input stringlengths 13 66 | output stringlengths 30 276 |
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Find x in x^2 - 217/36x + 68/9 = 0 | x^2 - 217/36x + 68/9 = 0
(x - 17/4)(x - 16/9) = 0
x - 17/4 = 0 or x - 16/9 = 0
x = 17/4
x = 16/9 |
Find x in x^2 + 39/4x + 27/4 = 0 | x^2 + 39/4x + 27/4 = 0
(x - -3/4)(x - -9) = 0
x - -3/4 = 0 or x - -9 = 0
x = -3/4
x = -9 |
Solve the equations:
4x + 9y = 38/7
7x + 4y = 90/7 | 4x + 9y = 38/7
7x + 4y = 90/7
Using elimination
7*(4x + 9y = 38/7)
4*(7x + 4y = 90/7)
28x + 63y = 38
28x + 16y = 360/7
Subtract equations
47y = -94/7
y = -94/7/47
y = -2/7
Substitute y
4x + 9(-2/7) = 38/7
4x = 8
x = 8/4
x = 2 |
Solve the system:
4x + 9y = -163/2
9x + 6y = -162 | 4x + 9y = -163/2
9x + 6y = -162
Using elimination
9*(4x + 9y = -163/2)
4*(9x + 6y = -162)
36x + 81y = -1467/2
36x + 24y = -648
Subtract equations
57y = -171/2
y = -171/2/57
y = -3/2
Substitute y
4x + 9(-3/2) = -163/2
4x = -68
x = -68/4
x = -17 |
Find the solution to 7x + 2 = 0 | 7x + 2 = 0
7x = -2
x = -2 / 7
x = -2/7 |
Solve the system:
6x + 4y = -104
7x + 2y = -104 | 6x + 4y = -104
7x + 2y = -104
Using elimination
7*(6x + 4y = -104)
6*(7x + 2y = -104)
42x + 28y = -728
42x + 12y = -624
Subtract equations
16y = -104
y = -104/16
y = -13/2
Substitute y
6x + 4(-13/2) = -104
6x = -78
x = -78/6
x = -13 |
Solve the equations:
10x + 5y = -170
10x + 8y = -164 | 10x + 5y = -170
10x + 8y = -164
Using elimination
10*(10x + 5y = -170)
10*(10x + 8y = -164)
100x + 50y = -1700
100x + 80y = -1640
Subtract equations
-30y = -60
y = -60/-30
y = 2
Substitute y
10x + 5(2) = -170
10x = -180
x = -180/10
x = -18 |
Find x for 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 |
Compute the solution of x^3 + 187/21x^2 + 515/21x + 143/7 = 0 | x^3 + 187/21x^2 + 515/21x + 143/7 = 0
(x - -3)(x - -13/3)(x - -11/7) = 0
x - -3 = 0
x - -13/3 = 0
x - -11/7 = 0
x = -3
x = -13/3
x = -11/7 |
Solve quickly: x^3 - 53/36x^2 - 115/36x + 77/18 = 0 | x^3 - 53/36x^2 - 115/36x + 77/18 = 0
(x - 2)(x - 11/9)(x - -7/4) = 0
x - 2 = 0
x - 11/9 = 0
x - -7/4 = 0
x = 2
x = 11/9
x = -7/4 |
Solve the equation x^2 + 85/28x - 75/28 = 0 | x^2 + 85/28x - 75/28 = 0
(x - 5/7)(x - -15/4) = 0
x - 5/7 = 0 or x - -15/4 = 0
x = 5/7
x = -15/4 |
Find x for x^3 + 233/56x^2 + 347/112x - 19/7 = 0 | x^3 + 233/56x^2 + 347/112x - 19/7 = 0
(x - -19/8)(x - 1/2)(x - -16/7) = 0
x - -19/8 = 0
x - 1/2 = 0
x - -16/7 = 0
x = -19/8
x = 1/2
x = -16/7 |
Find x and y such that
6x + 9y = -303/35
1x + 4y = -351/70 | 6x + 9y = -303/35
1x + 4y = -351/70
Using elimination
1*(6x + 9y = -303/35)
6*(1x + 4y = -351/70)
6x + 9y = -303/35
6x + 24y = -1053/35
Subtract equations
-15y = 150/7
y = 150/7/-15
y = -10/7
Substitute y
6x + 9(-10/7) = -303/35
6x = 21/5
x = 21/5/6
x = 7/10 |
Find the solution to 1x + 7/4 = 0 | 1x + 7/4 = 0
1x = -7/4
x = -7/4 / 1
x = -7/4 |
Find x and y such that
2x + 1y = -27/20
8x + 1y = -243/20 | 2x + 1y = -27/20
8x + 1y = -243/20
Using elimination
8*(2x + 1y = -27/20)
2*(8x + 1y = -243/20)
16x + 8y = -54/5
16x + 2y = -243/10
Subtract equations
6y = 27/2
y = 27/2/6
y = 9/4
Substitute y
2x + 1(9/4) = -27/20
2x = -18/5
x = -18/5/2
x = -9/5 |
Solve the equation 5x - 80 = 0 | 5x - 80 = 0
5x = 80
x = 80 / 5
x = 16 |
Solve x^3 - 253/84x^2 + 73/84x + 5/3 = 0 | x^3 - 253/84x^2 + 73/84x + 5/3 = 0
(x - -4/7)(x - 7/3)(x - 5/4) = 0
x - -4/7 = 0
x - 7/3 = 0
x - 5/4 = 0
x = -4/7
x = 7/3
x = 5/4 |
Compute the solution of x^2 + 34/35x - 33/35 = 0 | x^2 + 34/35x - 33/35 = 0
(x - -11/7)(x - 3/5) = 0
x - -11/7 = 0 or x - 3/5 = 0
x = -11/7
x = 3/5 |
Determine x in x^2 + 34/15x - 16/15 = 0 | x^2 + 34/15x - 16/15 = 0
(x - -8/3)(x - 2/5) = 0
x - -8/3 = 0 or x - 2/5 = 0
x = -8/3
x = 2/5 |
Solve x^2 - 21/40x - 143/80 = 0 | x^2 - 21/40x - 143/80 = 0
(x - -11/10)(x - 13/8) = 0
x - -11/10 = 0 or x - 13/8 = 0
x = -11/10
x = 13/8 |
What value of x satisfies x^3 + 13/2x^2 + 213/16x + 135/16 = 0 | x^3 + 13/2x^2 + 213/16x + 135/16 = 0
(x - -5/4)(x - -3)(x - -9/4) = 0
x - -5/4 = 0
x - -3 = 0
x - -9/4 = 0
x = -5/4
x = -3
x = -9/4 |
Solve quickly: x^3 - 29/6x^2 - 21/2x + 19/3 = 0 | x^3 - 29/6x^2 - 21/2x + 19/3 = 0
(x - 1/2)(x - 19/3)(x - -2) = 0
x - 1/2 = 0
x - 19/3 = 0
x - -2 = 0
x = 1/2
x = 19/3
x = -2 |
Solve quickly: 1x - 1 = 0 | 1x - 1 = 0
1x = 1
x = 1 / 1
x = 1 |
Find x in x^2 + 89/10x + 133/10 = 0 | x^2 + 89/10x + 133/10 = 0
(x - -7)(x - -19/10) = 0
x - -7 = 0 or x - -19/10 = 0
x = -7
x = -19/10 |
Solve the system:
4x + 5y = -114/7
1x + 5y = -207/14 | 4x + 5y = -114/7
1x + 5y = -207/14
Using elimination
1*(4x + 5y = -114/7)
4*(1x + 5y = -207/14)
4x + 5y = -114/7
4x + 20y = -414/7
Subtract equations
-15y = 300/7
y = 300/7/-15
y = -20/7
Substitute y
4x + 5(-20/7) = -114/7
4x = -2
x = -2/4
x = -1/2 |
Find the solution to 10x - 40 = 0 | 10x - 40 = 0
10x = 40
x = 40 / 10
x = 4 |
Solve the system:
3x + 6y = -175/6
6x + 1y = -205/12 | 3x + 6y = -175/6
6x + 1y = -205/12
Using elimination
6*(3x + 6y = -175/6)
3*(6x + 1y = -205/12)
18x + 36y = -175
18x + 3y = -205/4
Subtract equations
33y = -495/4
y = -495/4/33
y = -15/4
Substitute y
3x + 6(-15/4) = -175/6
3x = -20/3
x = -20/3/3
x = -20/9 |
Compute the solution of x^2 + 23/4x - 85/2 = 0 | x^2 + 23/4x - 85/2 = 0
(x - -10)(x - 17/4) = 0
x - -10 = 0 or x - 17/4 = 0
x = -10
x = 17/4 |
Solve simultaneously:
9x + 8y = -571/20
10x + 7y = -287/10 | 9x + 8y = -571/20
10x + 7y = -287/10
Using elimination
10*(9x + 8y = -571/20)
9*(10x + 7y = -287/10)
90x + 80y = -571/2
90x + 63y = -2583/10
Subtract equations
17y = -136/5
y = -136/5/17
y = -8/5
Substitute y
9x + 8(-8/5) = -571/20
9x = -63/4
x = -63/4/9
x = -7/4 |
Find x for 3x - 45/2 = 0 | 3x - 45/2 = 0
3x = 45/2
x = 45/2 / 3
x = 15/2 |
What value of x satisfies x^2 - 123/10x + 133/5 = 0 | x^2 - 123/10x + 133/5 = 0
(x - 19/2)(x - 14/5) = 0
x - 19/2 = 0 or x - 14/5 = 0
x = 19/2
x = 14/5 |
Solve the equation 4x + 64/7 = 0 | 4x + 64/7 = 0
4x = -64/7
x = -64/7 / 4
x = -16/7 |
Determine x in 2x - 36/5 = 0 | 2x - 36/5 = 0
2x = 36/5
x = 36/5 / 2
x = 18/5 |
Compute the solution of x^2 + 20/3x + 4 = 0 | x^2 + 20/3x + 4 = 0
(x - -6)(x - -2/3) = 0
x - -6 = 0 or x - -2/3 = 0
x = -6
x = -2/3 |
Solve the system:
2x + 5y = -126
5x + 8y = -225 | 2x + 5y = -126
5x + 8y = -225
Using elimination
5*(2x + 5y = -126)
2*(5x + 8y = -225)
10x + 25y = -630
10x + 16y = -450
Subtract equations
9y = -180
y = -180/9
y = -20
Substitute y
2x + 5(-20) = -126
2x = -26
x = -26/2
x = -13 |
Determine x in x^2 + 23/3x + 14 = 0 | x^2 + 23/3x + 14 = 0
(x - -14/3)(x - -3) = 0
x - -14/3 = 0 or x - -3 = 0
x = -14/3
x = -3 |
Solve the equations:
7x + 5y = -17/2
7x + 8y = -25 | 7x + 5y = -17/2
7x + 8y = -25
Using elimination
7*(7x + 5y = -17/2)
7*(7x + 8y = -25)
49x + 35y = -119/2
49x + 56y = -175
Subtract equations
-21y = 231/2
y = 231/2/-21
y = -11/2
Substitute y
7x + 5(-11/2) = -17/2
7x = 19
x = 19/7
x = 19/7 |
Find x for x^2 + 19/5x + 18/5 = 0 | x^2 + 19/5x + 18/5 = 0
(x - -9/5)(x - -2) = 0
x - -9/5 = 0 or x - -2 = 0
x = -9/5
x = -2 |
Solve the equations:
6x + 4y = -110/9
5x + 8y = -115/9 | 6x + 4y = -110/9
5x + 8y = -115/9
Using elimination
5*(6x + 4y = -110/9)
6*(5x + 8y = -115/9)
30x + 20y = -550/9
30x + 48y = -230/3
Subtract equations
-28y = 140/9
y = 140/9/-28
y = -5/9
Substitute y
6x + 4(-5/9) = -110/9
6x = -10
x = -10/6
x = -5/3 |
Solve the system:
6x + 10y = -242/7
5x + 4y = -527/21 | 6x + 10y = -242/7
5x + 4y = -527/21
Using elimination
5*(6x + 10y = -242/7)
6*(5x + 4y = -527/21)
30x + 50y = -1210/7
30x + 24y = -1054/7
Subtract equations
26y = -156/7
y = -156/7/26
y = -6/7
Substitute y
6x + 10(-6/7) = -242/7
6x = -26
x = -26/6
x = -13/3 |
Find x in x^2 + 108/35x + 81/35 = 0 | x^2 + 108/35x + 81/35 = 0
(x - -9/7)(x - -9/5) = 0
x - -9/7 = 0 or x - -9/5 = 0
x = -9/7
x = -9/5 |
Find the solution to 5x - 65/6 = 0 | 5x - 65/6 = 0
5x = 65/6
x = 65/6 / 5
x = 13/6 |
Compute the solution of x^2 + 3/7x - 40/49 = 0 | x^2 + 3/7x - 40/49 = 0
(x - -8/7)(x - 5/7) = 0
x - -8/7 = 0 or x - 5/7 = 0
x = -8/7
x = 5/7 |
Solve simultaneously:
3x + 10y = 512/15
2x + 9y = 141/5 | 3x + 10y = 512/15
2x + 9y = 141/5
Using elimination
2*(3x + 10y = 512/15)
3*(2x + 9y = 141/5)
6x + 20y = 1024/15
6x + 27y = 423/5
Subtract equations
-7y = -49/3
y = -49/3/-7
y = 7/3
Substitute y
3x + 10(7/3) = 512/15
3x = 54/5
x = 54/5/3
x = 18/5 |
Find the solution to x^2 + 4x - 32 = 0 | x^2 + 4x - 32 = 0
(x - -8)(x - 4) = 0
x - -8 = 0 or x - 4 = 0
x = -8
x = 4 |
Find x and y such that
4x + 5y = 21/4
5x + 4y = 15/4 | 4x + 5y = 21/4
5x + 4y = 15/4
Using elimination
5*(4x + 5y = 21/4)
4*(5x + 4y = 15/4)
20x + 25y = 105/4
20x + 16y = 15
Subtract equations
9y = 45/4
y = 45/4/9
y = 5/4
Substitute y
4x + 5(5/4) = 21/4
4x = -1
x = -1/4
x = -1/4 |
Determine x in x^3 + 103/45x^2 - 44/45x - 28/9 = 0 | x^3 + 103/45x^2 - 44/45x - 28/9 = 0
(x - 10/9)(x - -2)(x - -7/5) = 0
x - 10/9 = 0
x - -2 = 0
x - -7/5 = 0
x = 10/9
x = -2
x = -7/5 |
Solve x^2 - 28/15x - 64/15 = 0 | x^2 - 28/15x - 64/15 = 0
(x - -4/3)(x - 16/5) = 0
x - -4/3 = 0 or x - 16/5 = 0
x = -4/3
x = 16/5 |
Find x and y such that
1x + 7y = 73/6
1x + 2y = 211/42 | 1x + 7y = 73/6
1x + 2y = 211/42
Using elimination
1*(1x + 7y = 73/6)
1*(1x + 2y = 211/42)
1x + 7y = 73/6
1x + 2y = 211/42
Subtract equations
5y = 50/7
y = 50/7/5
y = 10/7
Substitute y
1x + 7(10/7) = 73/6
1x = 13/6
x = 13/6/1
x = 13/6 |
Solve the equation x^2 + 6/5x - 17/20 = 0 | x^2 + 6/5x - 17/20 = 0
(x - 1/2)(x - -17/10) = 0
x - 1/2 = 0 or x - -17/10 = 0
x = 1/2
x = -17/10 |
Solve x^3 - 23/3x^2 - 32/3x + 64 = 0 | x^3 - 23/3x^2 - 32/3x + 64 = 0
(x - 8)(x - 8/3)(x - -3) = 0
x - 8 = 0
x - 8/3 = 0
x - -3 = 0
x = 8
x = 8/3
x = -3 |
Solve x^3 + 149/90x^2 - 67/54x - 55/27 = 0 | x^3 + 149/90x^2 - 67/54x - 55/27 = 0
(x - 10/9)(x - -11/10)(x - -5/3) = 0
x - 10/9 = 0
x - -11/10 = 0
x - -5/3 = 0
x = 10/9
x = -11/10
x = -5/3 |
Solve x^3 + 103/10x^2 - 103/10x - 143/5 = 0 | x^3 + 103/10x^2 - 103/10x - 143/5 = 0
(x - -13/10)(x - 2)(x - -11) = 0
x - -13/10 = 0
x - 2 = 0
x - -11 = 0
x = -13/10
x = 2
x = -11 |
Find x in x^2 + 13/40x - 3/16 = 0 | x^2 + 13/40x - 3/16 = 0
(x - 3/10)(x - -5/8) = 0
x - 3/10 = 0 or x - -5/8 = 0
x = 3/10
x = -5/8 |
Find x for 7x - 35/3 = 0 | 7x - 35/3 = 0
7x = 35/3
x = 35/3 / 7
x = 5/3 |
Find x for x^3 + 529/42x^2 + 272/7x + 1445/42 = 0 | x^3 + 529/42x^2 + 272/7x + 1445/42 = 0
(x - -17/2)(x - -5/3)(x - -17/7) = 0
x - -17/2 = 0
x - -5/3 = 0
x - -17/7 = 0
x = -17/2
x = -5/3
x = -17/7 |
Solve the system:
4x + 9y = 91/18
8x + 10y = -17/9 | 4x + 9y = 91/18
8x + 10y = -17/9
Using elimination
8*(4x + 9y = 91/18)
4*(8x + 10y = -17/9)
32x + 72y = 364/9
32x + 40y = -68/9
Subtract equations
32y = 48
y = 48/32
y = 3/2
Substitute y
4x + 9(3/2) = 91/18
4x = -76/9
x = -76/9/4
x = -19/9 |
Compute the solution of 8x - 8/9 = 0 | 8x - 8/9 = 0
8x = 8/9
x = 8/9 / 8
x = 1/9 |
Find the solution to x^2 + 18/7x = 0 | x^2 + 18/7x = 0
(x - -18/7)(x - 0) = 0
x - -18/7 = 0 or x - 0 = 0
x = -18/7
x = 0 |
Solve the equations:
1x + 10y = -59/2
9x + 2y = -3/2 | 1x + 10y = -59/2
9x + 2y = -3/2
Using elimination
9*(1x + 10y = -59/2)
1*(9x + 2y = -3/2)
9x + 90y = -531/2
9x + 2y = -3/2
Subtract equations
88y = -264
y = -264/88
y = -3
Substitute y
1x + 10(-3) = -59/2
1x = 1/2
x = 1/2/1
x = 1/2 |
Find the solution to x^2 + 161/30x + 104/15 = 0 | x^2 + 161/30x + 104/15 = 0
(x - -13/6)(x - -16/5) = 0
x - -13/6 = 0 or x - -16/5 = 0
x = -13/6
x = -16/5 |
Solve quickly: 7x - 133/3 = 0 | 7x - 133/3 = 0
7x = 133/3
x = 133/3 / 7
x = 19/3 |
Solve 2x = 0 | 2x = 0
2x = 0
x = 0 / 2
x = 0 |
Solve quickly: x^3 - 65/24x^2 - 647/144x + 221/18 = 0 | x^3 - 65/24x^2 - 647/144x + 221/18 = 0
(x - 8/3)(x - 13/6)(x - -17/8) = 0
x - 8/3 = 0
x - 13/6 = 0
x - -17/8 = 0
x = 8/3
x = 13/6
x = -17/8 |
Find x for 4x + 52 = 0 | 4x + 52 = 0
4x = -52
x = -52 / 4
x = -13 |
Determine x in x^3 + 13/14x^2 - 13/2x - 45/7 = 0 | x^3 + 13/14x^2 - 13/2x - 45/7 = 0
(x - -5/2)(x - 18/7)(x - -1) = 0
x - -5/2 = 0
x - 18/7 = 0
x - -1 = 0
x = -5/2
x = 18/7
x = -1 |
What value of x satisfies 8x + 36 = 0 | 8x + 36 = 0
8x = -36
x = -36 / 8
x = -9/2 |
Find x and y such that
8x + 5y = -17/2
10x + 7y = -23/2 | 8x + 5y = -17/2
10x + 7y = -23/2
Using elimination
10*(8x + 5y = -17/2)
8*(10x + 7y = -23/2)
80x + 50y = -85
80x + 56y = -92
Subtract equations
-6y = 7
y = 7/-6
y = -7/6
Substitute y
8x + 5(-7/6) = -17/2
8x = -8/3
x = -8/3/8
x = -1/3 |
Solve quickly: x^2 - 49/8x + 55/16 = 0 | x^2 - 49/8x + 55/16 = 0
(x - 5/8)(x - 11/2) = 0
x - 5/8 = 0 or x - 11/2 = 0
x = 5/8
x = 11/2 |
Find x in 10x - 180/7 = 0 | 10x - 180/7 = 0
10x = 180/7
x = 180/7 / 10
x = 18/7 |
Solve quickly: 2x + 11/3 = 0 | 2x + 11/3 = 0
2x = -11/3
x = -11/3 / 2
x = -11/6 |
Compute the solution of x^3 + 317/140x^2 - 979/280x - 247/40 = 0 | x^3 + 317/140x^2 - 979/280x - 247/40 = 0
(x - -13/10)(x - -19/7)(x - 7/4) = 0
x - -13/10 = 0
x - -19/7 = 0
x - 7/4 = 0
x = -13/10
x = -19/7
x = 7/4 |
Determine x in x^2 - 34/7x + 39/7 = 0 | x^2 - 34/7x + 39/7 = 0
(x - 3)(x - 13/7) = 0
x - 3 = 0 or x - 13/7 = 0
x = 3
x = 13/7 |
Solve the equation x^3 + 25/6x^2 - 7/6x - 11 = 0 | x^3 + 25/6x^2 - 7/6x - 11 = 0
(x - -11/3)(x - -2)(x - 3/2) = 0
x - -11/3 = 0
x - -2 = 0
x - 3/2 = 0
x = -11/3
x = -2
x = 3/2 |
Determine x in x^2 + 85/21x + 50/21 = 0 | x^2 + 85/21x + 50/21 = 0
(x - -10/3)(x - -5/7) = 0
x - -10/3 = 0 or x - -5/7 = 0
x = -10/3
x = -5/7 |
Determine x in 9x - 39 = 0 | 9x - 39 = 0
9x = 39
x = 39 / 9
x = 13/3 |
Solve the equation x^3 + 97/30x^2 - 37/15x - 19/2 = 0 | x^3 + 97/30x^2 - 37/15x - 19/2 = 0
(x - 5/3)(x - -19/10)(x - -3) = 0
x - 5/3 = 0
x - -19/10 = 0
x - -3 = 0
x = 5/3
x = -19/10
x = -3 |
Solve simultaneously:
7x + 10y = -547/28
9x + 9y = -549/28 | 7x + 10y = -547/28
9x + 9y = -549/28
Using elimination
9*(7x + 10y = -547/28)
7*(9x + 9y = -549/28)
63x + 90y = -4923/28
63x + 63y = -549/4
Subtract equations
27y = -270/7
y = -270/7/27
y = -10/7
Substitute y
7x + 10(-10/7) = -547/28
7x = -21/4
x = -21/4/7
x = -3/4 |
Find x in x^2 + 16/5x = 0 | x^2 + 16/5x = 0
(x - 0)(x - -16/5) = 0
x - 0 = 0 or x - -16/5 = 0
x = 0
x = -16/5 |
Find the solution to x^2 - 6/5x - 8/5 = 0 | x^2 - 6/5x - 8/5 = 0
(x - 2)(x - -4/5) = 0
x - 2 = 0 or x - -4/5 = 0
x = 2
x = -4/5 |
Solve quickly: x^2 + 89/5x + 266/5 = 0 | x^2 + 89/5x + 266/5 = 0
(x - -19/5)(x - -14) = 0
x - -19/5 = 0 or x - -14 = 0
x = -19/5
x = -14 |
Solve the equation x^3 + 331/140x^2 - 463/140x + 51/70 = 0 | x^3 + 331/140x^2 - 463/140x + 51/70 = 0
(x - -17/5)(x - 3/4)(x - 2/7) = 0
x - -17/5 = 0
x - 3/4 = 0
x - 2/7 = 0
x = -17/5
x = 3/4
x = 2/7 |
Find x for x^3 + 31/12x^2 - 205/12x - 25 = 0 | x^3 + 31/12x^2 - 205/12x - 25 = 0
(x - -5)(x - 15/4)(x - -4/3) = 0
x - -5 = 0
x - 15/4 = 0
x - -4/3 = 0
x = -5
x = 15/4
x = -4/3 |
Find x in x^3 + 9/4x^2 - 317/8x + 51 = 0 | x^3 + 9/4x^2 - 317/8x + 51 = 0
(x - -8)(x - 17/4)(x - 3/2) = 0
x - -8 = 0
x - 17/4 = 0
x - 3/2 = 0
x = -8
x = 17/4
x = 3/2 |
Solve the equations:
3x + 4y = 41/2
10x + 8y = 157/3 | 3x + 4y = 41/2
10x + 8y = 157/3
Using elimination
10*(3x + 4y = 41/2)
3*(10x + 8y = 157/3)
30x + 40y = 205
30x + 24y = 157
Subtract equations
16y = 48
y = 48/16
y = 3
Substitute y
3x + 4(3) = 41/2
3x = 17/2
x = 17/2/3
x = 17/6 |
Find x for x^3 - 193/40x^2 + 38/5x - 39/10 = 0 | x^3 - 193/40x^2 + 38/5x - 39/10 = 0
(x - 13/8)(x - 6/5)(x - 2) = 0
x - 13/8 = 0
x - 6/5 = 0
x - 2 = 0
x = 13/8
x = 6/5
x = 2 |
Compute the solution of 9x - 171/8 = 0 | 9x - 171/8 = 0
9x = 171/8
x = 171/8 / 9
x = 19/8 |
What value of x satisfies x^3 - 49/30x^2 - 127/30x + 91/15 = 0 | x^3 - 49/30x^2 - 127/30x + 91/15 = 0
(x - -2)(x - 7/3)(x - 13/10) = 0
x - -2 = 0
x - 7/3 = 0
x - 13/10 = 0
x = -2
x = 7/3
x = 13/10 |
Compute the solution of x^2 + 21/5x - 4 = 0 | x^2 + 21/5x - 4 = 0
(x - -5)(x - 4/5) = 0
x - -5 = 0 or x - 4/5 = 0
x = -5
x = 4/5 |
Solve the equation x^2 - 47/5x - 6 = 0 | x^2 - 47/5x - 6 = 0
(x - 10)(x - -3/5) = 0
x - 10 = 0 or x - -3/5 = 0
x = 10
x = -3/5 |
What value of x satisfies x^3 - 7/5x^2 - 188/25x - 36/25 = 0 | x^3 - 7/5x^2 - 188/25x - 36/25 = 0
(x - -1/5)(x - 18/5)(x - -2) = 0
x - -1/5 = 0
x - 18/5 = 0
x - -2 = 0
x = -1/5
x = 18/5
x = -2 |
Find x and y such that
1x + 9y = -187/10
2x + 1y = 0 | 1x + 9y = -187/10
2x + 1y = 0
Using elimination
2*(1x + 9y = -187/10)
1*(2x + 1y = 0)
2x + 18y = -187/5
2x + 1y = 0
Subtract equations
17y = -187/5
y = -187/5/17
y = -11/5
Substitute y
1x + 9(-11/5) = -187/10
1x = 11/10
x = 11/10/1
x = 11/10 |
Solve the system:
6x + 9y = 199/2
5x + 3y = 295/6 | 6x + 9y = 199/2
5x + 3y = 295/6
Using elimination
5*(6x + 9y = 199/2)
6*(5x + 3y = 295/6)
30x + 45y = 995/2
30x + 18y = 295
Subtract equations
27y = 405/2
y = 405/2/27
y = 15/2
Substitute y
6x + 9(15/2) = 199/2
6x = 32
x = 32/6
x = 16/3 |
Solve simultaneously:
2x + 3y = 165/7
9x + 6y = 750/7 | 2x + 3y = 165/7
9x + 6y = 750/7
Using elimination
9*(2x + 3y = 165/7)
2*(9x + 6y = 750/7)
18x + 27y = 1485/7
18x + 12y = 1500/7
Subtract equations
15y = -15/7
y = -15/7/15
y = -1/7
Substitute y
2x + 3(-1/7) = 165/7
2x = 24
x = 24/2
x = 12 |
Solve the equation x^3 + 3/28x^2 - 149/56x + 3/8 = 0 | x^3 + 3/28x^2 - 149/56x + 3/8 = 0
(x - 3/2)(x - 1/7)(x - -7/4) = 0
x - 3/2 = 0
x - 1/7 = 0
x - -7/4 = 0
x = 3/2
x = 1/7
x = -7/4 |
Compute the solution of x^2 + 7/6x - 51/2 = 0 | x^2 + 7/6x - 51/2 = 0
(x - 9/2)(x - -17/3) = 0
x - 9/2 = 0 or x - -17/3 = 0
x = 9/2
x = -17/3 |
Solve quickly: 5x + 20/9 = 0 | 5x + 20/9 = 0
5x = -20/9
x = -20/9 / 5
x = -4/9 |
Solve the system:
9x + 9y = -180/7
4x + 9y = -115/7 | 9x + 9y = -180/7
4x + 9y = -115/7
Using elimination
4*(9x + 9y = -180/7)
9*(4x + 9y = -115/7)
36x + 36y = -720/7
36x + 81y = -1035/7
Subtract equations
-45y = 45
y = 45/-45
y = -1
Substitute y
9x + 9(-1) = -180/7
9x = -117/7
x = -117/7/9
x = -13/7 |
Solve quickly: 2x - 38/3 = 0 | 2x - 38/3 = 0
2x = 38/3
x = 38/3 / 2
x = 19/3 |
Determine x in x^3 + 5x^2 - 17x - 21 = 0 | x^3 + 5x^2 - 17x - 21 = 0
(x - -1)(x - 3)(x - -7) = 0
x - -1 = 0
x - 3 = 0
x - -7 = 0
x = -1
x = 3
x = -7 |
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