3mn^3+5m^3n-6mn^3+15m^3n=

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Solution for 3mn^3+5m^3n-6mn^3+15m^3n= equation: 


Simplifying
3mn3 + 5m3n + -6mn3 + 15m3n = 0

Reorder the terms:
3mn3 + -6mn3 + 5m3n + 15m3n = 0

Combine like terms: 3mn3 + -6mn3 = -3mn3
-3mn3 + 5m3n + 15m3n = 0

Combine like terms: 5m3n + 15m3n = 20m3n
-3mn3 + 20m3n = 0

Solving
-3mn3 + 20m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(-3n2 + 20m2) = 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 '(-3n2 + 20m2)' equal to zero and attempt to solve:

Simplifying
-3n2 + 20m2 = 0

Reorder the terms:
20m2 + -3n2 = 0

Solving
20m2 + -3n2 = 0

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

Add '3n2' to each side of the equation.
20m2 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
20m2 + 0 = 0 + 3n2
20m2 = 0 + 3n2
Remove the zero:
20m2 = 3n2

Divide each side by '20'.
m2 = 0.15n2

Simplifying
m2 = 0.15n2

Take the square root of each side:
m = {-0.387298335n, 0.387298335n}
Solution
m = {-0.387298335n, 0.387298335n}

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