5x^2y(2x^2y^2-4xy^3)=0

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Solution for 5x^2y(2x^2y^2-4xy^3)=0 equation: 


Simplifying
5x2y(2x2y2 + -4xy3) = 0

Reorder the terms:
5x2y(-4xy3 + 2x2y2) = 0
(-4xy3 * 5x2y + 2x2y2 * 5x2y) = 0
(-20x3y4 + 10x4y3) = 0

Solving
-20x3y4 + 10x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x3y3'.
10x3y3(-2y + x) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x3y3' equal to zero and attempt to solve:

Simplifying
x3y3 = 0

Solving
x3y3 = 0

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

Simplifying
x3y3 = 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 + x)' equal to zero and attempt to solve:

Simplifying
-2y + x = 0

Reorder the terms:
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y
Solution
x = {2y}

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