20m^2n^3-12m^2n^2-4m^3n=

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Solution for 20m^2n^3-12m^2n^2-4m^3n= equation: 


Simplifying
20m2n3 + -12m2n2 + -4m3n = 0

Reorder the terms:
-12m2n2 + 20m2n3 + -4m3n = 0

Solving
-12m2n2 + 20m2n3 + -4m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m2n'.
4m2n(-3n + 5n2 + -1m) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'm2n' equal to zero and attempt to solve:

Simplifying
m2n = 0

Solving
m2n = 0

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

Simplifying
m2n = 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 '(-3n + 5n2 + -1m)' equal to zero and attempt to solve:

Simplifying
-3n + 5n2 + -1m = 0

Reorder the terms:
-1m + -3n + 5n2 = 0

Solving
-1m + -3n + 5n2 = 0

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

Add '3n' to each side of the equation.
-1m + -3n + 3n + 5n2 = 0 + 3n

Combine like terms: -3n + 3n = 0
-1m + 0 + 5n2 = 0 + 3n
-1m + 5n2 = 0 + 3n
Remove the zero:
-1m + 5n2 = 3n

Add '-5n2' to each side of the equation.
-1m + 5n2 + -5n2 = 3n + -5n2

Combine like terms: 5n2 + -5n2 = 0
-1m + 0 = 3n + -5n2
-1m = 3n + -5n2

Divide each side by '-1'.
m = -3n + 5n2

Simplifying
m = -3n + 5n2
Solution
m = {-3n + 5n2}

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