x^2y-2xy^3=0

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


Simplifying
x2y + -2xy3 = 0

Reorder the terms:
-2xy3 + x2y = 0

Solving
-2xy3 + x2y = 0

Solving for variable 'x'.

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


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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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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