36m^3n+105m^2n^3=0

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Solution for 36m^3n+105m^2n^3=0 equation: 


Simplifying
36m3n + 105m2n3 = 0

Reorder the terms:
105m2n3 + 36m3n = 0

Solving
105m2n3 + 36m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m2n'.
3m2n(35n2 + 12m) = 0

Ignore the factor 3.

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 '(35n2 + 12m)' equal to zero and attempt to solve:

Simplifying
35n2 + 12m = 0

Reorder the terms:
12m + 35n2 = 0

Solving
12m + 35n2 = 0

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

Add '-35n2' to each side of the equation.
12m + 35n2 + -35n2 = 0 + -35n2

Combine like terms: 35n2 + -35n2 = 0
12m + 0 = 0 + -35n2
12m = 0 + -35n2
Remove the zero:
12m = -35n2

Divide each side by '12'.
m = -2.916666667n2

Simplifying
m = -2.916666667n2
Solution
m = {-2.916666667n2}

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