input stringlengths 13 66 | output stringlengths 30 276 |
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Solve quickly: x^2 - 19/4x + 45/8 = 0 | x^2 - 19/4x + 45/8 = 0
(x - 5/2)(x - 9/4) = 0
x - 5/2 = 0 or x - 9/4 = 0
x = 5/2
x = 9/4 |
Find x in 2x - 2 = 0 | 2x - 2 = 0
2x = 2
x = 2 / 2
x = 1 |
Find x and y such that
6x + 9y = -144/5
7x + 5y = -43/2 | 6x + 9y = -144/5
7x + 5y = -43/2
Using elimination
7*(6x + 9y = -144/5)
6*(7x + 5y = -43/2)
42x + 63y = -1008/5
42x + 30y = -129
Subtract equations
33y = -363/5
y = -363/5/33
y = -11/5
Substitute y
6x + 9(-11/5) = -144/5
6x = -9
x = -9/6
x = -3/2 |
Compute the solution of 3x + 45/2 = 0 | 3x + 45/2 = 0
3x = -45/2
x = -45/2 / 3
x = -15/2 |
Determine x in x^3 - 49/20x^2 - 219/40x + 459/40 = 0 | x^3 - 49/20x^2 - 219/40x + 459/40 = 0
(x - 17/10)(x - -9/4)(x - 3) = 0
x - 17/10 = 0
x - -9/4 = 0
x - 3 = 0
x = 17/10
x = -9/4
x = 3 |
Solve the equations:
10x + 2y = 934/15
1x + 5y = 59/3 | 10x + 2y = 934/15
1x + 5y = 59/3
Using elimination
1*(10x + 2y = 934/15)
10*(1x + 5y = 59/3)
10x + 2y = 934/15
10x + 50y = 590/3
Subtract equations
-48y = -672/5
y = -672/5/-48
y = 14/5
Substitute y
10x + 2(14/5) = 934/15
10x = 170/3
x = 170/3/10
x = 17/3 |
Determine x in x^2 + 16/5x + 11/5 = 0 | x^2 + 16/5x + 11/5 = 0
(x - -11/5)(x - -1) = 0
x - -11/5 = 0 or x - -1 = 0
x = -11/5
x = -1 |
What value of x satisfies x^2 + 44/9x - 119/27 = 0 | x^2 + 44/9x - 119/27 = 0
(x - 7/9)(x - -17/3) = 0
x - 7/9 = 0 or x - -17/3 = 0
x = 7/9
x = -17/3 |
Determine x in x^2 - 211/24x + 85/6 = 0 | x^2 - 211/24x + 85/6 = 0
(x - 20/3)(x - 17/8) = 0
x - 20/3 = 0 or x - 17/8 = 0
x = 20/3
x = 17/8 |
Compute the solution of x^2 + 11/8x + 3/8 = 0 | x^2 + 11/8x + 3/8 = 0
(x - -3/8)(x - -1) = 0
x - -3/8 = 0 or x - -1 = 0
x = -3/8
x = -1 |
Solve the equations:
4x + 10y = -207/7
7x + 4y = -18 | 4x + 10y = -207/7
7x + 4y = -18
Using elimination
7*(4x + 10y = -207/7)
4*(7x + 4y = -18)
28x + 70y = -207
28x + 16y = -72
Subtract equations
54y = -135
y = -135/54
y = -5/2
Substitute y
4x + 10(-5/2) = -207/7
4x = -32/7
x = -32/7/4
x = -8/7 |
Find x for x^2 + 10/3x + 1 = 0 | x^2 + 10/3x + 1 = 0
(x - -3)(x - -1/3) = 0
x - -3 = 0 or x - -1/3 = 0
x = -3
x = -1/3 |
Determine x in 10x + 10 = 0 | 10x + 10 = 0
10x = -10
x = -10 / 10
x = -1 |
Solve quickly: x^3 - 3/4x^2 - 35/18x + 25/36 = 0 | x^3 - 3/4x^2 - 35/18x + 25/36 = 0
(x - 5/3)(x - 1/3)(x - -5/4) = 0
x - 5/3 = 0
x - 1/3 = 0
x - -5/4 = 0
x = 5/3
x = 1/3
x = -5/4 |
Solve quickly: x^3 + 203/72x^2 + 161/162x - 95/648 = 0 | x^3 + 203/72x^2 + 161/162x - 95/648 = 0
(x - -5/9)(x - 1/9)(x - -19/8) = 0
x - -5/9 = 0
x - 1/9 = 0
x - -19/8 = 0
x = -5/9
x = 1/9
x = -19/8 |
Find x in 9x - 18 = 0 | 9x - 18 = 0
9x = 18
x = 18 / 9
x = 2 |
Find x for 1x + 15/7 = 0 | 1x + 15/7 = 0
1x = -15/7
x = -15/7 / 1
x = -15/7 |
Solve the equation x^2 - 29/20x + 21/40 = 0 | x^2 - 29/20x + 21/40 = 0
(x - 3/4)(x - 7/10) = 0
x - 3/4 = 0 or x - 7/10 = 0
x = 3/4
x = 7/10 |
Solve the equations:
8x + 10y = 266/15
6x + 1y = 167/15 | 8x + 10y = 266/15
6x + 1y = 167/15
Using elimination
6*(8x + 10y = 266/15)
8*(6x + 1y = 167/15)
48x + 60y = 532/5
48x + 8y = 1336/15
Subtract equations
52y = 52/3
y = 52/3/52
y = 1/3
Substitute y
8x + 10(1/3) = 266/15
8x = 72/5
x = 72/5/8
x = 9/5 |
Solve quickly: 6x = 0 | 6x = 0
6x = 0
x = 0 / 6
x = 0 |
Solve the equation x^2 - 1x - 3/4 = 0 | x^2 - 1x - 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 x for 10x + 45/2 = 0 | 10x + 45/2 = 0
10x = -45/2
x = -45/2 / 10
x = -9/4 |
Find the solution to 6x - 3/2 = 0 | 6x - 3/2 = 0
6x = 3/2
x = 3/2 / 6
x = 1/4 |
Find the solution to 1x - 13/10 = 0 | 1x - 13/10 = 0
1x = 13/10
x = 13/10 / 1
x = 13/10 |
Solve quickly: x^3 + 4x^2 - 639/49x - 306/49 = 0 | x^3 + 4x^2 - 639/49x - 306/49 = 0
(x - 17/7)(x - -6)(x - -3/7) = 0
x - 17/7 = 0
x - -6 = 0
x - -3/7 = 0
x = 17/7
x = -6
x = -3/7 |
Compute the solution of 7x - 12 = 0 | 7x - 12 = 0
7x = 12
x = 12 / 7
x = 12/7 |
Find x in 7x + 21/2 = 0 | 7x + 21/2 = 0
7x = -21/2
x = -21/2 / 7
x = -3/2 |
Solve 6x - 8 = 0 | 6x - 8 = 0
6x = 8
x = 8 / 6
x = 4/3 |
Find x in x^3 + 1/6x^2 - 26/3x - 10 = 0 | x^3 + 1/6x^2 - 26/3x - 10 = 0
(x - 10/3)(x - -3/2)(x - -2) = 0
x - 10/3 = 0
x - -3/2 = 0
x - -2 = 0
x = 10/3
x = -3/2
x = -2 |
Solve the equations:
10x + 9y = -1367/9
8x + 7y = -1063/9 | 10x + 9y = -1367/9
8x + 7y = -1063/9
Using elimination
8*(10x + 9y = -1367/9)
10*(8x + 7y = -1063/9)
80x + 72y = -10936/9
80x + 70y = -10630/9
Subtract equations
2y = -34
y = -34/2
y = -17
Substitute y
10x + 9(-17) = -1367/9
10x = 10/9
x = 10/9/10
x = 1/9 |
Solve the equation x^3 - 5x^2 - 1x + 5 = 0 | x^3 - 5x^2 - 1x + 5 = 0
(x - 1)(x - -1)(x - 5) = 0
x - 1 = 0
x - -1 = 0
x - 5 = 0
x = 1
x = -1
x = 5 |
Solve the equations:
6x + 8y = -136
8x + 5y = -629/4 | 6x + 8y = -136
8x + 5y = -629/4
Using elimination
8*(6x + 8y = -136)
6*(8x + 5y = -629/4)
48x + 64y = -1088
48x + 30y = -1887/2
Subtract equations
34y = -289/2
y = -289/2/34
y = -17/4
Substitute y
6x + 8(-17/4) = -136
6x = -102
x = -102/6
x = -17 |
Solve the equation 10x + 25 = 0 | 10x + 25 = 0
10x = -25
x = -25 / 10
x = -5/2 |
Compute the solution of x^3 + 209/15x^2 + 842/15x + 208/3 = 0 | x^3 + 209/15x^2 + 842/15x + 208/3 = 0
(x - -13/5)(x - -10/3)(x - -8) = 0
x - -13/5 = 0
x - -10/3 = 0
x - -8 = 0
x = -13/5
x = -10/3
x = -8 |
Solve x^2 - 35/2x - 50 = 0 | x^2 - 35/2x - 50 = 0
(x - -5/2)(x - 20) = 0
x - -5/2 = 0 or x - 20 = 0
x = -5/2
x = 20 |
Solve x^2 + 29/10x + 9/5 = 0 | x^2 + 29/10x + 9/5 = 0
(x - -2)(x - -9/10) = 0
x - -2 = 0 or x - -9/10 = 0
x = -2
x = -9/10 |
Determine x in x^2 - 44/7x + 64/7 = 0 | x^2 - 44/7x + 64/7 = 0
(x - 16/7)(x - 4) = 0
x - 16/7 = 0 or x - 4 = 0
x = 16/7
x = 4 |
Solve the equations:
9x + 2y = 16
9x + 5y = 22 | 9x + 2y = 16
9x + 5y = 22
Using elimination
9*(9x + 2y = 16)
9*(9x + 5y = 22)
81x + 18y = 144
81x + 45y = 198
Subtract equations
-27y = -54
y = -54/-27
y = 2
Substitute y
9x + 2(2) = 16
9x = 12
x = 12/9
x = 4/3 |
Solve the equation x^3 - 697/180x^2 + 193/120x + 1463/360 = 0 | x^3 - 697/180x^2 + 193/120x + 1463/360 = 0
(x - -7/9)(x - 19/10)(x - 11/4) = 0
x - -7/9 = 0
x - 19/10 = 0
x - 11/4 = 0
x = -7/9
x = 19/10
x = 11/4 |
Solve simultaneously:
10x + 6y = 57/2
9x + 7y = 101/4 | 10x + 6y = 57/2
9x + 7y = 101/4
Using elimination
9*(10x + 6y = 57/2)
10*(9x + 7y = 101/4)
90x + 54y = 513/2
90x + 70y = 505/2
Subtract equations
-16y = 4
y = 4/-16
y = -1/4
Substitute y
10x + 6(-1/4) = 57/2
10x = 30
x = 30/10
x = 3 |
Solve quickly: x^3 + 723/70x^2 + 991/35x + 156/7 = 0 | x^3 + 723/70x^2 + 991/35x + 156/7 = 0
(x - -12/5)(x - -13/2)(x - -10/7) = 0
x - -12/5 = 0
x - -13/2 = 0
x - -10/7 = 0
x = -12/5
x = -13/2
x = -10/7 |
Determine x in 1x + 19/8 = 0 | 1x + 19/8 = 0
1x = -19/8
x = -19/8 / 1
x = -19/8 |
Solve quickly: 6x - 27 = 0 | 6x - 27 = 0
6x = 27
x = 27 / 6
x = 9/2 |
Determine x in x^2 + 37/10x + 8/5 = 0 | x^2 + 37/10x + 8/5 = 0
(x - -16/5)(x - -1/2) = 0
x - -16/5 = 0 or x - -1/2 = 0
x = -16/5
x = -1/2 |
Find x for 7x - 21 = 0 | 7x - 21 = 0
7x = 21
x = 21 / 7
x = 3 |
Solve the equations:
2x + 5y = 49/45
3x + 1y = -154/45 | 2x + 5y = 49/45
3x + 1y = -154/45
Using elimination
3*(2x + 5y = 49/45)
2*(3x + 1y = -154/45)
6x + 15y = 49/15
6x + 2y = -308/45
Subtract equations
13y = 91/9
y = 91/9/13
y = 7/9
Substitute y
2x + 5(7/9) = 49/45
2x = -14/5
x = -14/5/2
x = -7/5 |
Find x in 9x - 90 = 0 | 9x - 90 = 0
9x = 90
x = 90 / 9
x = 10 |
Determine x in 3x - 57/7 = 0 | 3x - 57/7 = 0
3x = 57/7
x = 57/7 / 3
x = 19/7 |
Find the solution to 1x + 1/8 = 0 | 1x + 1/8 = 0
1x = -1/8
x = -1/8 / 1
x = -1/8 |
Compute the solution of x^2 - 17/63x - 10/63 = 0 | x^2 - 17/63x - 10/63 = 0
(x - 5/9)(x - -2/7) = 0
x - 5/9 = 0 or x - -2/7 = 0
x = 5/9
x = -2/7 |
Solve 9x + 45/2 = 0 | 9x + 45/2 = 0
9x = -45/2
x = -45/2 / 9
x = -5/2 |
Solve x^3 - 13/20x^2 - 221/40x + 9/4 = 0 | x^3 - 13/20x^2 - 221/40x + 9/4 = 0
(x - 2/5)(x - 5/2)(x - -9/4) = 0
x - 2/5 = 0
x - 5/2 = 0
x - -9/4 = 0
x = 2/5
x = 5/2
x = -9/4 |
Find the solution to x^3 + 89/18x^2 + 49/16x + 17/36 = 0 | x^3 + 89/18x^2 + 49/16x + 17/36 = 0
(x - -1/4)(x - -4/9)(x - -17/4) = 0
x - -1/4 = 0
x - -4/9 = 0
x - -17/4 = 0
x = -1/4
x = -4/9
x = -17/4 |
What value of x satisfies 2x - 2 = 0 | 2x - 2 = 0
2x = 2
x = 2 / 2
x = 1 |
Find x and y such that
3x + 9y = 33/2
7x + 9y = 22 | 3x + 9y = 33/2
7x + 9y = 22
Using elimination
7*(3x + 9y = 33/2)
3*(7x + 9y = 22)
21x + 63y = 231/2
21x + 27y = 66
Subtract equations
36y = 99/2
y = 99/2/36
y = 11/8
Substitute y
3x + 9(11/8) = 33/2
3x = 33/8
x = 33/8/3
x = 11/8 |
Find x for x^2 - 2/3x - 8/9 = 0 | x^2 - 2/3x - 8/9 = 0
(x - -2/3)(x - 4/3) = 0
x - -2/3 = 0 or x - 4/3 = 0
x = -2/3
x = 4/3 |
What value of x satisfies 4x + 17/2 = 0 | 4x + 17/2 = 0
4x = -17/2
x = -17/2 / 4
x = -17/8 |
Solve the equation 7x + 14/5 = 0 | 7x + 14/5 = 0
7x = -14/5
x = -14/5 / 7
x = -2/5 |
What value of x satisfies x^3 - 16/9x^2 - 1793/144x - 95/12 = 0 | x^3 - 16/9x^2 - 1793/144x - 95/12 = 0
(x - 19/4)(x - -20/9)(x - -3/4) = 0
x - 19/4 = 0
x - -20/9 = 0
x - -3/4 = 0
x = 19/4
x = -20/9
x = -3/4 |
Compute the solution of 9x + 27/8 = 0 | 9x + 27/8 = 0
9x = -27/8
x = -27/8 / 9
x = -3/8 |
Solve the equation 4x + 68 = 0 | 4x + 68 = 0
4x = -68
x = -68 / 4
x = -17 |
What value of x satisfies 7x - 133/10 = 0 | 7x - 133/10 = 0
7x = 133/10
x = 133/10 / 7
x = 19/10 |
Solve quickly: x^2 - 14x - 15 = 0 | x^2 - 14x - 15 = 0
(x - -1)(x - 15) = 0
x - -1 = 0 or x - 15 = 0
x = -1
x = 15 |
Solve quickly: x^2 - 2/5x - 7/5 = 0 | x^2 - 2/5x - 7/5 = 0
(x - 7/5)(x - -1) = 0
x - 7/5 = 0 or x - -1 = 0
x = 7/5
x = -1 |
What value of x satisfies 1x - 5 = 0 | 1x - 5 = 0
1x = 5
x = 5 / 1
x = 5 |
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 |
Find the solution to x^2 + 5/7x - 48/7 = 0 | x^2 + 5/7x - 48/7 = 0
(x - -3)(x - 16/7) = 0
x - -3 = 0 or x - 16/7 = 0
x = -3
x = 16/7 |
What value of x satisfies 1x - 7/6 = 0 | 1x - 7/6 = 0
1x = 7/6
x = 7/6 / 1
x = 7/6 |
Compute the solution of 8x + 4 = 0 | 8x + 4 = 0
8x = -4
x = -4 / 8
x = -1/2 |
Solve x^2 + 25/4x + 57/8 = 0 | x^2 + 25/4x + 57/8 = 0
(x - -3/2)(x - -19/4) = 0
x - -3/2 = 0 or x - -19/4 = 0
x = -3/2
x = -19/4 |
Solve x^2 + 109/9x + 190/9 = 0 | x^2 + 109/9x + 190/9 = 0
(x - -19/9)(x - -10) = 0
x - -19/9 = 0 or x - -10 = 0
x = -19/9
x = -10 |
Solve the equation x^2 + 77/9x + 40/9 = 0 | x^2 + 77/9x + 40/9 = 0
(x - -8)(x - -5/9) = 0
x - -8 = 0 or x - -5/9 = 0
x = -8
x = -5/9 |
Solve simultaneously:
7x + 1y = -1192/45
2x + 10y = -292/45 | 7x + 1y = -1192/45
2x + 10y = -292/45
Using elimination
2*(7x + 1y = -1192/45)
7*(2x + 10y = -292/45)
14x + 2y = -2384/45
14x + 70y = -2044/45
Subtract equations
-68y = -68/9
y = -68/9/-68
y = 1/9
Substitute y
7x + 1(1/9) = -1192/45
7x = -133/5
x = -133/5/7
x = -19/5 |
Find x for x^3 + 7/6x^2 - 66x - 459/2 = 0 | x^3 + 7/6x^2 - 66x - 459/2 = 0
(x - -9/2)(x - 9)(x - -17/3) = 0
x - -9/2 = 0
x - 9 = 0
x - -17/3 = 0
x = -9/2
x = 9
x = -17/3 |
Solve x^3 - 31/3x^2 + 415/12x - 75/2 = 0 | x^3 - 31/3x^2 + 415/12x - 75/2 = 0
(x - 9/2)(x - 5/2)(x - 10/3) = 0
x - 9/2 = 0
x - 5/2 = 0
x - 10/3 = 0
x = 9/2
x = 5/2
x = 10/3 |
Solve the equation x^3 - 529/30x^2 - 521/10x + 286/3 = 0 | x^3 - 529/30x^2 - 521/10x + 286/3 = 0
(x - 13/10)(x - -11/3)(x - 20) = 0
x - 13/10 = 0
x - -11/3 = 0
x - 20 = 0
x = 13/10
x = -11/3
x = 20 |
Solve x^2 + 1x - 28/9 = 0 | x^2 + 1x - 28/9 = 0
(x - 4/3)(x - -7/3) = 0
x - 4/3 = 0 or x - -7/3 = 0
x = 4/3
x = -7/3 |
Solve simultaneously:
6x + 8y = 137/6
4x + 1y = 11/3 | 6x + 8y = 137/6
4x + 1y = 11/3
Using elimination
4*(6x + 8y = 137/6)
6*(4x + 1y = 11/3)
24x + 32y = 274/3
24x + 6y = 22
Subtract equations
26y = 208/3
y = 208/3/26
y = 8/3
Substitute y
6x + 8(8/3) = 137/6
6x = 3/2
x = 3/2/6
x = 1/4 |
Find x and y such that
1x + 6y = 281/10
8x + 1y = 133/10 | 1x + 6y = 281/10
8x + 1y = 133/10
Using elimination
8*(1x + 6y = 281/10)
1*(8x + 1y = 133/10)
8x + 48y = 1124/5
8x + 1y = 133/10
Subtract equations
47y = 423/2
y = 423/2/47
y = 9/2
Substitute y
1x + 6(9/2) = 281/10
1x = 11/10
x = 11/10/1
x = 11/10 |
Solve the equations:
8x + 9y = 64
4x + 3y = 20 | 8x + 9y = 64
4x + 3y = 20
Using elimination
4*(8x + 9y = 64)
8*(4x + 3y = 20)
32x + 36y = 256
32x + 24y = 160
Subtract equations
12y = 96
y = 96/12
y = 8
Substitute y
8x + 9(8) = 64
8x = -8
x = -8/8
x = -1 |
Find x and y such that
8x + 10y = 110/3
7x + 4y = 44/3 | 8x + 10y = 110/3
7x + 4y = 44/3
Using elimination
7*(8x + 10y = 110/3)
8*(7x + 4y = 44/3)
56x + 70y = 770/3
56x + 32y = 352/3
Subtract equations
38y = 418/3
y = 418/3/38
y = 11/3
Substitute y
8x + 10(11/3) = 110/3
8x = 0
x = 0/8
x = 0 |
Solve quickly: x^2 + 9/7x - 36/7 = 0 | x^2 + 9/7x - 36/7 = 0
(x - 12/7)(x - -3) = 0
x - 12/7 = 0 or x - -3 = 0
x = 12/7
x = -3 |
Find x for x^3 + 89/30x^2 + 19/15x - 3/2 = 0 | x^3 + 89/30x^2 + 19/15x - 3/2 = 0
(x - -9/5)(x - 1/2)(x - -5/3) = 0
x - -9/5 = 0
x - 1/2 = 0
x - -5/3 = 0
x = -9/5
x = 1/2
x = -5/3 |
Find the solution to 4x + 34 = 0 | 4x + 34 = 0
4x = -34
x = -34 / 4
x = -17/2 |
Solve the system:
10x + 4y = 65/3
2x + 10y = 59/3 | 10x + 4y = 65/3
2x + 10y = 59/3
Using elimination
2*(10x + 4y = 65/3)
10*(2x + 10y = 59/3)
20x + 8y = 130/3
20x + 100y = 590/3
Subtract equations
-92y = -460/3
y = -460/3/-92
y = 5/3
Substitute y
10x + 4(5/3) = 65/3
10x = 15
x = 15/10
x = 3/2 |
Find the solution to x^3 - 172/35x^2 + 179/35x + 66/35 = 0 | x^3 - 172/35x^2 + 179/35x + 66/35 = 0
(x - 3)(x - -2/7)(x - 11/5) = 0
x - 3 = 0
x - -2/7 = 0
x - 11/5 = 0
x = 3
x = -2/7
x = 11/5 |
Find x in x^3 + 221/15x^2 + 506/15x + 56/5 = 0 | x^3 + 221/15x^2 + 506/15x + 56/5 = 0
(x - -12)(x - -2/5)(x - -7/3) = 0
x - -12 = 0
x - -2/5 = 0
x - -7/3 = 0
x = -12
x = -2/5
x = -7/3 |
Find x and y such that
8x + 1y = -50/3
3x + 1y = -35/6 | 8x + 1y = -50/3
3x + 1y = -35/6
Using elimination
3*(8x + 1y = -50/3)
8*(3x + 1y = -35/6)
24x + 3y = -50
24x + 8y = -140/3
Subtract equations
-5y = -10/3
y = -10/3/-5
y = 2/3
Substitute y
8x + 1(2/3) = -50/3
8x = -52/3
x = -52/3/8
x = -13/6 |
Solve quickly: x^2 + 32/5x + 7 = 0 | x^2 + 32/5x + 7 = 0
(x - -5)(x - -7/5) = 0
x - -5 = 0 or x - -7/5 = 0
x = -5
x = -7/5 |
Find the solution to x^2 - 2/3x - 8/3 = 0 | x^2 - 2/3x - 8/3 = 0
(x - 2)(x - -4/3) = 0
x - 2 = 0 or x - -4/3 = 0
x = 2
x = -4/3 |
Find the solution to x^3 - 29/70x^2 - 1346/245x - 208/49 = 0 | x^3 - 29/70x^2 - 1346/245x - 208/49 = 0
(x - 20/7)(x - -13/10)(x - -8/7) = 0
x - 20/7 = 0
x - -13/10 = 0
x - -8/7 = 0
x = 20/7
x = -13/10
x = -8/7 |
Find x in x^2 - 17/2x - 9/2 = 0 | x^2 - 17/2x - 9/2 = 0
(x - 9)(x - -1/2) = 0
x - 9 = 0 or x - -1/2 = 0
x = 9
x = -1/2 |
Solve quickly: 1x - 10 = 0 | 1x - 10 = 0
1x = 10
x = 10 / 1
x = 10 |
Solve x^3 + 5x^2 - 274x + 520 = 0 | x^3 + 5x^2 - 274x + 520 = 0
(x - 2)(x - 13)(x - -20) = 0
x - 2 = 0
x - 13 = 0
x - -20 = 0
x = 2
x = 13
x = -20 |
Solve x^3 - 169/105x^2 - 187/35x + 9 = 0 | x^3 - 169/105x^2 - 187/35x + 9 = 0
(x - 9/5)(x - 15/7)(x - -7/3) = 0
x - 9/5 = 0
x - 15/7 = 0
x - -7/3 = 0
x = 9/5
x = 15/7
x = -7/3 |
Find the solution to x^2 - 11/3x + 8/3 = 0 | x^2 - 11/3x + 8/3 = 0
(x - 8/3)(x - 1) = 0
x - 8/3 = 0 or x - 1 = 0
x = 8/3
x = 1 |
Solve simultaneously:
3x + 8y = -22/5
2x + 10y = -52/5 | 3x + 8y = -22/5
2x + 10y = -52/5
Using elimination
2*(3x + 8y = -22/5)
3*(2x + 10y = -52/5)
6x + 16y = -44/5
6x + 30y = -156/5
Subtract equations
-14y = 112/5
y = 112/5/-14
y = -8/5
Substitute y
3x + 8(-8/5) = -22/5
3x = 42/5
x = 42/5/3
x = 14/5 |
Determine x in x^2 - 93/10x - 19/10 = 0 | x^2 - 93/10x - 19/10 = 0
(x - -1/5)(x - 19/2) = 0
x - -1/5 = 0 or x - 19/2 = 0
x = -1/5
x = 19/2 |
Solve 5x - 10 = 0 | 5x - 10 = 0
5x = 10
x = 10 / 5
x = 2 |
Find x in x^3 + 1597/360x^2 + 1451/240x + 1729/720 = 0 | x^3 + 1597/360x^2 + 1451/240x + 1729/720 = 0
(x - -19/9)(x - -13/8)(x - -7/10) = 0
x - -19/9 = 0
x - -13/8 = 0
x - -7/10 = 0
x = -19/9
x = -13/8
x = -7/10 |
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