(x^2y^4)(x^2-y^4)=

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Solution for (x^2y^4)(x^2-y^4)= equation: 


Simplifying
(x2y4)(x2 + -1y4) = 0
(x2 * x2y4 + -1y4 * x2y4) = 0

Reorder the terms:
(-1x2y8 + x4y4) = 0
(-1x2y8 + x4y4) = 0

Solving
-1x2y8 + x4y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y4'.
x2y4(-1y4 + x2) = 0

Factor a difference between two squares.
x2y4((y2 + x)(-1y2 + x)) = 0


Subproblem 1
Set the factor 'x2y4' equal to zero and attempt to solve:

Simplifying
x2y4 = 0

Solving
x2y4 = 0

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

Simplifying
x2y4 = 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 '(y2 + x)' equal to zero and attempt to solve:

Simplifying
y2 + x = 0

Reorder the terms:
x + y2 = 0

Solving
x + y2 = 0

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

Add '-1y2' to each side of the equation.
x + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x + 0 = 0 + -1y2
x = 0 + -1y2
Remove the zero:
x = -1y2

Simplifying
x = -1y2

Subproblem 3
Set the factor '(-1y2 + x)' equal to zero and attempt to solve:

Simplifying
-1y2 + x = 0

Reorder the terms:
x + -1y2 = 0

Solving
x + -1y2 = 0

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

Add 'y2' to each side of the equation.
x + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
x + 0 = 0 + y2
x = 0 + y2
Remove the zero:
x = y2

Simplifying
x = y2
Solution
x = {-1y2, y2}

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