2m^2n(m^5-n)-5m^2n(3m^3+4n)=0

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Solution for 2m^2n(m^5-n)-5m^2n(3m^3+4n)=0 equation: 


Simplifying
2m2n(m5 + -1n) + -5m2n(3m3 + 4n) = 0
(m5 * 2m2n + -1n * 2m2n) + -5m2n(3m3 + 4n) = 0

Reorder the terms:
(-2m2n2 + 2m7n) + -5m2n(3m3 + 4n) = 0
(-2m2n2 + 2m7n) + -5m2n(3m3 + 4n) = 0
-2m2n2 + 2m7n + (3m3 * -5m2n + 4n * -5m2n) = 0

Reorder the terms:
-2m2n2 + 2m7n + (-20m2n2 + -15m5n) = 0
-2m2n2 + 2m7n + (-20m2n2 + -15m5n) = 0

Reorder the terms:
-2m2n2 + -20m2n2 + -15m5n + 2m7n = 0

Combine like terms: -2m2n2 + -20m2n2 = -22m2n2
-22m2n2 + -15m5n + 2m7n = 0

Solving
-22m2n2 + -15m5n + 2m7n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2n'.
m2n(-22n + -15m3 + 2m5) = 0


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 + -15m3 + 2m5)' equal to zero and attempt to solve:

Simplifying
-22n + -15m3 + 2m5 = 0

Reorder the terms:
-15m3 + 2m5 + -22n = 0

Solving
-15m3 + 2m5 + -22n = 0

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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