5x^4y-10x^2y^2=0

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Solution for 5x^4y-10x^2y^2=0 equation:


Simplifying
5x4y + -10x2y2 = 0

Reorder the terms:
-10x2y2 + 5x4y = 0

Solving
-10x2y2 + 5x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2y'.
5x2y(-2y + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-2y + x2)' equal to zero and attempt to solve: Simplifying -2y + x2 = 0 Reorder the terms: x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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