4x^4-4x^2+8x^3y-8xy=0

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Solution for 4x^4-4x^2+8x^3y-8xy=0 equation: 


Simplifying
4x4 + -4x2 + 8x3y + -8xy = 0

Reorder the terms:
-8xy + -4x2 + 8x3y + 4x4 = 0

Solving
-8xy + -4x2 + 8x3y + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2y + -1x + 2x2y + x3) = 0

Ignore the factor 4.

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 '(-2y + -1x + 2x2y + x3)' equal to zero and attempt to solve:

Simplifying
-2y + -1x + 2x2y + x3 = 0

Reorder the terms:
-1x + 2x2y + x3 + -2y = 0

Solving
-1x + 2x2y + x3 + -2y = 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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