m^3n-12m^2n^2+32mn^3=

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Solution for m^3n-12m^2n^2+32mn^3= equation: 


Simplifying
m3n + -12m2n2 + 32mn3 = 0

Reorder the terms:
32mn3 + -12m2n2 + m3n = 0

Solving
32mn3 + -12m2n2 + m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(32n2 + -12mn + m2) = 0

Factor a trinomial.
mn((4n + -1m)(8n + -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 '(4n + -1m)' equal to zero and attempt to solve:

Simplifying
4n + -1m = 0

Reorder the terms:
-1m + 4n = 0

Solving
-1m + 4n = 0

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

Add '-4n' to each side of the equation.
-1m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
-1m + 0 = 0 + -4n
-1m = 0 + -4n
Remove the zero:
-1m = -4n

Divide each side by '-1'.
m = 4n

Simplifying
m = 4n

Subproblem 3
Set the factor '(8n + -1m)' equal to zero and attempt to solve:

Simplifying
8n + -1m = 0

Reorder the terms:
-1m + 8n = 0

Solving
-1m + 8n = 0

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

Add '-8n' to each side of the equation.
-1m + 8n + -8n = 0 + -8n

Combine like terms: 8n + -8n = 0
-1m + 0 = 0 + -8n
-1m = 0 + -8n
Remove the zero:
-1m = -8n

Divide each side by '-1'.
m = 8n

Simplifying
m = 8n
Solution
m = {4n, 8n}

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