4m^2n^2-2mn=0

Solution for 4m^2n^2-2mn=0 equation:

Simplifying
4m2n2 + -2mn = 0

Reorder the terms:
-2mn + 4m2n2 = 0

Solving
-2mn + 4m2n2 = 0

Solving for variable 'm'.

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

Ignore the factor 2.
Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 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 + 2mn)' equal to zero and attempt to solve:

Simplifying
-1 + 2mn = 0

Solving
-1 + 2mn = 0

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

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

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

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

Divide each side by '2n'.
m = 0.5n-1

Simplifying
m = 0.5n-1
Solution
m = {0.5n-1}