4mn+4m^2n-12mn^2=

Solution for 4mn+4m^2n-12mn^2= equation:

Simplifying
4mn + 4m2n + -12mn2 = 0

Reorder the terms:
4mn + -12mn2 + 4m2n = 0

Solving
4mn + -12mn2 + 4m2n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4mn'.
4mn(1 + -3n + m) = 0

Ignore the factor 4.
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 + -3n + m)' equal to zero and attempt to solve:

Simplifying
1 + -3n + m = 0

Reorder the terms:
1 + m + -3n = 0

Solving
1 + m + -3n = 0

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

Add '-1' to each side of the equation.
1 + m + -1 + -3n = 0 + -1

Reorder the terms:
1 + -1 + m + -3n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + -3n = 0 + -1
m + -3n = 0 + -1

Combine like terms: 0 + -1 = -1
m + -3n = -1

Add '3n' to each side of the equation.
m + -3n + 3n = -1 + 3n

Combine like terms: -3n + 3n = 0
m + 0 = -1 + 3n
m = -1 + 3n

Simplifying
m = -1 + 3n
Solution
m = {-1 + 3n}