6m^2n+4mn^3=

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Solution for 6m^2n+4mn^3= equation: 


Simplifying
6m2n + 4mn3 = 0

Reorder the terms:
4mn3 + 6m2n = 0

Solving
4mn3 + 6m2n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2mn'.
2mn(2n2 + 3m) = 0

Ignore the factor 2.

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 '(2n2 + 3m)' equal to zero and attempt to solve:

Simplifying
2n2 + 3m = 0

Reorder the terms:
3m + 2n2 = 0

Solving
3m + 2n2 = 0

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

Add '-2n2' to each side of the equation.
3m + 2n2 + -2n2 = 0 + -2n2

Combine like terms: 2n2 + -2n2 = 0
3m + 0 = 0 + -2n2
3m = 0 + -2n2
Remove the zero:
3m = -2n2

Divide each side by '3'.
m = -0.6666666667n2

Simplifying
m = -0.6666666667n2
Solution
m = {-0.6666666667n2}

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