m^3n-8m^2n^2+12mn^3=

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Solution for m^3n-8m^2n^2+12mn^3= equation: 


Simplifying
m3n + -8m2n2 + 12mn3 = 0

Reorder the terms:
12mn3 + -8m2n2 + m3n = 0

Solving
12mn3 + -8m2n2 + m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(12n2 + -8mn + m2) = 0

Factor a trinomial.
mn((2n + -1m)(6n + -1m)) = 0


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 '(2n + -1m)' equal to zero and attempt to solve:

Simplifying
2n + -1m = 0

Reorder the terms:
-1m + 2n = 0

Solving
-1m + 2n = 0

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

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

Combine like terms: 2n + -2n = 0
-1m + 0 = 0 + -2n
-1m = 0 + -2n
Remove the zero:
-1m = -2n

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

Simplifying
m = 2n

Subproblem 3
Set the factor '(6n + -1m)' equal to zero and attempt to solve:

Simplifying
6n + -1m = 0

Reorder the terms:
-1m + 6n = 0

Solving
-1m + 6n = 0

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

Add '-6n' to each side of the equation.
-1m + 6n + -6n = 0 + -6n

Combine like terms: 6n + -6n = 0
-1m + 0 = 0 + -6n
-1m = 0 + -6n
Remove the zero:
-1m = -6n

Divide each side by '-1'.
m = 6n

Simplifying
m = 6n
Solution
m = {2n, 6n}

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