x^2(x^2-y^2)-(2x-1)(x^2y^2)=

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Solution for x^2(x^2-y^2)-(2x-1)(x^2y^2)= equation: 


Simplifying
x2(x2 + -1y2) + -1(2x + -1)(x2y2) = 0
(x2 * x2 + -1y2 * x2) + -1(2x + -1)(x2y2) = 0

Reorder the terms:
(-1x2y2 + x4) + -1(2x + -1)(x2y2) = 0
(-1x2y2 + x4) + -1(2x + -1)(x2y2) = 0

Reorder the terms:
-1x2y2 + x4 + -1(-1 + 2x)(x2y2) = 0

Reorder the terms for easier multiplication:
-1x2y2 + x4 + -1x2y2(-1 + 2x) = 0
-1x2y2 + x4 + (-1 * -1x2y2 + 2x * -1x2y2) = 0
-1x2y2 + x4 + (1x2y2 + -2x3y2) = 0

Reorder the terms:
-1x2y2 + 1x2y2 + -2x3y2 + x4 = 0

Combine like terms: -1x2y2 + 1x2y2 = 0
0 + -2x3y2 + x4 = 0
-2x3y2 + x4 = 0

Solving
-2x3y2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-2y2 + x) = 0


Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2y2 + x)' equal to zero and attempt to solve:

Simplifying
-2y2 + x = 0

Reorder the terms:
x + -2y2 = 0

Solving
x + -2y2 = 0

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

Add '2y2' to each side of the equation.
x + -2y2 + 2y2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
x + 0 = 0 + 2y2
x = 0 + 2y2
Remove the zero:
x = 2y2

Simplifying
x = 2y2
Solution
x = {2y2}

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