2xy(x-2y^2)=0

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


Simplifying
2xy(x + -2y2) = 0
(x * 2xy + -2y2 * 2xy) = 0

Reorder the terms:
(-4xy3 + 2x2y) = 0
(-4xy3 + 2x2y) = 0

Solving
-4xy3 + 2x2y = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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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