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

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


Simplifying
(x2y2)(2x + -1xy + 2y) = x
(2x * x2y2 + -1xy * x2y2 + 2y * x2y2) = x

Reorder the terms:
(2x2y3 + 2x3y2 + -1x3y3) = x
(2x2y3 + 2x3y2 + -1x3y3) = x

Solving
2x2y3 + 2x3y2 + -1x3y3 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 2x2y3 + 2x3y2 + -1x3y3 = x + -1x

Combine like terms: x + -1x = 0
-1x + 2x2y3 + 2x3y2 + -1x3y3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 2xy3 + 2x2y2 + -1x2y3) = 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 '(-1 + 2xy3 + 2x2y2 + -1x2y3)' equal to zero and attempt to solve:

Simplifying
-1 + 2xy3 + 2x2y2 + -1x2y3 = 0

Solving
-1 + 2xy3 + 2x2y2 + -1x2y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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