input stringlengths 13 66 | output stringlengths 30 276 |
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Solve x^3 - 12/5x^2 - 273/5x + 392/5 = 0 | x^3 - 12/5x^2 - 273/5x + 392/5 = 0
(x - -7)(x - 8)(x - 7/5) = 0
x - -7 = 0
x - 8 = 0
x - 7/5 = 0
x = -7
x = 8
x = 7/5 |
Compute the solution of x^2 - 49/20x + 3/2 = 0 | x^2 - 49/20x + 3/2 = 0
(x - 5/4)(x - 6/5) = 0
x - 5/4 = 0 or x - 6/5 = 0
x = 5/4
x = 6/5 |
Find the solution to 1x - 7/5 = 0 | 1x - 7/5 = 0
1x = 7/5
x = 7/5 / 1
x = 7/5 |
Solve the equations:
3x + 1y = 11/5
3x + 8y = 256/5 | 3x + 1y = 11/5
3x + 8y = 256/5
Using elimination
3*(3x + 1y = 11/5)
3*(3x + 8y = 256/5)
9x + 3y = 33/5
9x + 24y = 768/5
Subtract equations
-21y = -147
y = -147/-21
y = 7
Substitute y
3x + 1(7) = 11/5
3x = -24/5
x = -24/5/3
x = -8/5 |
What value of x satisfies x^3 + 397/36x^2 - 157/2x + 152/9 = 0 | x^3 + 397/36x^2 - 157/2x + 152/9 = 0
(x - -16)(x - 2/9)(x - 19/4) = 0
x - -16 = 0
x - 2/9 = 0
x - 19/4 = 0
x = -16
x = 2/9
x = 19/4 |
Solve simultaneously:
8x + 10y = 68/3
3x + 1y = 14 | 8x + 10y = 68/3
3x + 1y = 14
Using elimination
3*(8x + 10y = 68/3)
8*(3x + 1y = 14)
24x + 30y = 68
24x + 8y = 112
Subtract equations
22y = -44
y = -44/22
y = -2
Substitute y
8x + 10(-2) = 68/3
8x = 128/3
x = 128/3/8
x = 16/3 |
Solve simultaneously:
5x + 1y = -6
1x + 2y = 0 | 5x + 1y = -6
1x + 2y = 0
Using elimination
1*(5x + 1y = -6)
5*(1x + 2y = 0)
5x + 1y = -6
5x + 10y = 0
Subtract equations
-9y = -6
y = -6/-9
y = 2/3
Substitute y
5x + 1(2/3) = -6
5x = -20/3
x = -20/3/5
x = -4/3 |
Find x in 1x + 2 = 0 | 1x + 2 = 0
1x = -2
x = -2 / 1
x = -2 |
Find x in x^2 + 2/5x - 57/20 = 0 | x^2 + 2/5x - 57/20 = 0
(x - 3/2)(x - -19/10) = 0
x - 3/2 = 0 or x - -19/10 = 0
x = 3/2
x = -19/10 |
Solve the equation x^3 - 17x^2 + 47x + 65 = 0 | x^3 - 17x^2 + 47x + 65 = 0
(x - 13)(x - 5)(x - -1) = 0
x - 13 = 0
x - 5 = 0
x - -1 = 0
x = 13
x = 5
x = -1 |
Find x for x^2 + 14/9x = 0 | x^2 + 14/9x = 0
(x - 0)(x - -14/9) = 0
x - 0 = 0 or x - -14/9 = 0
x = 0
x = -14/9 |
Compute the solution of x^2 - 1/30x - 26/15 = 0 | x^2 - 1/30x - 26/15 = 0
(x - 4/3)(x - -13/10) = 0
x - 4/3 = 0 or x - -13/10 = 0
x = 4/3
x = -13/10 |
Solve the system:
4x + 7y = 917/45
6x + 7y = 259/15 | 4x + 7y = 917/45
6x + 7y = 259/15
Using elimination
6*(4x + 7y = 917/45)
4*(6x + 7y = 259/15)
24x + 42y = 1834/15
24x + 28y = 1036/15
Subtract equations
14y = 266/5
y = 266/5/14
y = 19/5
Substitute y
4x + 7(19/5) = 917/45
4x = -56/9
x = -56/9/4
x = -14/9 |
Compute the solution of x^2 + 4/5x - 153/100 = 0 | x^2 + 4/5x - 153/100 = 0
(x - -17/10)(x - 9/10) = 0
x - -17/10 = 0 or x - 9/10 = 0
x = -17/10
x = 9/10 |
Find x in 2x - 4 = 0 | 2x - 4 = 0
2x = 4
x = 4 / 2
x = 2 |
Find x in 1x - 7/9 = 0 | 1x - 7/9 = 0
1x = 7/9
x = 7/9 / 1
x = 7/9 |
Find x in x^2 + 1/56x - 1/56 = 0 | x^2 + 1/56x - 1/56 = 0
(x - -1/7)(x - 1/8) = 0
x - -1/7 = 0 or x - 1/8 = 0
x = -1/7
x = 1/8 |
Solve the equations:
9x + 5y = 229/28
3x + 9y = 135/28 | 9x + 5y = 229/28
3x + 9y = 135/28
Using elimination
3*(9x + 5y = 229/28)
9*(3x + 9y = 135/28)
27x + 15y = 687/28
27x + 81y = 1215/28
Subtract equations
-66y = -132/7
y = -132/7/-66
y = 2/7
Substitute y
9x + 5(2/7) = 229/28
9x = 27/4
x = 27/4/9
x = 3/4 |
Solve the system:
4x + 7y = -58/15
8x + 10y = -28/3 | 4x + 7y = -58/15
8x + 10y = -28/3
Using elimination
8*(4x + 7y = -58/15)
4*(8x + 10y = -28/3)
32x + 56y = -464/15
32x + 40y = -112/3
Subtract equations
16y = 32/5
y = 32/5/16
y = 2/5
Substitute y
4x + 7(2/5) = -58/15
4x = -20/3
x = -20/3/4
x = -5/3 |
Solve the equations:
4x + 6y = -590/7
3x + 5y = -495/7 | 4x + 6y = -590/7
3x + 5y = -495/7
Using elimination
3*(4x + 6y = -590/7)
4*(3x + 5y = -495/7)
12x + 18y = -1770/7
12x + 20y = -1980/7
Subtract equations
-2y = 30
y = 30/-2
y = -15
Substitute y
4x + 6(-15) = -590/7
4x = 40/7
x = 40/7/4
x = 10/7 |
Find x in x^3 + 3x^2 - 295/4x - 75/2 = 0 | x^3 + 3x^2 - 295/4x - 75/2 = 0
(x - 15/2)(x - -1/2)(x - -10) = 0
x - 15/2 = 0
x - -1/2 = 0
x - -10 = 0
x = 15/2
x = -1/2
x = -10 |
Find the solution to x^2 - 49/8x - 323/16 = 0 | x^2 - 49/8x - 323/16 = 0
(x - 17/2)(x - -19/8) = 0
x - 17/2 = 0 or x - -19/8 = 0
x = 17/2
x = -19/8 |
Compute the solution of x^2 + 1/9x - 8/9 = 0 | x^2 + 1/9x - 8/9 = 0
(x - -1)(x - 8/9) = 0
x - -1 = 0 or x - 8/9 = 0
x = -1
x = 8/9 |
Solve 3x + 45 = 0 | 3x + 45 = 0
3x = -45
x = -45 / 3
x = -15 |
Solve the system:
8x + 4y = 88/63
2x + 6y = -16/21 | 8x + 4y = 88/63
2x + 6y = -16/21
Using elimination
2*(8x + 4y = 88/63)
8*(2x + 6y = -16/21)
16x + 8y = 176/63
16x + 48y = -128/21
Subtract equations
-40y = 80/9
y = 80/9/-40
y = -2/9
Substitute y
8x + 4(-2/9) = 88/63
8x = 16/7
x = 16/7/8
x = 2/7 |
Compute the solution of x^2 + 169/21x + 304/21 = 0 | x^2 + 169/21x + 304/21 = 0
(x - -16/3)(x - -19/7) = 0
x - -16/3 = 0 or x - -19/7 = 0
x = -16/3
x = -19/7 |
Determine x in x^2 - 37/5x - 72/5 = 0 | x^2 - 37/5x - 72/5 = 0
(x - -8/5)(x - 9) = 0
x - -8/5 = 0 or x - 9 = 0
x = -8/5
x = 9 |
Solve x^3 + 67/12x^2 - 1097/12x + 65 = 0 | x^3 + 67/12x^2 - 1097/12x + 65 = 0
(x - -13)(x - 3/4)(x - 20/3) = 0
x - -13 = 0
x - 3/4 = 0
x - 20/3 = 0
x = -13
x = 3/4
x = 20/3 |
Compute the solution of x^2 + 37/3x - 102 = 0 | x^2 + 37/3x - 102 = 0
(x - 17/3)(x - -18) = 0
x - 17/3 = 0 or x - -18 = 0
x = 17/3
x = -18 |
Compute the solution of 4x + 4/9 = 0 | 4x + 4/9 = 0
4x = -4/9
x = -4/9 / 4
x = -1/9 |
Find the solution to 4x + 4/5 = 0 | 4x + 4/5 = 0
4x = -4/5
x = -4/5 / 4
x = -1/5 |
Find x for 8x + 6 = 0 | 8x + 6 = 0
8x = -6
x = -6 / 8
x = -3/4 |
Determine x in x^2 + 24/5x - 128/5 = 0 | x^2 + 24/5x - 128/5 = 0
(x - 16/5)(x - -8) = 0
x - 16/5 = 0 or x - -8 = 0
x = 16/5
x = -8 |
Solve the system:
7x + 4y = -211/10
1x + 1y = -97/40 | 7x + 4y = -211/10
1x + 1y = -97/40
Using elimination
1*(7x + 4y = -211/10)
7*(1x + 1y = -97/40)
7x + 4y = -211/10
7x + 7y = -679/40
Subtract equations
-3y = -33/8
y = -33/8/-3
y = 11/8
Substitute y
7x + 4(11/8) = -211/10
7x = -133/5
x = -133/5/7
x = -19/5 |
Compute the solution of 4x + 3 = 0 | 4x + 3 = 0
4x = -3
x = -3 / 4
x = -3/4 |
Solve the system:
1x + 7y = -23
10x + 10y = -110 | 1x + 7y = -23
10x + 10y = -110
Using elimination
10*(1x + 7y = -23)
1*(10x + 10y = -110)
10x + 70y = -230
10x + 10y = -110
Subtract equations
60y = -120
y = -120/60
y = -2
Substitute y
1x + 7(-2) = -23
1x = -9
x = -9/1
x = -9 |
What value of x satisfies 9x - 42 = 0 | 9x - 42 = 0
9x = 42
x = 42 / 9
x = 14/3 |
Solve the system:
10x + 8y = -28/3
3x + 3y = -8/3 | 10x + 8y = -28/3
3x + 3y = -8/3
Using elimination
3*(10x + 8y = -28/3)
10*(3x + 3y = -8/3)
30x + 24y = -28
30x + 30y = -80/3
Subtract equations
-6y = -4/3
y = -4/3/-6
y = 2/9
Substitute y
10x + 8(2/9) = -28/3
10x = -100/9
x = -100/9/10
x = -10/9 |
Compute the solution of 6x - 84 = 0 | 6x - 84 = 0
6x = 84
x = 84 / 6
x = 14 |
Find x for x^3 + 133/12x^2 - 679/12x + 65/2 = 0 | x^3 + 133/12x^2 - 679/12x + 65/2 = 0
(x - -15)(x - 13/4)(x - 2/3) = 0
x - -15 = 0
x - 13/4 = 0
x - 2/3 = 0
x = -15
x = 13/4
x = 2/3 |
Find x in x^2 - 111/10x + 76/5 = 0 | x^2 - 111/10x + 76/5 = 0
(x - 19/2)(x - 8/5) = 0
x - 19/2 = 0 or x - 8/5 = 0
x = 19/2
x = 8/5 |
Find x in 8x - 12 = 0 | 8x - 12 = 0
8x = 12
x = 12 / 8
x = 3/2 |
Solve simultaneously:
4x + 2y = -152/3
4x + 9y = -551/3 | 4x + 2y = -152/3
4x + 9y = -551/3
Using elimination
4*(4x + 2y = -152/3)
4*(4x + 9y = -551/3)
16x + 8y = -608/3
16x + 36y = -2204/3
Subtract equations
-28y = 532
y = 532/-28
y = -19
Substitute y
4x + 2(-19) = -152/3
4x = -38/3
x = -38/3/4
x = -19/6 |
What value of x satisfies 6x + 108/5 = 0 | 6x + 108/5 = 0
6x = -108/5
x = -108/5 / 6
x = -18/5 |
Solve the equation 9x + 117 = 0 | 9x + 117 = 0
9x = -117
x = -117 / 9
x = -13 |
Solve the equation 4x = 0 | 4x = 0
4x = 0
x = 0 / 4
x = 0 |
Find x and y such that
10x + 8y = 199/3
5x + 1y = 151/6 | 10x + 8y = 199/3
5x + 1y = 151/6
Using elimination
5*(10x + 8y = 199/3)
10*(5x + 1y = 151/6)
50x + 40y = 995/3
50x + 10y = 755/3
Subtract equations
30y = 80
y = 80/30
y = 8/3
Substitute y
10x + 8(8/3) = 199/3
10x = 45
x = 45/10
x = 9/2 |
Solve simultaneously:
1x + 10y = 1/2
10x + 8y = 117/5 | 1x + 10y = 1/2
10x + 8y = 117/5
Using elimination
10*(1x + 10y = 1/2)
1*(10x + 8y = 117/5)
10x + 100y = 5
10x + 8y = 117/5
Subtract equations
92y = -92/5
y = -92/5/92
y = -1/5
Substitute y
1x + 10(-1/5) = 1/2
1x = 5/2
x = 5/2/1
x = 5/2 |
Find x for x^2 + 24x + 108 = 0 | x^2 + 24x + 108 = 0
(x - -6)(x - -18) = 0
x - -6 = 0 or x - -18 = 0
x = -6
x = -18 |
Solve x^3 + 15/8x^2 - 27/8x = 0 | x^3 + 15/8x^2 - 27/8x = 0
(x - 9/8)(x - -3)(x - 0) = 0
x - 9/8 = 0
x - -3 = 0
x - 0 = 0
x = 9/8
x = -3
x = 0 |
Solve the equations:
9x + 5y = 23
5x + 4y = 59/5 | 9x + 5y = 23
5x + 4y = 59/5
Using elimination
5*(9x + 5y = 23)
9*(5x + 4y = 59/5)
45x + 25y = 115
45x + 36y = 531/5
Subtract equations
-11y = 44/5
y = 44/5/-11
y = -4/5
Substitute y
9x + 5(-4/5) = 23
9x = 27
x = 27/9
x = 3 |
Solve the system:
5x + 3y = 17
10x + 7y = 71/2 | 5x + 3y = 17
10x + 7y = 71/2
Using elimination
10*(5x + 3y = 17)
5*(10x + 7y = 71/2)
50x + 30y = 170
50x + 35y = 355/2
Subtract equations
-5y = -15/2
y = -15/2/-5
y = 3/2
Substitute y
5x + 3(3/2) = 17
5x = 25/2
x = 25/2/5
x = 5/2 |
Solve the equation 7x + 21/8 = 0 | 7x + 21/8 = 0
7x = -21/8
x = -21/8 / 7
x = -3/8 |
What value of x satisfies x^2 + 21x + 38 = 0 | x^2 + 21x + 38 = 0
(x - -19)(x - -2) = 0
x - -19 = 0 or x - -2 = 0
x = -19
x = -2 |
What value of x satisfies x^3 - 77/72x^2 - 17/6x + 35/18 = 0 | x^3 - 77/72x^2 - 17/6x + 35/18 = 0
(x - -14/9)(x - 2)(x - 5/8) = 0
x - -14/9 = 0
x - 2 = 0
x - 5/8 = 0
x = -14/9
x = 2
x = 5/8 |
Solve the equation 4x - 64/3 = 0 | 4x - 64/3 = 0
4x = 64/3
x = 64/3 / 4
x = 16/3 |
Find x in x^2 + 6x + 8 = 0 | x^2 + 6x + 8 = 0
(x - -2)(x - -4) = 0
x - -2 = 0 or x - -4 = 0
x = -2
x = -4 |
Solve x^2 + 97/30x - 1/3 = 0 | x^2 + 97/30x - 1/3 = 0
(x - 1/10)(x - -10/3) = 0
x - 1/10 = 0 or x - -10/3 = 0
x = 1/10
x = -10/3 |
Find x and y such that
1x + 8y = 51/2
3x + 2y = -1/2 | 1x + 8y = 51/2
3x + 2y = -1/2
Using elimination
3*(1x + 8y = 51/2)
1*(3x + 2y = -1/2)
3x + 24y = 153/2
3x + 2y = -1/2
Subtract equations
22y = 77
y = 77/22
y = 7/2
Substitute y
1x + 8(7/2) = 51/2
1x = -5/2
x = -5/2/1
x = -5/2 |
Compute the solution of x^3 - 31/6x^2 - 29/2x + 35/3 = 0 | x^3 - 31/6x^2 - 29/2x + 35/3 = 0
(x - 2/3)(x - -5/2)(x - 7) = 0
x - 2/3 = 0
x - -5/2 = 0
x - 7 = 0
x = 2/3
x = -5/2
x = 7 |
Solve quickly: 1x - 5/6 = 0 | 1x - 5/6 = 0
1x = 5/6
x = 5/6 / 1
x = 5/6 |
Solve x^3 + 43/10x^2 - 11/5x - 68/5 = 0 | x^3 + 43/10x^2 - 11/5x - 68/5 = 0
(x - 17/10)(x - -4)(x - -2) = 0
x - 17/10 = 0
x - -4 = 0
x - -2 = 0
x = 17/10
x = -4
x = -2 |
Find x in x^2 + 37/10x - 99/10 = 0 | x^2 + 37/10x - 99/10 = 0
(x - -11/2)(x - 9/5) = 0
x - -11/2 = 0 or x - 9/5 = 0
x = -11/2
x = 9/5 |
Find x in x^2 - 16/5x - 9 = 0 | x^2 - 16/5x - 9 = 0
(x - -9/5)(x - 5) = 0
x - -9/5 = 0 or x - 5 = 0
x = -9/5
x = 5 |
Find x in x^3 - 25/4x^2 - 23x - 63/4 = 0 | x^3 - 25/4x^2 - 23x - 63/4 = 0
(x - 9)(x - -1)(x - -7/4) = 0
x - 9 = 0
x - -1 = 0
x - -7/4 = 0
x = 9
x = -1
x = -7/4 |
Find the solution to x^2 + 124/15x + 84/5 = 0 | x^2 + 124/15x + 84/5 = 0
(x - -14/3)(x - -18/5) = 0
x - -14/3 = 0 or x - -18/5 = 0
x = -14/3
x = -18/5 |
Solve the equation x^3 + 419/72x^2 + 797/72x + 247/36 = 0 | x^3 + 419/72x^2 + 797/72x + 247/36 = 0
(x - -13/9)(x - -2)(x - -19/8) = 0
x - -13/9 = 0
x - -2 = 0
x - -19/8 = 0
x = -13/9
x = -2
x = -19/8 |
Compute the solution of 5x + 5 = 0 | 5x + 5 = 0
5x = -5
x = -5 / 5
x = -1 |
Determine x in x^2 + 16/9x - 4/9 = 0 | x^2 + 16/9x - 4/9 = 0
(x - -2)(x - 2/9) = 0
x - -2 = 0 or x - 2/9 = 0
x = -2
x = 2/9 |
Find the solution to 7x - 28/9 = 0 | 7x - 28/9 = 0
7x = 28/9
x = 28/9 / 7
x = 4/9 |
Find x in 4x - 64/3 = 0 | 4x - 64/3 = 0
4x = 64/3
x = 64/3 / 4
x = 16/3 |
Find x and y such that
2x + 4y = -80/3
8x + 8y = -256/3 | 2x + 4y = -80/3
8x + 8y = -256/3
Using elimination
8*(2x + 4y = -80/3)
2*(8x + 8y = -256/3)
16x + 32y = -640/3
16x + 16y = -512/3
Subtract equations
16y = -128/3
y = -128/3/16
y = -8/3
Substitute y
2x + 4(-8/3) = -80/3
2x = -16
x = -16/2
x = -8 |
Solve the equation x^3 + 2/3x^2 = 0 | x^3 + 2/3x^2 = 0
(x - 0)(x - -2/3)(x - 0) = 0
x - 0 = 0
x - -2/3 = 0
x - 0 = 0
x = 0
x = -2/3
x = 0 |
Find x for 7x - 14 = 0 | 7x - 14 = 0
7x = 14
x = 14 / 7
x = 2 |
Find x and y such that
8x + 7y = -115/4
5x + 3y = -65/4 | 8x + 7y = -115/4
5x + 3y = -65/4
Using elimination
5*(8x + 7y = -115/4)
8*(5x + 3y = -65/4)
40x + 35y = -575/4
40x + 24y = -130
Subtract equations
11y = -55/4
y = -55/4/11
y = -5/4
Substitute y
8x + 7(-5/4) = -115/4
8x = -20
x = -20/8
x = -5/2 |
Determine x in x^3 + 53/6x^2 + 29/12x - 85/24 = 0 | x^3 + 53/6x^2 + 29/12x - 85/24 = 0
(x - -17/2)(x - -5/6)(x - 1/2) = 0
x - -17/2 = 0
x - -5/6 = 0
x - 1/2 = 0
x = -17/2
x = -5/6
x = 1/2 |
Solve quickly: 4x - 4/9 = 0 | 4x - 4/9 = 0
4x = 4/9
x = 4/9 / 4
x = 1/9 |
Compute the solution of 3x - 48 = 0 | 3x - 48 = 0
3x = 48
x = 48 / 3
x = 16 |
Solve the equation x^2 + 27/10x + 11/10 = 0 | x^2 + 27/10x + 11/10 = 0
(x - -1/2)(x - -11/5) = 0
x - -1/2 = 0 or x - -11/5 = 0
x = -1/2
x = -11/5 |
Solve quickly: 8x + 16 = 0 | 8x + 16 = 0
8x = -16
x = -16 / 8
x = -2 |
Solve the equation 4x + 8/9 = 0 | 4x + 8/9 = 0
4x = -8/9
x = -8/9 / 4
x = -2/9 |
Solve the equation 9x - 81/4 = 0 | 9x - 81/4 = 0
9x = 81/4
x = 81/4 / 9
x = 9/4 |
Solve quickly: x^3 + 227/56x^2 - 1627/112x + 143/16 = 0 | x^3 + 227/56x^2 - 1627/112x + 143/16 = 0
(x - -13/2)(x - 11/7)(x - 7/8) = 0
x - -13/2 = 0
x - 11/7 = 0
x - 7/8 = 0
x = -13/2
x = 11/7
x = 7/8 |
Find the solution to x^3 - 143/36x^2 + 167/36x - 5/3 = 0 | x^3 - 143/36x^2 + 167/36x - 5/3 = 0
(x - 1)(x - 20/9)(x - 3/4) = 0
x - 1 = 0
x - 20/9 = 0
x - 3/4 = 0
x = 1
x = 20/9
x = 3/4 |
Solve the equations:
1x + 10y = -163/9
2x + 7y = -131/9 | 1x + 10y = -163/9
2x + 7y = -131/9
Using elimination
2*(1x + 10y = -163/9)
1*(2x + 7y = -131/9)
2x + 20y = -326/9
2x + 7y = -131/9
Subtract equations
13y = -65/3
y = -65/3/13
y = -5/3
Substitute y
1x + 10(-5/3) = -163/9
1x = -13/9
x = -13/9/1
x = -13/9 |
What value of x satisfies x^2 - 5x + 6 = 0 | x^2 - 5x + 6 = 0
(x - 2)(x - 3) = 0
x - 2 = 0 or x - 3 = 0
x = 2
x = 3 |
Solve x^3 - 18x^2 - 19x = 0 | x^3 - 18x^2 - 19x = 0
(x - 0)(x - 19)(x - -1) = 0
x - 0 = 0
x - 19 = 0
x - -1 = 0
x = 0
x = 19
x = -1 |
Solve simultaneously:
4x + 4y = 4
8x + 10y = 34/3 | 4x + 4y = 4
8x + 10y = 34/3
Using elimination
8*(4x + 4y = 4)
4*(8x + 10y = 34/3)
32x + 32y = 32
32x + 40y = 136/3
Subtract equations
-8y = -40/3
y = -40/3/-8
y = 5/3
Substitute y
4x + 4(5/3) = 4
4x = -8/3
x = -8/3/4
x = -2/3 |
Find x and y such that
6x + 2y = -102/35
4x + 6y = 282/35 | 6x + 2y = -102/35
4x + 6y = 282/35
Using elimination
4*(6x + 2y = -102/35)
6*(4x + 6y = 282/35)
24x + 8y = -408/35
24x + 36y = 1692/35
Subtract equations
-28y = -60
y = -60/-28
y = 15/7
Substitute y
6x + 2(15/7) = -102/35
6x = -36/5
x = -36/5/6
x = -6/5 |
Solve the equations:
1x + 4y = -38/3
7x + 9y = -19 | 1x + 4y = -38/3
7x + 9y = -19
Using elimination
7*(1x + 4y = -38/3)
1*(7x + 9y = -19)
7x + 28y = -266/3
7x + 9y = -19
Subtract equations
19y = -209/3
y = -209/3/19
y = -11/3
Substitute y
1x + 4(-11/3) = -38/3
1x = 2
x = 2/1
x = 2 |
Solve x^3 - 2x^2 - 16x + 32 = 0 | x^3 - 2x^2 - 16x + 32 = 0
(x - 4)(x - 2)(x - -4) = 0
x - 4 = 0
x - 2 = 0
x - -4 = 0
x = 4
x = 2
x = -4 |
Determine x in x^3 + 217/40x^2 - 309/40x - 513/20 = 0 | x^3 + 217/40x^2 - 309/40x - 513/20 = 0
(x - 19/8)(x - -9/5)(x - -6) = 0
x - 19/8 = 0
x - -9/5 = 0
x - -6 = 0
x = 19/8
x = -9/5
x = -6 |
Compute the solution of x^3 - 9/4x^2 + 3/2x - 1/4 = 0 | x^3 - 9/4x^2 + 3/2x - 1/4 = 0
(x - 1)(x - 1/4)(x - 1) = 0
x - 1 = 0
x - 1/4 = 0
x - 1 = 0
x = 1
x = 1/4
x = 1 |
What value of x satisfies 7x - 119/10 = 0 | 7x - 119/10 = 0
7x = 119/10
x = 119/10 / 7
x = 17/10 |
Find x for x^2 - 43/30x - 4/15 = 0 | x^2 - 43/30x - 4/15 = 0
(x - -1/6)(x - 8/5) = 0
x - -1/6 = 0 or x - 8/5 = 0
x = -1/6
x = 8/5 |
Find x for x^2 + 19/5x + 12/5 = 0 | x^2 + 19/5x + 12/5 = 0
(x - -4/5)(x - -3) = 0
x - -4/5 = 0 or x - -3 = 0
x = -4/5
x = -3 |
Find x and y such that
6x + 9y = 207/5
3x + 7y = 86/5 | 6x + 9y = 207/5
3x + 7y = 86/5
Using elimination
3*(6x + 9y = 207/5)
6*(3x + 7y = 86/5)
18x + 27y = 621/5
18x + 42y = 516/5
Subtract equations
-15y = 21
y = 21/-15
y = -7/5
Substitute y
6x + 9(-7/5) = 207/5
6x = 54
x = 54/6
x = 9 |
What value of x satisfies x^3 + 121/20x^2 + 5x - 5/4 = 0 | x^3 + 121/20x^2 + 5x - 5/4 = 0
(x - -5/4)(x - 1/5)(x - -5) = 0
x - -5/4 = 0
x - 1/5 = 0
x - -5 = 0
x = -5/4
x = 1/5
x = -5 |
Find x for 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Find x for 7x + 119/9 = 0 | 7x + 119/9 = 0
7x = -119/9
x = -119/9 / 7
x = -17/9 |
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