mn^5-m^3n=0

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Solution for mn^5-m^3n=0 equation: 


Simplifying
mn5 + -1m3n = 0

Solving
mn5 + -1m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(n4 + -1m2) = 0

Factor a difference between two squares.
mn((n2 + m)(n2 + -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 '(n2 + m)' equal to zero and attempt to solve:

Simplifying
n2 + m = 0

Reorder the terms:
m + n2 = 0

Solving
m + n2 = 0

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

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

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

Simplifying
m = -1n2

Subproblem 3
Set the factor '(n2 + -1m)' equal to zero and attempt to solve:

Simplifying
n2 + -1m = 0

Reorder the terms:
-1m + n2 = 0

Solving
-1m + n2 = 0

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

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

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

Divide each side by '-1'.
m = n2

Simplifying
m = n2
Solution
m = {-1n2, n2}

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