4mn^2-4m^2n^2+m^3n^2=0

Solution for 4mn^2-4m^2n^2+m^3n^2=0 equation:

Simplifying
4mn2 + -4m2n2 + m3n2 = 0

Solving
4mn2 + -4m2n2 + m3n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn2'.
mn2(4 + -4m + m2) = 0

Factor a trinomial.
mn2((2 + -1m)(2 + -1m)) = 0

Subproblem 1
Set the factor 'mn2' equal to zero and attempt to solve:

Simplifying
mn2 = 0

Solving
mn2 = 0

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

Simplifying
mn2 = 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 '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

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

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

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

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

Simplifying
m = 2
Subproblem 3
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

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

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

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

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

Simplifying
m = 2
Solution
m = {2, 2}