input stringlengths 13 66 | output stringlengths 30 276 |
|---|---|
Solve the system:
8x + 2y = 30
1x + 5y = 37 | 8x + 2y = 30
1x + 5y = 37
Using elimination
1*(8x + 2y = 30)
8*(1x + 5y = 37)
8x + 2y = 30
8x + 40y = 296
Subtract equations
-38y = -266
y = -266/-38
y = 7
Substitute y
8x + 2(7) = 30
8x = 16
x = 16/8
x = 2 |
Solve the equation x^3 - 79/10x^2 - 104/5x - 2 = 0 | x^3 - 79/10x^2 - 104/5x - 2 = 0
(x - -1/10)(x - -2)(x - 10) = 0
x - -1/10 = 0
x - -2 = 0
x - 10 = 0
x = -1/10
x = -2
x = 10 |
Solve quickly: x^2 + 27/10x + 17/10 = 0 | x^2 + 27/10x + 17/10 = 0
(x - -17/10)(x - -1) = 0
x - -17/10 = 0 or x - -1 = 0
x = -17/10
x = -1 |
Solve quickly: x^3 - 4x^2 - 3/4x + 45/4 = 0 | x^3 - 4x^2 - 3/4x + 45/4 = 0
(x - -3/2)(x - 5/2)(x - 3) = 0
x - -3/2 = 0
x - 5/2 = 0
x - 3 = 0
x = -3/2
x = 5/2
x = 3 |
Solve simultaneously:
3x + 3y = -11/10
1x + 5y = 5/6 | 3x + 3y = -11/10
1x + 5y = 5/6
Using elimination
1*(3x + 3y = -11/10)
3*(1x + 5y = 5/6)
3x + 3y = -11/10
3x + 15y = 5/2
Subtract equations
-12y = -18/5
y = -18/5/-12
y = 3/10
Substitute y
3x + 3(3/10) = -11/10
3x = -2
x = -2/3
x = -2/3 |
Determine x in x^2 + 64/7x + 15 = 0 | x^2 + 64/7x + 15 = 0
(x - -15/7)(x - -7) = 0
x - -15/7 = 0 or x - -7 = 0
x = -15/7
x = -7 |
Compute the solution of x^3 + 493/90x^2 + 581/90x + 98/45 = 0 | x^3 + 493/90x^2 + 581/90x + 98/45 = 0
(x - -7/10)(x - -4)(x - -7/9) = 0
x - -7/10 = 0
x - -4 = 0
x - -7/9 = 0
x = -7/10
x = -4
x = -7/9 |
Compute the solution of x^3 - 8x^2 - 121x - 112 = 0 | x^3 - 8x^2 - 121x - 112 = 0
(x - -7)(x - 16)(x - -1) = 0
x - -7 = 0
x - 16 = 0
x - -1 = 0
x = -7
x = 16
x = -1 |
Find x in x^3 - 253/12x^2 + 441/4x - 931/6 = 0 | x^3 - 253/12x^2 + 441/4x - 931/6 = 0
(x - 19/4)(x - 14)(x - 7/3) = 0
x - 19/4 = 0
x - 14 = 0
x - 7/3 = 0
x = 19/4
x = 14
x = 7/3 |
Find x and y such that
9x + 10y = 243/4
8x + 3y = 55/2 | 9x + 10y = 243/4
8x + 3y = 55/2
Using elimination
8*(9x + 10y = 243/4)
9*(8x + 3y = 55/2)
72x + 80y = 486
72x + 27y = 495/2
Subtract equations
53y = 477/2
y = 477/2/53
y = 9/2
Substitute y
9x + 10(9/2) = 243/4
9x = 63/4
x = 63/4/9
x = 7/4 |
Find x for x^2 + 17/15x - 22/3 = 0 | x^2 + 17/15x - 22/3 = 0
(x - 11/5)(x - -10/3) = 0
x - 11/5 = 0 or x - -10/3 = 0
x = 11/5
x = -10/3 |
Solve the equation x^3 + 67/9x^2 - 24x + 140/9 = 0 | x^3 + 67/9x^2 - 24x + 140/9 = 0
(x - 14/9)(x - 1)(x - -10) = 0
x - 14/9 = 0
x - 1 = 0
x - -10 = 0
x = 14/9
x = 1
x = -10 |
Find x for x^3 + 52/35x^2 - 569/175x + 6/5 = 0 | x^3 + 52/35x^2 - 569/175x + 6/5 = 0
(x - 5/7)(x - 3/5)(x - -14/5) = 0
x - 5/7 = 0
x - 3/5 = 0
x - -14/5 = 0
x = 5/7
x = 3/5
x = -14/5 |
Find the solution to x^3 - 33/10x^2 - 43/10x + 63/5 = 0 | x^3 - 33/10x^2 - 43/10x + 63/5 = 0
(x - -2)(x - 9/5)(x - 7/2) = 0
x - -2 = 0
x - 9/5 = 0
x - 7/2 = 0
x = -2
x = 9/5
x = 7/2 |
Solve the equations:
7x + 8y = -169/18
2x + 6y = -13/3 | 7x + 8y = -169/18
2x + 6y = -13/3
Using elimination
2*(7x + 8y = -169/18)
7*(2x + 6y = -13/3)
14x + 16y = -169/9
14x + 42y = -91/3
Subtract equations
-26y = 104/9
y = 104/9/-26
y = -4/9
Substitute y
7x + 8(-4/9) = -169/18
7x = -35/6
x = -35/6/7
x = -5/6 |
Find x for x^2 - 23/3x + 20/3 = 0 | x^2 - 23/3x + 20/3 = 0
(x - 1)(x - 20/3) = 0
x - 1 = 0 or x - 20/3 = 0
x = 1
x = 20/3 |
Determine x in x^3 - 35/12x^2 - 31/8x + 33/8 = 0 | x^3 - 35/12x^2 - 31/8x + 33/8 = 0
(x - -3/2)(x - 11/3)(x - 3/4) = 0
x - -3/2 = 0
x - 11/3 = 0
x - 3/4 = 0
x = -3/2
x = 11/3
x = 3/4 |
Solve simultaneously:
8x + 3y = -321/56
4x + 2y = -75/28 | 8x + 3y = -321/56
4x + 2y = -75/28
Using elimination
4*(8x + 3y = -321/56)
8*(4x + 2y = -75/28)
32x + 12y = -321/14
32x + 16y = -150/7
Subtract equations
-4y = -3/2
y = -3/2/-4
y = 3/8
Substitute y
8x + 3(3/8) = -321/56
8x = -48/7
x = -48/7/8
x = -6/7 |
Determine x in 6x - 32 = 0 | 6x - 32 = 0
6x = 32
x = 32 / 6
x = 16/3 |
Find the solution to x^2 - 41/45x - 38/15 = 0 | x^2 - 41/45x - 38/15 = 0
(x - 19/9)(x - -6/5) = 0
x - 19/9 = 0 or x - -6/5 = 0
x = 19/9
x = -6/5 |
Solve the equations:
8x + 6y = 652/9
7x + 7y = 728/9 | 8x + 6y = 652/9
7x + 7y = 728/9
Using elimination
7*(8x + 6y = 652/9)
8*(7x + 7y = 728/9)
56x + 42y = 4564/9
56x + 56y = 5824/9
Subtract equations
-14y = -140
y = -140/-14
y = 10
Substitute y
8x + 6(10) = 652/9
8x = 112/9
x = 112/9/8
x = 14/9 |
Compute the solution of x^3 - 49/36x^2 - 49/12x + 95/18 = 0 | x^3 - 49/36x^2 - 49/12x + 95/18 = 0
(x - -2)(x - 5/4)(x - 19/9) = 0
x - -2 = 0
x - 5/4 = 0
x - 19/9 = 0
x = -2
x = 5/4
x = 19/9 |
Find x for 5x - 80 = 0 | 5x - 80 = 0
5x = 80
x = 80 / 5
x = 16 |
Solve the system:
9x + 7y = 1528/9
1x + 4y = 202/9 | 9x + 7y = 1528/9
1x + 4y = 202/9
Using elimination
1*(9x + 7y = 1528/9)
9*(1x + 4y = 202/9)
9x + 7y = 1528/9
9x + 36y = 202
Subtract equations
-29y = -290/9
y = -290/9/-29
y = 10/9
Substitute y
9x + 7(10/9) = 1528/9
9x = 162
x = 162/9
x = 18 |
Find x in 10x - 26 = 0 | 10x - 26 = 0
10x = 26
x = 26 / 10
x = 13/5 |
Determine x in x^2 + 79/18x - 1/2 = 0 | x^2 + 79/18x - 1/2 = 0
(x - 1/9)(x - -9/2) = 0
x - 1/9 = 0 or x - -9/2 = 0
x = 1/9
x = -9/2 |
Find x in x^3 + 7/4x^2 - 9x = 0 | x^3 + 7/4x^2 - 9x = 0
(x - -4)(x - 9/4)(x - 0) = 0
x - -4 = 0
x - 9/4 = 0
x - 0 = 0
x = -4
x = 9/4
x = 0 |
Find the solution to x^2 - 159/70x + 34/35 = 0 | x^2 - 159/70x + 34/35 = 0
(x - 17/10)(x - 4/7) = 0
x - 17/10 = 0 or x - 4/7 = 0
x = 17/10
x = 4/7 |
Determine x in x^2 + 17/5x - 8 = 0 | x^2 + 17/5x - 8 = 0
(x - -5)(x - 8/5) = 0
x - -5 = 0 or x - 8/5 = 0
x = -5
x = 8/5 |
Solve the system:
8x + 10y = 84
10x + 2y = 84 | 8x + 10y = 84
10x + 2y = 84
Using elimination
10*(8x + 10y = 84)
8*(10x + 2y = 84)
80x + 100y = 840
80x + 16y = 672
Subtract equations
84y = 168
y = 168/84
y = 2
Substitute y
8x + 10(2) = 84
8x = 64
x = 64/8
x = 8 |
Find x for 8x + 120/7 = 0 | 8x + 120/7 = 0
8x = -120/7
x = -120/7 / 8
x = -15/7 |
Determine x in 10x - 75/2 = 0 | 10x - 75/2 = 0
10x = 75/2
x = 75/2 / 10
x = 15/4 |
Find x for 7x - 7/2 = 0 | 7x - 7/2 = 0
7x = 7/2
x = 7/2 / 7
x = 1/2 |
Find x in 4x + 56/3 = 0 | 4x + 56/3 = 0
4x = -56/3
x = -56/3 / 4
x = -14/3 |
Solve quickly: x^3 - 14/5x^2 - 1001/20x + 338/5 = 0 | x^3 - 14/5x^2 - 1001/20x + 338/5 = 0
(x - 8)(x - -13/2)(x - 13/10) = 0
x - 8 = 0
x - -13/2 = 0
x - 13/10 = 0
x = 8
x = -13/2
x = 13/10 |
Solve quickly: x^2 + 12/7x - 27/7 = 0 | x^2 + 12/7x - 27/7 = 0
(x - 9/7)(x - -3) = 0
x - 9/7 = 0 or x - -3 = 0
x = 9/7
x = -3 |
Solve the equation 5x + 95/4 = 0 | 5x + 95/4 = 0
5x = -95/4
x = -95/4 / 5
x = -19/4 |
Find x and y such that
9x + 2y = 182/5
9x + 3y = 183/5 | 9x + 2y = 182/5
9x + 3y = 183/5
Using elimination
9*(9x + 2y = 182/5)
9*(9x + 3y = 183/5)
81x + 18y = 1638/5
81x + 27y = 1647/5
Subtract equations
-9y = -9/5
y = -9/5/-9
y = 1/5
Substitute y
9x + 2(1/5) = 182/5
9x = 36
x = 36/9
x = 4 |
Find x in x^2 + 39/7x + 20/7 = 0 | x^2 + 39/7x + 20/7 = 0
(x - -4/7)(x - -5) = 0
x - -4/7 = 0 or x - -5 = 0
x = -4/7
x = -5 |
What value of x satisfies x^2 + 2/5x - 24/25 = 0 | x^2 + 2/5x - 24/25 = 0
(x - 4/5)(x - -6/5) = 0
x - 4/5 = 0 or x - -6/5 = 0
x = 4/5
x = -6/5 |
Solve the equations:
8x + 9y = 76/15
6x + 10y = 9 | 8x + 9y = 76/15
6x + 10y = 9
Using elimination
6*(8x + 9y = 76/15)
8*(6x + 10y = 9)
48x + 54y = 152/5
48x + 80y = 72
Subtract equations
-26y = -208/5
y = -208/5/-26
y = 8/5
Substitute y
8x + 9(8/5) = 76/15
8x = -28/3
x = -28/3/8
x = -7/6 |
Solve the equation x^3 - 8/9x^2 - 19/3x = 0 | x^3 - 8/9x^2 - 19/3x = 0
(x - -19/9)(x - 3)(x - 0) = 0
x - -19/9 = 0
x - 3 = 0
x - 0 = 0
x = -19/9
x = 3
x = 0 |
Solve simultaneously:
3x + 3y = -279/14
10x + 1y = -330/7 | 3x + 3y = -279/14
10x + 1y = -330/7
Using elimination
10*(3x + 3y = -279/14)
3*(10x + 1y = -330/7)
30x + 30y = -1395/7
30x + 3y = -990/7
Subtract equations
27y = -405/7
y = -405/7/27
y = -15/7
Substitute y
3x + 3(-15/7) = -279/14
3x = -27/2
x = -27/2/3
x = -9/2 |
Solve quickly: x^3 - 139/28x^2 - 89/28x + 15 = 0 | x^3 - 139/28x^2 - 89/28x + 15 = 0
(x - -7/4)(x - 5)(x - 12/7) = 0
x - -7/4 = 0
x - 5 = 0
x - 12/7 = 0
x = -7/4
x = 5
x = 12/7 |
Solve the equation x^3 + 4/5x^2 - 147/25x + 54/25 = 0 | x^3 + 4/5x^2 - 147/25x + 54/25 = 0
(x - -3)(x - 2/5)(x - 9/5) = 0
x - -3 = 0
x - 2/5 = 0
x - 9/5 = 0
x = -3
x = 2/5
x = 9/5 |
Find x and y such that
5x + 2y = 49/18
4x + 9y = -22/5 | 5x + 2y = 49/18
4x + 9y = -22/5
Using elimination
4*(5x + 2y = 49/18)
5*(4x + 9y = -22/5)
20x + 8y = 98/9
20x + 45y = -22
Subtract equations
-37y = 296/9
y = 296/9/-37
y = -8/9
Substitute y
5x + 2(-8/9) = 49/18
5x = 9/2
x = 9/2/5
x = 9/10 |
What value of x satisfies x^2 - 14/3x + 8/3 = 0 | x^2 - 14/3x + 8/3 = 0
(x - 4)(x - 2/3) = 0
x - 4 = 0 or x - 2/3 = 0
x = 4
x = 2/3 |
Solve quickly: x^3 - 76/21x^2 + 76/21x - 16/21 = 0 | x^3 - 76/21x^2 + 76/21x - 16/21 = 0
(x - 2)(x - 4/3)(x - 2/7) = 0
x - 2 = 0
x - 4/3 = 0
x - 2/7 = 0
x = 2
x = 4/3
x = 2/7 |
Compute the solution of x^2 - 14/9x + 16/27 = 0 | x^2 - 14/9x + 16/27 = 0
(x - 8/9)(x - 2/3) = 0
x - 8/9 = 0 or x - 2/3 = 0
x = 8/9
x = 2/3 |
Compute the solution of x^3 - 365/36x^2 + 431/72x + 19/24 = 0 | x^3 - 365/36x^2 + 431/72x + 19/24 = 0
(x - 19/2)(x - -1/9)(x - 3/4) = 0
x - 19/2 = 0
x - -1/9 = 0
x - 3/4 = 0
x = 19/2
x = -1/9
x = 3/4 |
What value of x satisfies x^3 + 20/9x^2 - 37/3x + 70/9 = 0 | x^3 + 20/9x^2 - 37/3x + 70/9 = 0
(x - -5)(x - 2)(x - 7/9) = 0
x - -5 = 0
x - 2 = 0
x - 7/9 = 0
x = -5
x = 2
x = 7/9 |
Find x for 10x + 25 = 0 | 10x + 25 = 0
10x = -25
x = -25 / 10
x = -5/2 |
Solve the equations:
9x + 6y = 339/20
9x + 3y = 327/20 | 9x + 6y = 339/20
9x + 3y = 327/20
Using elimination
9*(9x + 6y = 339/20)
9*(9x + 3y = 327/20)
81x + 54y = 3051/20
81x + 27y = 2943/20
Subtract equations
27y = 27/5
y = 27/5/27
y = 1/5
Substitute y
9x + 6(1/5) = 339/20
9x = 63/4
x = 63/4/9
x = 7/4 |
Find x for x^3 - 51/7x^2 + 108/7x - 64/7 = 0 | x^3 - 51/7x^2 + 108/7x - 64/7 = 0
(x - 4)(x - 1)(x - 16/7) = 0
x - 4 = 0
x - 1 = 0
x - 16/7 = 0
x = 4
x = 1
x = 16/7 |
Solve quickly: 2x + 2 = 0 | 2x + 2 = 0
2x = -2
x = -2 / 2
x = -1 |
Solve the equation x^2 + 247/30x + 361/30 = 0 | x^2 + 247/30x + 361/30 = 0
(x - -19/3)(x - -19/10) = 0
x - -19/3 = 0 or x - -19/10 = 0
x = -19/3
x = -19/10 |
Solve x^2 + 44/45x - 64/45 = 0 | x^2 + 44/45x - 64/45 = 0
(x - -16/9)(x - 4/5) = 0
x - -16/9 = 0 or x - 4/5 = 0
x = -16/9
x = 4/5 |
Solve the equations:
5x + 10y = -245/4
6x + 8y = -66 | 5x + 10y = -245/4
6x + 8y = -66
Using elimination
6*(5x + 10y = -245/4)
5*(6x + 8y = -66)
30x + 60y = -735/2
30x + 40y = -330
Subtract equations
20y = -75/2
y = -75/2/20
y = -15/8
Substitute y
5x + 10(-15/8) = -245/4
5x = -85/2
x = -85/2/5
x = -17/2 |
Find x and y such that
8x + 2y = -82/5
3x + 8y = -96/5 | 8x + 2y = -82/5
3x + 8y = -96/5
Using elimination
3*(8x + 2y = -82/5)
8*(3x + 8y = -96/5)
24x + 6y = -246/5
24x + 64y = -768/5
Subtract equations
-58y = 522/5
y = 522/5/-58
y = -9/5
Substitute y
8x + 2(-9/5) = -82/5
8x = -64/5
x = -64/5/8
x = -8/5 |
Find x for 5x - 25/6 = 0 | 5x - 25/6 = 0
5x = 25/6
x = 25/6 / 5
x = 5/6 |
Find the solution to 1x + 5 = 0 | 1x + 5 = 0
1x = -5
x = -5 / 1
x = -5 |
Solve x^2 + 53/6x + 55/3 = 0 | x^2 + 53/6x + 55/3 = 0
(x - -11/2)(x - -10/3) = 0
x - -11/2 = 0 or x - -10/3 = 0
x = -11/2
x = -10/3 |
Find x for 6x + 8/3 = 0 | 6x + 8/3 = 0
6x = -8/3
x = -8/3 / 6
x = -4/9 |
What value of x satisfies 2x + 36/7 = 0 | 2x + 36/7 = 0
2x = -36/7
x = -36/7 / 2
x = -18/7 |
Find x and y such that
9x + 5y = 138/7
5x + 7y = 102/7 | 9x + 5y = 138/7
5x + 7y = 102/7
Using elimination
5*(9x + 5y = 138/7)
9*(5x + 7y = 102/7)
45x + 25y = 690/7
45x + 63y = 918/7
Subtract equations
-38y = -228/7
y = -228/7/-38
y = 6/7
Substitute y
9x + 5(6/7) = 138/7
9x = 108/7
x = 108/7/9
x = 12/7 |
Find x for 1x + 8/5 = 0 | 1x + 8/5 = 0
1x = -8/5
x = -8/5 / 1
x = -8/5 |
Solve the system:
3x + 1y = 5/4
6x + 4y = -1 | 3x + 1y = 5/4
6x + 4y = -1
Using elimination
6*(3x + 1y = 5/4)
3*(6x + 4y = -1)
18x + 6y = 15/2
18x + 12y = -3
Subtract equations
-6y = 21/2
y = 21/2/-6
y = -7/4
Substitute y
3x + 1(-7/4) = 5/4
3x = 3
x = 3/3
x = 1 |
Solve the system:
10x + 5y = -27
7x + 1y = -77/5 | 10x + 5y = -27
7x + 1y = -77/5
Using elimination
7*(10x + 5y = -27)
10*(7x + 1y = -77/5)
70x + 35y = -189
70x + 10y = -154
Subtract equations
25y = -35
y = -35/25
y = -7/5
Substitute y
10x + 5(-7/5) = -27
10x = -20
x = -20/10
x = -2 |
Determine x in 1x - 5 = 0 | 1x - 5 = 0
1x = 5
x = 5 / 1
x = 5 |
Solve quickly: x^2 - 11/2x - 38 = 0 | x^2 - 11/2x - 38 = 0
(x - -4)(x - 19/2) = 0
x - -4 = 0 or x - 19/2 = 0
x = -4
x = 19/2 |
Find x for x^3 + 341/90x^2 + 34/9x + 16/15 = 0 | x^3 + 341/90x^2 + 34/9x + 16/15 = 0
(x - -8/9)(x - -12/5)(x - -1/2) = 0
x - -8/9 = 0
x - -12/5 = 0
x - -1/2 = 0
x = -8/9
x = -12/5
x = -1/2 |
Solve the equation x^3 + 93/70x^2 - 313/70x - 153/35 = 0 | x^3 + 93/70x^2 - 313/70x - 153/35 = 0
(x - -9/10)(x - 2)(x - -17/7) = 0
x - -9/10 = 0
x - 2 = 0
x - -17/7 = 0
x = -9/10
x = 2
x = -17/7 |
Solve the equations:
9x + 10y = -1493/24
1x + 9y = -455/8 | 9x + 10y = -1493/24
1x + 9y = -455/8
Using elimination
1*(9x + 10y = -1493/24)
9*(1x + 9y = -455/8)
9x + 10y = -1493/24
9x + 81y = -4095/8
Subtract equations
-71y = 1349/3
y = 1349/3/-71
y = -19/3
Substitute y
9x + 10(-19/3) = -1493/24
9x = 9/8
x = 9/8/9
x = 1/8 |
Find x in x^3 - 1/5x^2 - 13/20x - 3/20 = 0 | x^3 - 1/5x^2 - 13/20x - 3/20 = 0
(x - -3/10)(x - -1/2)(x - 1) = 0
x - -3/10 = 0
x - -1/2 = 0
x - 1 = 0
x = -3/10
x = -1/2
x = 1 |
Determine x in x^3 - 9/8x^2 - 695/32x + 1425/32 = 0 | x^3 - 9/8x^2 - 695/32x + 1425/32 = 0
(x - -5)(x - 15/4)(x - 19/8) = 0
x - -5 = 0
x - 15/4 = 0
x - 19/8 = 0
x = -5
x = 15/4
x = 19/8 |
Determine x in x^2 - 19/4x + 15/4 = 0 | x^2 - 19/4x + 15/4 = 0
(x - 1)(x - 15/4) = 0
x - 1 = 0 or x - 15/4 = 0
x = 1
x = 15/4 |
Solve quickly: x^2 - 11/2x - 38 = 0 | x^2 - 11/2x - 38 = 0
(x - -4)(x - 19/2) = 0
x - -4 = 0 or x - 19/2 = 0
x = -4
x = 19/2 |
Solve quickly: x^2 + 7/10x - 6/5 = 0 | x^2 + 7/10x - 6/5 = 0
(x - 4/5)(x - -3/2) = 0
x - 4/5 = 0 or x - -3/2 = 0
x = 4/5
x = -3/2 |
Find the solution to x^2 + 14/3x - 17/3 = 0 | x^2 + 14/3x - 17/3 = 0
(x - -17/3)(x - 1) = 0
x - -17/3 = 0 or x - 1 = 0
x = -17/3
x = 1 |
Solve the equations:
8x + 10y = 13
4x + 6y = 19/2 | 8x + 10y = 13
4x + 6y = 19/2
Using elimination
4*(8x + 10y = 13)
8*(4x + 6y = 19/2)
32x + 40y = 52
32x + 48y = 76
Subtract equations
-8y = -24
y = -24/-8
y = 3
Substitute y
8x + 10(3) = 13
8x = -17
x = -17/8
x = -17/8 |
Find x for x^2 + 4x - 12 = 0 | x^2 + 4x - 12 = 0
(x - -6)(x - 2) = 0
x - -6 = 0 or x - 2 = 0
x = -6
x = 2 |
Determine x in x^2 + 21x + 20 = 0 | x^2 + 21x + 20 = 0
(x - -1)(x - -20) = 0
x - -1 = 0 or x - -20 = 0
x = -1
x = -20 |
Find x for x^3 + 8/3x^2 = 0 | x^3 + 8/3x^2 = 0
(x - 0)(x - -8/3)(x - 0) = 0
x - 0 = 0
x - -8/3 = 0
x - 0 = 0
x = 0
x = -8/3
x = 0 |
Solve the equation x^2 - 18x + 17 = 0 | x^2 - 18x + 17 = 0
(x - 17)(x - 1) = 0
x - 17 = 0 or x - 1 = 0
x = 17
x = 1 |
Find x in x^3 + 37/15x^2 + 2x + 8/15 = 0 | x^3 + 37/15x^2 + 2x + 8/15 = 0
(x - -1)(x - -2/3)(x - -4/5) = 0
x - -1 = 0
x - -2/3 = 0
x - -4/5 = 0
x = -1
x = -2/3
x = -4/5 |
Find the solution to x^2 - 73/30x + 11/10 = 0 | x^2 - 73/30x + 11/10 = 0
(x - 3/5)(x - 11/6) = 0
x - 3/5 = 0 or x - 11/6 = 0
x = 3/5
x = 11/6 |
Determine x in x^2 - 86/9x - 143/9 = 0 | x^2 - 86/9x - 143/9 = 0
(x - -13/9)(x - 11) = 0
x - -13/9 = 0 or x - 11 = 0
x = -13/9
x = 11 |
Solve the equations:
5x + 7y = -689/30
6x + 9y = -281/10 | 5x + 7y = -689/30
6x + 9y = -281/10
Using elimination
6*(5x + 7y = -689/30)
5*(6x + 9y = -281/10)
30x + 42y = -689/5
30x + 45y = -281/2
Subtract equations
-3y = 27/10
y = 27/10/-3
y = -9/10
Substitute y
5x + 7(-9/10) = -689/30
5x = -50/3
x = -50/3/5
x = -10/3 |
Solve x^2 + 9/4x - 9/4 = 0 | x^2 + 9/4x - 9/4 = 0
(x - -3)(x - 3/4) = 0
x - -3 = 0 or x - 3/4 = 0
x = -3
x = 3/4 |
Solve quickly: x^2 - 41/3x - 14/3 = 0 | x^2 - 41/3x - 14/3 = 0
(x - -1/3)(x - 14) = 0
x - -1/3 = 0 or x - 14 = 0
x = -1/3
x = 14 |
Solve the system:
9x + 4y = -476/15
2x + 3y = -81/5 | 9x + 4y = -476/15
2x + 3y = -81/5
Using elimination
2*(9x + 4y = -476/15)
9*(2x + 3y = -81/5)
18x + 8y = -952/15
18x + 27y = -729/5
Subtract equations
-19y = 247/3
y = 247/3/-19
y = -13/3
Substitute y
9x + 4(-13/3) = -476/15
9x = -72/5
x = -72/5/9
x = -8/5 |
Solve simultaneously:
7x + 4y = 593/10
6x + 7y = 222/5 | 7x + 4y = 593/10
6x + 7y = 222/5
Using elimination
6*(7x + 4y = 593/10)
7*(6x + 7y = 222/5)
42x + 24y = 1779/5
42x + 49y = 1554/5
Subtract equations
-25y = 45
y = 45/-25
y = -9/5
Substitute y
7x + 4(-9/5) = 593/10
7x = 133/2
x = 133/2/7
x = 19/2 |
Find the solution to 7x - 21/2 = 0 | 7x - 21/2 = 0
7x = 21/2
x = 21/2 / 7
x = 3/2 |
Solve x^2 - 59/18x - 7/9 = 0 | x^2 - 59/18x - 7/9 = 0
(x - -2/9)(x - 7/2) = 0
x - -2/9 = 0 or x - 7/2 = 0
x = -2/9
x = 7/2 |
Compute the solution of x^3 - 8x^2 - 309/4x - 189/2 = 0 | x^3 - 8x^2 - 309/4x - 189/2 = 0
(x - -3/2)(x - -9/2)(x - 14) = 0
x - -3/2 = 0
x - -9/2 = 0
x - 14 = 0
x = -3/2
x = -9/2
x = 14 |
Solve the equation x^3 - 373/36x^2 + 233/12x - 38/9 = 0 | x^3 - 373/36x^2 + 233/12x - 38/9 = 0
(x - 8)(x - 19/9)(x - 1/4) = 0
x - 8 = 0
x - 19/9 = 0
x - 1/4 = 0
x = 8
x = 19/9
x = 1/4 |
Find x in x^2 + 67/6x + 76/3 = 0 | x^2 + 67/6x + 76/3 = 0
(x - -8)(x - -19/6) = 0
x - -8 = 0 or x - -19/6 = 0
x = -8
x = -19/6 |
Solve the equation 1x - 20/3 = 0 | 1x - 20/3 = 0
1x = 20/3
x = 20/3 / 1
x = 20/3 |
Determine x in x^3 + 4x^2 + 9/4x - 9/4 = 0 | x^3 + 4x^2 + 9/4x - 9/4 = 0
(x - -3/2)(x - -3)(x - 1/2) = 0
x - -3/2 = 0
x - -3 = 0
x - 1/2 = 0
x = -3/2
x = -3
x = 1/2 |
Find x and y such that
5x + 9y = 73
7x + 8y = 281/5 | 5x + 9y = 73
7x + 8y = 281/5
Using elimination
7*(5x + 9y = 73)
5*(7x + 8y = 281/5)
35x + 63y = 511
35x + 40y = 281
Subtract equations
23y = 230
y = 230/23
y = 10
Substitute y
5x + 9(10) = 73
5x = -17
x = -17/5
x = -17/5 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.