20x^2y^2-4xy=0

Solution for 20x^2y^2-4xy=0 equation:

Simplifying
20x2y2 + -4xy = 0

Reorder the terms:
-4xy + 20x2y2 = 0

Solving
-4xy + 20x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-1 + 5xy) = 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 + 5xy)' equal to zero and attempt to solve:

Simplifying
-1 + 5xy = 0

Solving
-1 + 5xy = 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 + 5xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5xy = 0 + 1
5xy = 0 + 1

Combine like terms: 0 + 1 = 1
5xy = 1

Divide each side by '5y'.
x = 0.2y-1

Simplifying
x = 0.2y-1
Solution
x = {0.2y-1}