2xy^2=4x^2y^2

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Solution for 2xy^2=4x^2y^2 equation: 


Simplifying
2xy2 = 4x2y2

Solving
2xy2 = 4x2y2

Solving for variable 'x'.

Combine like terms: 4x2y2 + -4x2y2 = 0
2xy2 + -4x2y2 = 0

Factor out the Greatest Common Factor (GCF), '2xy2'.
2xy2(1 + -2x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0.5}

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