input stringlengths 13 66 | output stringlengths 30 276 |
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Determine x in x^2 + 4x - 77 = 0 | x^2 + 4x - 77 = 0
(x - 7)(x - -11) = 0
x - 7 = 0 or x - -11 = 0
x = 7
x = -11 |
What value of x satisfies x^3 - 101/45x^2 + 52/45x = 0 | x^3 - 101/45x^2 + 52/45x = 0
(x - 13/9)(x - 0)(x - 4/5) = 0
x - 13/9 = 0
x - 0 = 0
x - 4/5 = 0
x = 13/9
x = 0
x = 4/5 |
Find x for x^3 - 32/63x^2 - 43/7x - 4 = 0 | x^3 - 32/63x^2 - 43/7x - 4 = 0
(x - 3)(x - -7/9)(x - -12/7) = 0
x - 3 = 0
x - -7/9 = 0
x - -12/7 = 0
x = 3
x = -7/9
x = -12/7 |
What value of x satisfies x^3 + 4x^2 - 243/4x - 765/4 = 0 | x^3 + 4x^2 - 243/4x - 765/4 = 0
(x - -3)(x - -17/2)(x - 15/2) = 0
x - -3 = 0
x - -17/2 = 0
x - 15/2 = 0
x = -3
x = -17/2
x = 15/2 |
Compute the solution of x^3 + 13/7x^2 - 2/7x = 0 | x^3 + 13/7x^2 - 2/7x = 0
(x - 1/7)(x - 0)(x - -2) = 0
x - 1/7 = 0
x - 0 = 0
x - -2 = 0
x = 1/7
x = 0
x = -2 |
Solve 2x - 32/5 = 0 | 2x - 32/5 = 0
2x = 32/5
x = 32/5 / 2
x = 16/5 |
Find x and y such that
5x + 4y = 42/5
1x + 8y = -78/5 | 5x + 4y = 42/5
1x + 8y = -78/5
Using elimination
1*(5x + 4y = 42/5)
5*(1x + 8y = -78/5)
5x + 4y = 42/5
5x + 40y = -78
Subtract equations
-36y = 432/5
y = 432/5/-36
y = -12/5
Substitute y
5x + 4(-12/5) = 42/5
5x = 18
x = 18/5
x = 18/5 |
Determine x in x^2 - 3/2x + 1/2 = 0 | x^2 - 3/2x + 1/2 = 0
(x - 1/2)(x - 1) = 0
x - 1/2 = 0 or x - 1 = 0
x = 1/2
x = 1 |
Solve x^3 + 49/5x^2 + 72/5x = 0 | x^3 + 49/5x^2 + 72/5x = 0
(x - -9/5)(x - 0)(x - -8) = 0
x - -9/5 = 0
x - 0 = 0
x - -8 = 0
x = -9/5
x = 0
x = -8 |
Solve quickly: x^3 - 4x = 0 | x^3 - 4x = 0
(x - -2)(x - 2)(x - 0) = 0
x - -2 = 0
x - 2 = 0
x - 0 = 0
x = -2
x = 2
x = 0 |
Solve the equation x^2 + 31/2x + 55 = 0 | x^2 + 31/2x + 55 = 0
(x - -11/2)(x - -10) = 0
x - -11/2 = 0 or x - -10 = 0
x = -11/2
x = -10 |
Find the solution to x^3 - 47/42x^2 - 16/21x + 2/7 = 0 | x^3 - 47/42x^2 - 16/21x + 2/7 = 0
(x - 2/7)(x - -2/3)(x - 3/2) = 0
x - 2/7 = 0
x - -2/3 = 0
x - 3/2 = 0
x = 2/7
x = -2/3
x = 3/2 |
Solve the system:
9x + 2y = -1441/72
5x + 1y = -797/72 | 9x + 2y = -1441/72
5x + 1y = -797/72
Using elimination
5*(9x + 2y = -1441/72)
9*(5x + 1y = -797/72)
45x + 10y = -7205/72
45x + 9y = -797/8
Subtract equations
1y = -4/9
y = -4/9/1
y = -4/9
Substitute y
9x + 2(-4/9) = -1441/72
9x = -153/8
x = -153/8/9
x = -17/8 |
Find x in 8x - 10 = 0 | 8x - 10 = 0
8x = 10
x = 10 / 8
x = 5/4 |
Solve the system:
10x + 10y = 1/3
4x + 6y = 4/5 | 10x + 10y = 1/3
4x + 6y = 4/5
Using elimination
4*(10x + 10y = 1/3)
10*(4x + 6y = 4/5)
40x + 40y = 4/3
40x + 60y = 8
Subtract equations
-20y = -20/3
y = -20/3/-20
y = 1/3
Substitute y
10x + 10(1/3) = 1/3
10x = -3
x = -3/10
x = -3/10 |
Find the solution to x^2 + 101/7x - 60/7 = 0 | x^2 + 101/7x - 60/7 = 0
(x - 4/7)(x - -15) = 0
x - 4/7 = 0 or x - -15 = 0
x = 4/7
x = -15 |
Find the solution to 8x - 36 = 0 | 8x - 36 = 0
8x = 36
x = 36 / 8
x = 9/2 |
Solve simultaneously:
1x + 8y = 43/3
5x + 7y = 17/3 | 1x + 8y = 43/3
5x + 7y = 17/3
Using elimination
5*(1x + 8y = 43/3)
1*(5x + 7y = 17/3)
5x + 40y = 215/3
5x + 7y = 17/3
Subtract equations
33y = 66
y = 66/33
y = 2
Substitute y
1x + 8(2) = 43/3
1x = -5/3
x = -5/3/1
x = -5/3 |
Solve the equations:
1x + 1y = -13/2
6x + 10y = -73 | 1x + 1y = -13/2
6x + 10y = -73
Using elimination
6*(1x + 1y = -13/2)
1*(6x + 10y = -73)
6x + 6y = -39
6x + 10y = -73
Subtract equations
-4y = 34
y = 34/-4
y = -17/2
Substitute y
1x + 1(-17/2) = -13/2
1x = 2
x = 2/1
x = 2 |
Compute the solution of 1x - 7/2 = 0 | 1x - 7/2 = 0
1x = 7/2
x = 7/2 / 1
x = 7/2 |
Compute the solution of x^2 + 8x + 12 = 0 | x^2 + 8x + 12 = 0
(x - -6)(x - -2) = 0
x - -6 = 0 or x - -2 = 0
x = -6
x = -2 |
Solve simultaneously:
9x + 4y = 133
10x + 1y = 165 | 9x + 4y = 133
10x + 1y = 165
Using elimination
10*(9x + 4y = 133)
9*(10x + 1y = 165)
90x + 40y = 1330
90x + 9y = 1485
Subtract equations
31y = -155
y = -155/31
y = -5
Substitute y
9x + 4(-5) = 133
9x = 153
x = 153/9
x = 17 |
Solve the equations:
7x + 10y = 80/9
7x + 6y = 16/3 | 7x + 10y = 80/9
7x + 6y = 16/3
Using elimination
7*(7x + 10y = 80/9)
7*(7x + 6y = 16/3)
49x + 70y = 560/9
49x + 42y = 112/3
Subtract equations
28y = 224/9
y = 224/9/28
y = 8/9
Substitute y
7x + 10(8/9) = 80/9
7x = 0
x = 0/7
x = 0 |
Solve the equations:
1x + 2y = -4
4x + 4y = -14 | 1x + 2y = -4
4x + 4y = -14
Using elimination
4*(1x + 2y = -4)
1*(4x + 4y = -14)
4x + 8y = -16
4x + 4y = -14
Subtract equations
4y = -2
y = -2/4
y = -1/2
Substitute y
1x + 2(-1/2) = -4
1x = -3
x = -3/1
x = -3 |
Solve the system:
2x + 6y = 97/6
5x + 8y = 1091/36 | 2x + 6y = 97/6
5x + 8y = 1091/36
Using elimination
5*(2x + 6y = 97/6)
2*(5x + 8y = 1091/36)
10x + 30y = 485/6
10x + 16y = 1091/18
Subtract equations
14y = 182/9
y = 182/9/14
y = 13/9
Substitute y
2x + 6(13/9) = 97/6
2x = 15/2
x = 15/2/2
x = 15/4 |
Solve the system:
10x + 4y = 73/3
4x + 6y = 20 | 10x + 4y = 73/3
4x + 6y = 20
Using elimination
4*(10x + 4y = 73/3)
10*(4x + 6y = 20)
40x + 16y = 292/3
40x + 60y = 200
Subtract equations
-44y = -308/3
y = -308/3/-44
y = 7/3
Substitute y
10x + 4(7/3) = 73/3
10x = 15
x = 15/10
x = 3/2 |
Solve quickly: x^2 - 35/9x - 4/9 = 0 | x^2 - 35/9x - 4/9 = 0
(x - -1/9)(x - 4) = 0
x - -1/9 = 0 or x - 4 = 0
x = -1/9
x = 4 |
Find the solution to 1x - 1/5 = 0 | 1x - 1/5 = 0
1x = 1/5
x = 1/5 / 1
x = 1/5 |
Solve quickly: x^2 - 5/2x - 6 = 0 | x^2 - 5/2x - 6 = 0
(x - -3/2)(x - 4) = 0
x - -3/2 = 0 or x - 4 = 0
x = -3/2
x = 4 |
Find x in x^2 - 3/8x - 11/8 = 0 | x^2 - 3/8x - 11/8 = 0
(x - -1)(x - 11/8) = 0
x - -1 = 0 or x - 11/8 = 0
x = -1
x = 11/8 |
Solve the equations:
9x + 10y = -34
8x + 6y = -23 | 9x + 10y = -34
8x + 6y = -23
Using elimination
8*(9x + 10y = -34)
9*(8x + 6y = -23)
72x + 80y = -272
72x + 54y = -207
Subtract equations
26y = -65
y = -65/26
y = -5/2
Substitute y
9x + 10(-5/2) = -34
9x = -9
x = -9/9
x = -1 |
Find x and y such that
8x + 6y = 24
8x + 3y = 17 | 8x + 6y = 24
8x + 3y = 17
Using elimination
8*(8x + 6y = 24)
8*(8x + 3y = 17)
64x + 48y = 192
64x + 24y = 136
Subtract equations
24y = 56
y = 56/24
y = 7/3
Substitute y
8x + 6(7/3) = 24
8x = 10
x = 10/8
x = 5/4 |
Solve x^2 + 13/9x - 16/27 = 0 | x^2 + 13/9x - 16/27 = 0
(x - 1/3)(x - -16/9) = 0
x - 1/3 = 0 or x - -16/9 = 0
x = 1/3
x = -16/9 |
Determine x in x^3 + 8/5x^2 - 447/5x - 54 = 0 | x^3 + 8/5x^2 - 447/5x - 54 = 0
(x - -10)(x - -3/5)(x - 9) = 0
x - -10 = 0
x - -3/5 = 0
x - 9 = 0
x = -10
x = -3/5
x = 9 |
Determine x in 3x - 6 = 0 | 3x - 6 = 0
3x = 6
x = 6 / 3
x = 2 |
Determine x in 2x - 10/9 = 0 | 2x - 10/9 = 0
2x = 10/9
x = 10/9 / 2
x = 5/9 |
Find x for 2x - 19 = 0 | 2x - 19 = 0
2x = 19
x = 19 / 2
x = 19/2 |
What value of x satisfies 4x - 32/5 = 0 | 4x - 32/5 = 0
4x = 32/5
x = 32/5 / 4
x = 8/5 |
What value of x satisfies 6x - 6 = 0 | 6x - 6 = 0
6x = 6
x = 6 / 6
x = 1 |
Find x in x^2 - 13/5x - 48/25 = 0 | x^2 - 13/5x - 48/25 = 0
(x - -3/5)(x - 16/5) = 0
x - -3/5 = 0 or x - 16/5 = 0
x = -3/5
x = 16/5 |
Solve simultaneously:
5x + 10y = -120
4x + 9y = -109 | 5x + 10y = -120
4x + 9y = -109
Using elimination
4*(5x + 10y = -120)
5*(4x + 9y = -109)
20x + 40y = -480
20x + 45y = -545
Subtract equations
-5y = 65
y = 65/-5
y = -13
Substitute y
5x + 10(-13) = -120
5x = 10
x = 10/5
x = 2 |
What value of x satisfies x^2 + 5/3x - 50/3 = 0 | x^2 + 5/3x - 50/3 = 0
(x - 10/3)(x - -5) = 0
x - 10/3 = 0 or x - -5 = 0
x = 10/3
x = -5 |
Solve quickly: x^3 - 22x^2 + 67x + 90 = 0 | x^3 - 22x^2 + 67x + 90 = 0
(x - 18)(x - 5)(x - -1) = 0
x - 18 = 0
x - 5 = 0
x - -1 = 0
x = 18
x = 5
x = -1 |
Solve simultaneously:
2x + 7y = 43/5
8x + 7y = 5 | 2x + 7y = 43/5
8x + 7y = 5
Using elimination
8*(2x + 7y = 43/5)
2*(8x + 7y = 5)
16x + 56y = 344/5
16x + 14y = 10
Subtract equations
42y = 294/5
y = 294/5/42
y = 7/5
Substitute y
2x + 7(7/5) = 43/5
2x = -6/5
x = -6/5/2
x = -3/5 |
Solve the system:
3x + 8y = 91/5
2x + 10y = 119/5 | 3x + 8y = 91/5
2x + 10y = 119/5
Using elimination
2*(3x + 8y = 91/5)
3*(2x + 10y = 119/5)
6x + 16y = 182/5
6x + 30y = 357/5
Subtract equations
-14y = -35
y = -35/-14
y = 5/2
Substitute y
3x + 8(5/2) = 91/5
3x = -9/5
x = -9/5/3
x = -3/5 |
Solve x^3 - 19/4x^2 + 57/8x - 27/8 = 0 | x^3 - 19/4x^2 + 57/8x - 27/8 = 0
(x - 9/4)(x - 1)(x - 3/2) = 0
x - 9/4 = 0
x - 1 = 0
x - 3/2 = 0
x = 9/4
x = 1
x = 3/2 |
Solve the equation x^3 - 121/20x^2 + 57/5x - 27/4 = 0 | x^3 - 121/20x^2 + 57/5x - 27/4 = 0
(x - 3)(x - 9/5)(x - 5/4) = 0
x - 3 = 0
x - 9/5 = 0
x - 5/4 = 0
x = 3
x = 9/5
x = 5/4 |
Find x in x^2 + 104/15x + 169/15 = 0 | x^2 + 104/15x + 169/15 = 0
(x - -13/3)(x - -13/5) = 0
x - -13/3 = 0 or x - -13/5 = 0
x = -13/3
x = -13/5 |
Determine x in 9x + 16 = 0 | 9x + 16 = 0
9x = -16
x = -16 / 9
x = -16/9 |
Solve the equations:
9x + 9y = 99/35
9x + 6y = 24/35 | 9x + 9y = 99/35
9x + 6y = 24/35
Using elimination
9*(9x + 9y = 99/35)
9*(9x + 6y = 24/35)
81x + 81y = 891/35
81x + 54y = 216/35
Subtract equations
27y = 135/7
y = 135/7/27
y = 5/7
Substitute y
9x + 9(5/7) = 99/35
9x = -18/5
x = -18/5/9
x = -2/5 |
Determine x in x^2 - 13/2x + 15/2 = 0 | x^2 - 13/2x + 15/2 = 0
(x - 3/2)(x - 5) = 0
x - 3/2 = 0 or x - 5 = 0
x = 3/2
x = 5 |
Find x for x^2 - 109/10x + 51/2 = 0 | x^2 - 109/10x + 51/2 = 0
(x - 15/2)(x - 17/5) = 0
x - 15/2 = 0 or x - 17/5 = 0
x = 15/2
x = 17/5 |
What value of x satisfies x^3 + 5/42x^2 - 253/42x - 95/21 = 0 | x^3 + 5/42x^2 - 253/42x - 95/21 = 0
(x - 19/7)(x - -2)(x - -5/6) = 0
x - 19/7 = 0
x - -2 = 0
x - -5/6 = 0
x = 19/7
x = -2
x = -5/6 |
Solve the system:
8x + 4y = 272/7
2x + 3y = 64/7 | 8x + 4y = 272/7
2x + 3y = 64/7
Using elimination
2*(8x + 4y = 272/7)
8*(2x + 3y = 64/7)
16x + 8y = 544/7
16x + 24y = 512/7
Subtract equations
-16y = 32/7
y = 32/7/-16
y = -2/7
Substitute y
8x + 4(-2/7) = 272/7
8x = 40
x = 40/8
x = 5 |
Solve quickly: x^3 + 1273/252x^2 + 601/84x + 143/63 = 0 | x^3 + 1273/252x^2 + 601/84x + 143/63 = 0
(x - -13/7)(x - -11/4)(x - -4/9) = 0
x - -13/7 = 0
x - -11/4 = 0
x - -4/9 = 0
x = -13/7
x = -11/4
x = -4/9 |
Compute the solution of x^3 + 157/20x^2 - 59/4x - 198/5 = 0 | x^3 + 157/20x^2 - 59/4x - 198/5 = 0
(x - 11/4)(x - -8/5)(x - -9) = 0
x - 11/4 = 0
x - -8/5 = 0
x - -9 = 0
x = 11/4
x = -8/5
x = -9 |
Solve simultaneously:
10x + 4y = 289/6
2x + 3y = 10 | 10x + 4y = 289/6
2x + 3y = 10
Using elimination
2*(10x + 4y = 289/6)
10*(2x + 3y = 10)
20x + 8y = 289/3
20x + 30y = 100
Subtract equations
-22y = -11/3
y = -11/3/-22
y = 1/6
Substitute y
10x + 4(1/6) = 289/6
10x = 95/2
x = 95/2/10
x = 19/4 |
Solve quickly: x^3 - 51/10x^2 - 733/10x - 114 = 0 | x^3 - 51/10x^2 - 733/10x - 114 = 0
(x - -5)(x - 12)(x - -19/10) = 0
x - -5 = 0
x - 12 = 0
x - -19/10 = 0
x = -5
x = 12
x = -19/10 |
What value of x satisfies x^3 - 337/126x^2 - 505/63x + 323/18 = 0 | x^3 - 337/126x^2 - 505/63x + 323/18 = 0
(x - 17/9)(x - 7/2)(x - -19/7) = 0
x - 17/9 = 0
x - 7/2 = 0
x - -19/7 = 0
x = 17/9
x = 7/2
x = -19/7 |
Determine x in x^3 - 1/3x^2 - 10/3x = 0 | x^3 - 1/3x^2 - 10/3x = 0
(x - 2)(x - 0)(x - -5/3) = 0
x - 2 = 0
x - 0 = 0
x - -5/3 = 0
x = 2
x = 0
x = -5/3 |
Solve the equations:
1x + 7y = 142/9
9x + 2y = -43/7 | 1x + 7y = 142/9
9x + 2y = -43/7
Using elimination
9*(1x + 7y = 142/9)
1*(9x + 2y = -43/7)
9x + 63y = 142
9x + 2y = -43/7
Subtract equations
61y = 1037/7
y = 1037/7/61
y = 17/7
Substitute y
1x + 7(17/7) = 142/9
1x = -11/9
x = -11/9/1
x = -11/9 |
Find x for x^2 - 79/8x + 285/16 = 0 | x^2 - 79/8x + 285/16 = 0
(x - 19/8)(x - 15/2) = 0
x - 19/8 = 0 or x - 15/2 = 0
x = 19/8
x = 15/2 |
Find x for x^3 + 25/8x^2 + 1/8x - 17/4 = 0 | x^3 + 25/8x^2 + 1/8x - 17/4 = 0
(x - -2)(x - 1)(x - -17/8) = 0
x - -2 = 0
x - 1 = 0
x - -17/8 = 0
x = -2
x = 1
x = -17/8 |
Find x for x^3 - 161/20x^2 + 2097/100x - 891/50 = 0 | x^3 - 161/20x^2 + 2097/100x - 891/50 = 0
(x - 11/5)(x - 18/5)(x - 9/4) = 0
x - 11/5 = 0
x - 18/5 = 0
x - 9/4 = 0
x = 11/5
x = 18/5
x = 9/4 |
What value of x satisfies 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 x in x^2 - 49/12x - 57/4 = 0 | x^2 - 49/12x - 57/4 = 0
(x - 19/3)(x - -9/4) = 0
x - 19/3 = 0 or x - -9/4 = 0
x = 19/3
x = -9/4 |
Find the solution to 7x - 70 = 0 | 7x - 70 = 0
7x = 70
x = 70 / 7
x = 10 |
Find x in x^2 - 28/15x - 323/15 = 0 | x^2 - 28/15x - 323/15 = 0
(x - -19/5)(x - 17/3) = 0
x - -19/5 = 0 or x - 17/3 = 0
x = -19/5
x = 17/3 |
What value of x satisfies x^2 - 9/7x - 36/7 = 0 | x^2 - 9/7x - 36/7 = 0
(x - 3)(x - -12/7) = 0
x - 3 = 0 or x - -12/7 = 0
x = 3
x = -12/7 |
Solve x^2 - 23/3x - 12 = 0 | x^2 - 23/3x - 12 = 0
(x - -4/3)(x - 9) = 0
x - -4/3 = 0 or x - 9 = 0
x = -4/3
x = 9 |
Solve simultaneously:
5x + 7y = -141/2
1x + 4y = -18 | 5x + 7y = -141/2
1x + 4y = -18
Using elimination
1*(5x + 7y = -141/2)
5*(1x + 4y = -18)
5x + 7y = -141/2
5x + 20y = -90
Subtract equations
-13y = 39/2
y = 39/2/-13
y = -3/2
Substitute y
5x + 7(-3/2) = -141/2
5x = -60
x = -60/5
x = -12 |
Find the solution to x^3 + 41/12x^2 + 667/192x + 35/32 = 0 | x^3 + 41/12x^2 + 667/192x + 35/32 = 0
(x - -2/3)(x - -15/8)(x - -7/8) = 0
x - -2/3 = 0
x - -15/8 = 0
x - -7/8 = 0
x = -2/3
x = -15/8
x = -7/8 |
Find the solution to x^2 - 7/2x - 15 = 0 | x^2 - 7/2x - 15 = 0
(x - 6)(x - -5/2) = 0
x - 6 = 0 or x - -5/2 = 0
x = 6
x = -5/2 |
Solve the equations:
8x + 2y = 196/15
3x + 6y = 7/5 | 8x + 2y = 196/15
3x + 6y = 7/5
Using elimination
3*(8x + 2y = 196/15)
8*(3x + 6y = 7/5)
24x + 6y = 196/5
24x + 48y = 56/5
Subtract equations
-42y = 28
y = 28/-42
y = -2/3
Substitute y
8x + 2(-2/3) = 196/15
8x = 72/5
x = 72/5/8
x = 9/5 |
Solve simultaneously:
5x + 7y = -573/35
3x + 1y = -299/35 | 5x + 7y = -573/35
3x + 1y = -299/35
Using elimination
3*(5x + 7y = -573/35)
5*(3x + 1y = -299/35)
15x + 21y = -1719/35
15x + 5y = -299/7
Subtract equations
16y = -32/5
y = -32/5/16
y = -2/5
Substitute y
5x + 7(-2/5) = -573/35
5x = -95/7
x = -95/7/5
x = -19/7 |
Solve the equation x^2 + 31/3x + 238/9 = 0 | x^2 + 31/3x + 238/9 = 0
(x - -14/3)(x - -17/3) = 0
x - -14/3 = 0 or x - -17/3 = 0
x = -14/3
x = -17/3 |
Find the solution to 2x - 7/5 = 0 | 2x - 7/5 = 0
2x = 7/5
x = 7/5 / 2
x = 7/10 |
Solve the equation x^2 - 43/15x - 16/15 = 0 | x^2 - 43/15x - 16/15 = 0
(x - 16/5)(x - -1/3) = 0
x - 16/5 = 0 or x - -1/3 = 0
x = 16/5
x = -1/3 |
Find x in x^3 + 1157/56x^2 + 523/8x + 374/7 = 0 | x^3 + 1157/56x^2 + 523/8x + 374/7 = 0
(x - -11/8)(x - -17)(x - -16/7) = 0
x - -11/8 = 0
x - -17 = 0
x - -16/7 = 0
x = -11/8
x = -17
x = -16/7 |
Find x for x^3 - 73/5x^2 + 427/20x - 143/20 = 0 | x^3 - 73/5x^2 + 427/20x - 143/20 = 0
(x - 11/10)(x - 13)(x - 1/2) = 0
x - 11/10 = 0
x - 13 = 0
x - 1/2 = 0
x = 11/10
x = 13
x = 1/2 |
Find x for x^3 + 35/6x^2 + 1/2x - 22/3 = 0 | x^3 + 35/6x^2 + 1/2x - 22/3 = 0
(x - -11/2)(x - 1)(x - -4/3) = 0
x - -11/2 = 0
x - 1 = 0
x - -4/3 = 0
x = -11/2
x = 1
x = -4/3 |
Find the solution to x^3 - 10/7x^2 - 277/49x + 442/49 = 0 | x^3 - 10/7x^2 - 277/49x + 442/49 = 0
(x - 13/7)(x - 2)(x - -17/7) = 0
x - 13/7 = 0
x - 2 = 0
x - -17/7 = 0
x = 13/7
x = 2
x = -17/7 |
Solve quickly: x^2 + 7/5x = 0 | x^2 + 7/5x = 0
(x - -7/5)(x - 0) = 0
x - -7/5 = 0 or x - 0 = 0
x = -7/5
x = 0 |
What value of x satisfies x^2 + 17/7x - 12/7 = 0 | x^2 + 17/7x - 12/7 = 0
(x - -3)(x - 4/7) = 0
x - -3 = 0 or x - 4/7 = 0
x = -3
x = 4/7 |
Determine x in x^2 - 1/9x - 34/9 = 0 | x^2 - 1/9x - 34/9 = 0
(x - -17/9)(x - 2) = 0
x - -17/9 = 0 or x - 2 = 0
x = -17/9
x = 2 |
Find x and y such that
3x + 5y = 221/4
3x + 7y = 301/4 | 3x + 5y = 221/4
3x + 7y = 301/4
Using elimination
3*(3x + 5y = 221/4)
3*(3x + 7y = 301/4)
9x + 15y = 663/4
9x + 21y = 903/4
Subtract equations
-6y = -60
y = -60/-6
y = 10
Substitute y
3x + 5(10) = 221/4
3x = 21/4
x = 21/4/3
x = 7/4 |
Determine x in 4x + 32/3 = 0 | 4x + 32/3 = 0
4x = -32/3
x = -32/3 / 4
x = -8/3 |
Find x for x^2 + 39/7x + 44/7 = 0 | x^2 + 39/7x + 44/7 = 0
(x - -11/7)(x - -4) = 0
x - -11/7 = 0 or x - -4 = 0
x = -11/7
x = -4 |
Compute the solution of 7x - 56 = 0 | 7x - 56 = 0
7x = 56
x = 56 / 7
x = 8 |
Solve quickly: x^3 + 3x^2 - 64x + 60 = 0 | x^3 + 3x^2 - 64x + 60 = 0
(x - -10)(x - 1)(x - 6) = 0
x - -10 = 0
x - 1 = 0
x - 6 = 0
x = -10
x = 1
x = 6 |
Compute the solution of 7x + 91/8 = 0 | 7x + 91/8 = 0
7x = -91/8
x = -91/8 / 7
x = -13/8 |
Determine x in x^2 + 43/2x + 30 = 0 | x^2 + 43/2x + 30 = 0
(x - -3/2)(x - -20) = 0
x - -3/2 = 0 or x - -20 = 0
x = -3/2
x = -20 |
Find x for x^2 - 1/2x - 3 = 0 | x^2 - 1/2x - 3 = 0
(x - 2)(x - -3/2) = 0
x - 2 = 0 or x - -3/2 = 0
x = 2
x = -3/2 |
Find x for x^2 - 59/18x + 8/3 = 0 | x^2 - 59/18x + 8/3 = 0
(x - 16/9)(x - 3/2) = 0
x - 16/9 = 0 or x - 3/2 = 0
x = 16/9
x = 3/2 |
Solve x^3 - 46/3x^2 + 113/3x + 110 = 0 | x^3 - 46/3x^2 + 113/3x + 110 = 0
(x - 6)(x - 11)(x - -5/3) = 0
x - 6 = 0
x - 11 = 0
x - -5/3 = 0
x = 6
x = 11
x = -5/3 |
Find x and y such that
5x + 4y = -184/15
5x + 6y = -226/15 | 5x + 4y = -184/15
5x + 6y = -226/15
Using elimination
5*(5x + 4y = -184/15)
5*(5x + 6y = -226/15)
25x + 20y = -184/3
25x + 30y = -226/3
Subtract equations
-10y = 14
y = 14/-10
y = -7/5
Substitute y
5x + 4(-7/5) = -184/15
5x = -20/3
x = -20/3/5
x = -4/3 |
Find the solution to x^2 + 13/8x = 0 | x^2 + 13/8x = 0
(x - 0)(x - -13/8) = 0
x - 0 = 0 or x - -13/8 = 0
x = 0
x = -13/8 |
Solve the equation x^2 + 3/4x - 135/8 = 0 | x^2 + 3/4x - 135/8 = 0
(x - 15/4)(x - -9/2) = 0
x - 15/4 = 0 or x - -9/2 = 0
x = 15/4
x = -9/2 |
Solve quickly: x^3 + 469/45x^2 + 196/15x + 12/5 = 0 | x^3 + 469/45x^2 + 196/15x + 12/5 = 0
(x - -9)(x - -2/9)(x - -6/5) = 0
x - -9 = 0
x - -2/9 = 0
x - -6/5 = 0
x = -9
x = -2/9
x = -6/5 |
Solve x^3 + 13/18x^2 - 19/9x - 11/6 = 0 | x^3 + 13/18x^2 - 19/9x - 11/6 = 0
(x - 3/2)(x - -1)(x - -11/9) = 0
x - 3/2 = 0
x - -1 = 0
x - -11/9 = 0
x = 3/2
x = -1
x = -11/9 |
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