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

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


Simplifying
2xy(4x3y + -2xy3) = 0

Reorder the terms:
2xy(-2xy3 + 4x3y) = 0
(-2xy3 * 2xy + 4x3y * 2xy) = 0
(-4x2y4 + 8x4y2) = 0

Solving
-4x2y4 + 8x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y2'.
4x2y2(-1y2 + 2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(-1y2 + 2x2)' equal to zero and attempt to solve:

Simplifying
-1y2 + 2x2 = 0

Reorder the terms:
2x2 + -1y2 = 0

Solving
2x2 + -1y2 = 0

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

Add 'y2' to each side of the equation.
2x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
2x2 + 0 = 0 + y2
2x2 = 0 + y2
Remove the zero:
2x2 = y2

Divide each side by '2'.
x2 = 0.5y2

Simplifying
x2 = 0.5y2

Take the square root of each side:
x = {-0.707106781y, 0.707106781y}
Solution
x = {-0.707106781y, 0.707106781y}

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