(8x^2y^2-4xy)=0

Solution for (8x^2y^2-4xy)=0 equation:

Simplifying
(8x2y2 + -4xy) = 0

Reorder the terms:
(-4xy + 8x2y2) = 0

Remove parenthesis around (-4xy + 8x2y2)
-4xy + 8x2y2 = 0

Solving
-4xy + 8x2y2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.
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 '(-1 + 2xy)' equal to zero and attempt to solve:

Simplifying
-1 + 2xy = 0

Solving
-1 + 2xy = 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 + 2xy = 0 + 1

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

Combine like terms: 0 + 1 = 1
2xy = 1

Divide each side by '2y'.
x = 0.5y-1

Simplifying
x = 0.5y-1
Solution
x = {0.5y-1}