m^3n-8m^2n^2+15mn^3=0

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Solution for m^3n-8m^2n^2+15mn^3=0 equation: 


Simplifying
m3n + -8m2n2 + 15mn3 = 0

Reorder the terms:
15mn3 + -8m2n2 + m3n = 0

Solving
15mn3 + -8m2n2 + m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(15n2 + -8mn + m2) = 0

Factor a trinomial.
mn((3n + -1m)(5n + -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 '(3n + -1m)' equal to zero and attempt to solve:

Simplifying
3n + -1m = 0

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

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

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

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

Simplifying
m = 3n

Subproblem 3
Set the factor '(5n + -1m)' equal to zero and attempt to solve:

Simplifying
5n + -1m = 0

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

Solving
-1m + 5n = 0

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

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

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

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

Simplifying
m = 5n
Solution
m = {3n, 5n}

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