6m^6n+11m^5n^2+3m^4n^3=0

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Solution for 6m^6n+11m^5n^2+3m^4n^3=0 equation: 


Simplifying
6m6n + 11m5n2 + 3m4n3 = 0

Reorder the terms:
3m4n3 + 11m5n2 + 6m6n = 0

Solving
3m4n3 + 11m5n2 + 6m6n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm4n'.
m4n(3n2 + 11mn + 6m2) = 0

Factor a trinomial.
m4n((3n + 2m)(n + 3m)) = 0


Subproblem 1
Set the factor 'm4n' equal to zero and attempt to solve:

Simplifying
m4n = 0

Solving
m4n = 0

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

Simplifying
m4n = 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 + 2m)' equal to zero and attempt to solve:

Simplifying
3n + 2m = 0

Reorder the terms:
2m + 3n = 0

Solving
2m + 3n = 0

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

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

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

Divide each side by '2'.
m = -1.5n

Simplifying
m = -1.5n

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

Simplifying
n + 3m = 0

Reorder the terms:
3m + n = 0

Solving
3m + n = 0

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

Add '-1n' to each side of the equation.
3m + n + -1n = 0 + -1n

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

Divide each side by '3'.
m = -0.3333333333n

Simplifying
m = -0.3333333333n
Solution
m = {-1.5n, -0.3333333333n}

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