(x^2+x^4)(x^2-y^4)=0

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Solution for (x^2+x^4)(x^2-y^4)=0 equation: 


Simplifying
(x2 + x4)(x2 + -1y4) = 0

Multiply (x2 + x4) * (x2 + -1y4)
(x2(x2 + -1y4) + x4(x2 + -1y4)) = 0
((x2 * x2 + -1y4 * x2) + x4(x2 + -1y4)) = 0

Reorder the terms:
((-1x2y4 + x4) + x4(x2 + -1y4)) = 0
((-1x2y4 + x4) + x4(x2 + -1y4)) = 0
(-1x2y4 + x4 + (x2 * x4 + -1y4 * x4)) = 0

Reorder the terms:
(-1x2y4 + x4 + (-1x4y4 + x6)) = 0
(-1x2y4 + x4 + (-1x4y4 + x6)) = 0
(-1x2y4 + x4 + -1x4y4 + x6) = 0

Solving
-1x2y4 + x4 + -1x4y4 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1y4 + x2 + -1x2y4 + x4) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1y4 + x2 + -1x2y4 + x4)' equal to zero and attempt to solve:

Simplifying
-1y4 + x2 + -1x2y4 + x4 = 0

Reorder the terms:
x2 + -1x2y4 + x4 + -1y4 = 0

Solving
x2 + -1x2y4 + x4 + -1y4 = 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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