6m^4+12m^3+3m^2+21m=0

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Solution for 6m^4+12m^3+3m^2+21m=0 equation: 


Simplifying
6m4 + 12m3 + 3m2 + 21m = 0

Reorder the terms:
21m + 3m2 + 12m3 + 6m4 = 0

Solving
21m + 3m2 + 12m3 + 6m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(7 + m + 4m2 + 2m3) = 0

Ignore the factor 3.

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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(7 + m + 4m2 + 2m3)' equal to zero and attempt to solve:

Simplifying
7 + m + 4m2 + 2m3 = 0

Solving
7 + m + 4m2 + 2m3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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