xy(y+x)=x(y^2-7)-x

Simple and best practice solution for xy(y+x)=x(y^2-7)-x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for xy(y+x)=x(y^2-7)-x equation: 


Simplifying
xy(y + x) = x(y2 + -7) + -1x

Reorder the terms:
xy(x + y) = x(y2 + -7) + -1x
(x * xy + y * xy) = x(y2 + -7) + -1x

Reorder the terms:
(xy2 + x2y) = x(y2 + -7) + -1x
(xy2 + x2y) = x(y2 + -7) + -1x

Reorder the terms:
xy2 + x2y = x(-7 + y2) + -1x
xy2 + x2y = (-7 * x + y2 * x) + -1x
xy2 + x2y = (-7x + xy2) + -1x

Reorder the terms:
xy2 + x2y = -7x + -1x + xy2

Combine like terms: -7x + -1x = -8x
xy2 + x2y = -8x + xy2

Add '-1xy2' to each side of the equation.
xy2 + -1xy2 + x2y = -8x + xy2 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + x2y = -8x + xy2 + -1xy2
x2y = -8x + xy2 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
x2y = -8x + 0
x2y = -8x

Solving
x2y = -8x

Solving for variable 'x'.

Reorder the terms:
8x + x2y = -8x + 8x

Combine like terms: -8x + 8x = 0
8x + x2y = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + xy) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + xy)' equal to zero and attempt to solve:

Simplifying
8 + xy = 0

Solving
8 + xy = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + xy = 0 + -8

Combine like terms: 8 + -8 = 0
0 + xy = 0 + -8
xy = 0 + -8

Combine like terms: 0 + -8 = -8
xy = -8

Divide each side by 'y'.
x = -8y-1

Simplifying
x = -8y-1
Solution
x = {0, -8y-1}

See similar equations:

| 7x=4x-27 | | g-3g=14-4g | | x/0.6=93 | | y-10=3(x-9) | | 7/10=c/50 | | 9w+6w^3=0 | | 17/y=102/222 | | 12x-6x+5x+4x=10x+7 | | -7x+3x+17=37 | | 26/21=r/63 | | 3/5=27/p | | H/12=70/120 | | 4/3=f/45 | | 3x-14+2x-16=25 | | x-5.6=16 | | 3x+2x-x=36 | | 6/5=42/a | | 13(y-39)+16.51=y-11(2) | | M/2=75/50 | | 80/100=b/5 | | 24x^4-4x^3-9x^2-7x-2=0 | | X-1.94=2.06 | | 2/x=16/40 | | 200/1=n/3 | | 5x^2=-8-3 | | 17r+4r=-7(7r-8) | | (4x+13)=(6x+2) | | 24/96=n/28 | | 3(2x+7)+9=7(4x+6) | | 5/32=n/800 | | 12/4=21/n | | 12/4=21 |

Equations solver categories