/7
6x + 7y = 894/7 | 8x + 4y = 520/7
6x + 7y = 894/7
Using elimination
6*(8x + 4y = 520/7)
8*(6x + 7y = 894/7)
48x + 24y = 3120/7
48x + 56y = 7152/7
Subtract equations
-32y = -576
y = -576/-32
y = 18
Substitute y
8x + 4(18) = 520/7
8x = 16/7
x = 16/7/8
x = 2/7 |
Solve quickly: x^2 - 67/15x - 44/3 = 0 | x^2 - 67/15x - 44/3 = 0
(x - 20/3)(x - -11/5) = 0
x - 20/3 = 0 or x - -11/5 = 0
x = 20/3
x = -11/5 |
Compute the solution of 8x - 8/3 = 0 | 8x - 8/3 = 0
8x = 8/3
x = 8/3 / 8
x = 1/3 |
Compute the solution of x^2 - 41/14x + 15/7 = 0 | x^2 - 41/14x + 15/7 = 0
(x - 3/2)(x - 10/7) = 0
x - 3/2 = 0 or x - 10/7 = 0
x = 3/2
x = 10/7 |
Compute the solution of x^2 - 4/9x = 0 | x^2 - 4/9x = 0
(x - 0)(x - 4/9) = 0
x - 0 = 0 or x - 4/9 = 0
x = 0
x = 4/9 |
Find x in x^2 - 16/9x + 5/27 = 0 | x^2 - 16/9x + 5/27 = 0
(x - 1/9)(x - 5/3) = 0
x - 1/9 = 0 or x - 5/3 = 0
x = 1/9
x = 5/3 |
Find x for 6x + 12/5 = 0 | 6x + 12/5 = 0
6x = -12/5
x = -12/5 / 6
x = -2/5 |
Find x for 10x + 170/9 = 0 | 10x + 170/9 = 0
10x = -170/9
x = -170/9 / 10
x = -17/9 |
Solve x^2 - 68/15x + 64/15 = 0 | x^2 - 68/15x + 64/15 = 0
(x - 16/5)(x - 4/3) = 0
x - 16/5 = 0 or x - 4/3 = 0
x = 16/5
x = 4/3 |
Solve the system:
3x + 8y = -54
4x + 8y = -72 | 3x + 8y = -54
4x + 8y = -72
Using elimination
4*(3x + 8y = -54)
3*(4x + 8y = -72)
12x + 32y = -216
12x + 24y = -216
Subtract equations
8y = 0
y = 0/8
y = 0
Substitute y
3x + 8(0) = -54
3x = -54
x = -54/3
x = -18 |
Find x in 9x - 63/2 = 0 | 9x - 63/2 = 0
9x = 63/2
x = 63/2 / 9
x = 7/2 |
What value of x satisfies 2x - 7 = 0 | 2x - 7 = 0
2x = 7
x = 7 / 2
x = 7/2 |
Find the solution to x^3 - 27/2x^2 + 207/4x - 405/8 = 0 | x^3 - 27/2x^2 + 207/4x - 405/8 = 0
(x - 3/2)(x - 15/2)(x - 9/2) = 0
x - 3/2 = 0
x - 15/2 = 0
x - 9/2 = 0
x = 3/2
x = 15/2
x = 9/2 |
Solve the system:
2x + 8y = -6
7x + 2y = -55/2 | 2x + 8y = -6
7x + 2y = -55/2
Using elimination
7*(2x + 8y = -6)
2*(7x + 2y = -55/2)
14x + 56y = -42
14x + 4y = -55
Subtract equations
52y = 13
y = 13/52
y = 1/4
Substitute y
2x + 8(1/4) = -6
2x = -8
x = -8/2
x = -4 |
Find x and y such that
3x + 1y = -71/5
2x + 8y = -634/5 | 3x + 1y = -71/5
2x + 8y = -634/5
Using elimination
2*(3x + 1y = -71/5)
3*(2x + 8y = -634/5)
6x + 2y = -142/5
6x + 24y = -1902/5
Subtract equations
-22y = 352
y = 352/-22
y = -16
Substitute y
3x + 1(-16) = -71/5
3x = 9/5
x = 9/5/3
x = 3/5 |
Solve the equations:
10x + 9y = -86
4x + 9y = -110 | 10x + 9y = -86
4x + 9y = -110
Using elimination
4*(10x + 9y = -86)
10*(4x + 9y = -110)
40x + 36y = -344
40x + 90y = -1100
Subtract equations
-54y = 756
y = 756/-54
y = -14
Substitute y
10x + 9(-14) = -86
10x = 40
x = 40/10
x = 4 |
Determine x in 1x - 4 = 0 | 1x - 4 = 0
1x = 4
x = 4 / 1
x = 4 |
Solve x^2 + 61/28x - 17/28 = 0 | x^2 + 61/28x - 17/28 = 0
(x - 1/4)(x - -17/7) = 0
x - 1/4 = 0 or x - -17/7 = 0
x = 1/4
x = -17/7 |
Find x in 9x + 9 = 0 | 9x + 9 = 0
9x = -9
x = -9 / 9
x = -1 |
Find x for x^2 + 39/10x + 27/10 = 0 | x^2 + 39/10x + 27/10 = 0
(x - -9/10)(x - -3) = 0
x - -9/10 = 0 or x - -3 = 0
x = -9/10
x = -3 |
Solve x^3 + 83/9x^2 + 250/27x - 112/27 = 0 | x^3 + 83/9x^2 + 250/27x - 112/27 = 0
(x - 1/3)(x - -14/9)(x - -8) = 0
x - 1/3 = 0
x - -14/9 = 0
x - -8 = 0
x = 1/3
x = -14/9
x = -8 |
Solve the equation 2x - 5/4 = 0 | 2x - 5/4 = 0
2x = 5/4
x = 5/4 / 2
x = 5/8 |
Solve quickly: x^3 - 7/15x^2 - 31/3x - 133/15 = 0 | x^3 - 7/15x^2 - 31/3x - 133/15 = 0
(x - -1)(x - 19/5)(x - -7/3) = 0
x - -1 = 0
x - 19/5 = 0
x - -7/3 = 0
x = -1
x = 19/5
x = -7/3 |
Solve simultaneously:
7x + 3y = -1067/42
5x + 10y = -1375/42 | 7x + 3y = -1067/42
5x + 10y = -1375/42
Using elimination
5*(7x + 3y = -1067/42)
7*(5x + 10y = -1375/42)
35x + 15y = -5335/42
35x + 70y = -1375/6
Subtract equations
-55y = 715/7
y = 715/7/-55
y = -13/7
Substitute y
7x + 3(-13/7) = -1067/42
7x = -119/6
x = -119/6/7
x = -17/6 |
Find x in 7x + 35 = 0 | 7x + 35 = 0
7x = -35
x = -35 / 7
x = -5 |
Solve the equation 10x + 6 = 0 | 10x + 6 = 0
10x = -6
x = -6 / 10
x = -3/5 |
Find x in x^3 - 35/36x^2 - 49/36x = 0 | x^3 - 35/36x^2 - 49/36x = 0
(x - 0)(x - -7/9)(x - 7/4) = 0
x - 0 = 0
x - -7/9 = 0
x - 7/4 = 0
x = 0
x = -7/9
x = 7/4 |
Compute the solution of x^3 - 64x = 0 | x^3 - 64x = 0
(x - 0)(x - 8)(x - -8) = 0
x - 0 = 0
x - 8 = 0
x - -8 = 0
x = 0
x = 8
x = -8 |
Solve x^2 - 16 = 0 | x^2 - 16 = 0
(x - 4)(x - -4) = 0
x - 4 = 0 or x - -4 = 0
x = 4
x = -4 |
Solve simultaneously:
7x + 2y = -55/3
2x + 1y = -14/3 | 7x + 2y = -55/3
2x + 1y = -14/3
Using elimination
2*(7x + 2y = -55/3)
7*(2x + 1y = -14/3)
14x + 4y = -110/3
14x + 7y = -98/3
Subtract equations
-3y = -4
y = -4/-3
y = 4/3
Substitute y
7x + 2(4/3) = -55/3
7x = -21
x = -21/7
x = -3 |
Solve the system:
2x + 9y = 49/9
9x + 4y = -12 | 2x + 9y = 49/9
9x + 4y = -12
Using elimination
9*(2x + 9y = 49/9)
2*(9x + 4y = -12)
18x + 81y = 49
18x + 8y = -24
Subtract equations
73y = 73
y = 73/73
y = 1
Substitute y
2x + 9(1) = 49/9
2x = -32/9
x = -32/9/2
x = -16/9 |
Find x for x^3 - 1/2x^2 - 4x + 2 = 0 | x^3 - 1/2x^2 - 4x + 2 = 0
(x - 2)(x - -2)(x - 1/2) = 0
x - 2 = 0
x - -2 = 0
x - 1/2 = 0
x = 2
x = -2
x = 1/2 |
Solve the equations:
5x + 5y = -770/9
6x + 3y = -298/3 | 5x + 5y = -770/9
6x + 3y = -298/3
Using elimination
6*(5x + 5y = -770/9)
5*(6x + 3y = -298/3)
30x + 30y = -1540/3
30x + 15y = -1490/3
Subtract equations
15y = -50/3
y = -50/3/15
y = -10/9
Substitute y
5x + 5(-10/9) = -770/9
5x = -80
x = -80/5
x = -16 |
Solve quickly: x^3 - 82/21x^2 + 229/84x + 55/28 = 0 | x^3 - 82/21x^2 + 229/84x + 55/28 = 0
(x - 5/2)(x - 11/6)(x - -3/7) = 0
x - 5/2 = 0
x - 11/6 = 0
x - -3/7 = 0
x = 5/2
x = 11/6
x = -3/7 |
Find the solution to x^2 + 4/15x - 7/3 = 0 | x^2 + 4/15x - 7/3 = 0
(x - -5/3)(x - 7/5) = 0
x - -5/3 = 0 or x - 7/5 = 0
x = -5/3
x = 7/5 |
Solve quickly: 4x + 4 = 0 | 4x + 4 = 0
4x = -4
x = -4 / 4
x = -1 |
Find x in x^3 - 229/30x^2 - 251/10x + 2261/15 = 0 | x^3 - 229/30x^2 - 251/10x + 2261/15 = 0
(x - 19/5)(x - 17/2)(x - -14/3) = 0
x - 19/5 = 0
x - 17/2 = 0
x - -14/3 = 0
x = 19/5
x = 17/2
x = -14/3 |
Solve x^2 + 121/35x + 78/35 = 0 | x^2 + 121/35x + 78/35 = 0
(x - -6/7)(x - -13/5) = 0
x - -6/7 = 0 or x - -13/5 = 0
x = -6/7
x = -13/5 |
Find the solution to 10x - 9 = 0 | 10x - 9 = 0
10x = 9
x = 9 / 10
x = 9/10 |
What value of x satisfies x^2 - 47/30x - 187/30 = 0 | x^2 - 47/30x - 187/30 = 0
(x - 17/5)(x - -11/6) = 0
x - 17/5 = 0 or x - -11/6 = 0
x = 17/5
x = -11/6 |
Find the solution to x^3 + 32/35x^2 - 2031/700x - 459/175 = 0 | x^3 + 32/35x^2 - 2031/700x - 459/175 = 0
(x - -9/10)(x - -12/7)(x - 17/10) = 0
x - -9/10 = 0
x - -12/7 = 0
x - 17/10 = 0
x = -9/10
x = -12/7
x = 17/10 |
Solve the system:
3x + 4y = 43/5
1x + 4y = -7/5 | 3x + 4y = 43/5
1x + 4y = -7/5
Using elimination
1*(3x + 4y = 43/5)
3*(1x + 4y = -7/5)
3x + 4y = 43/5
3x + 12y = -21/5
Subtract equations
-8y = 64/5
y = 64/5/-8
y = -8/5
Substitute y
3x + 4(-8/5) = 43/5
3x = 15
x = 15/3
x = 5 |
Solve quickly: 3x + 3/8 = 0 | 3x + 3/8 = 0
3x = -3/8
x = -3/8 / 3
x = -1/8 |
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