2m^2n(m^3-n)-5m^2n(3m^3+4n)=

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Solution for 2m^2n(m^3-n)-5m^2n(3m^3+4n)= equation: 


Simplifying
2m2n(m3 + -1n) + -5m2n(3m3 + 4n) = 0
(m3 * 2m2n + -1n * 2m2n) + -5m2n(3m3 + 4n) = 0

Reorder the terms:
(-2m2n2 + 2m5n) + -5m2n(3m3 + 4n) = 0
(-2m2n2 + 2m5n) + -5m2n(3m3 + 4n) = 0
-2m2n2 + 2m5n + (3m3 * -5m2n + 4n * -5m2n) = 0

Reorder the terms:
-2m2n2 + 2m5n + (-20m2n2 + -15m5n) = 0
-2m2n2 + 2m5n + (-20m2n2 + -15m5n) = 0

Reorder the terms:
-2m2n2 + -20m2n2 + 2m5n + -15m5n = 0

Combine like terms: -2m2n2 + -20m2n2 = -22m2n2
-22m2n2 + 2m5n + -15m5n = 0

Combine like terms: 2m5n + -15m5n = -13m5n
-22m2n2 + -13m5n = 0

Solving
-22m2n2 + -13m5n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1m2n'.
-1m2n(22n + 13m3) = 0

Ignore the factor -1.

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 '(22n + 13m3)' equal to zero and attempt to solve:

Simplifying
22n + 13m3 = 0

Reorder the terms:
13m3 + 22n = 0

Solving
13m3 + 22n = 0

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

Add '-22n' to each side of the equation.
13m3 + 22n + -22n = 0 + -22n

Combine like terms: 22n + -22n = 0
13m3 + 0 = 0 + -22n
13m3 = 0 + -22n
Remove the zero:
13m3 = -22n

Divide each side by '13'.
m3 = -1.692307692n

Simplifying
m3 = -1.692307692n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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