3m(6m^3+6m-3)-(-2m^4-4m^2+m)=

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Solution for 3m(6m^3+6m-3)-(-2m^4-4m^2+m)= equation: 


Simplifying
3m(6m3 + 6m + -3) + -1(-2m4 + -4m2 + m) = 0

Reorder the terms:
3m(-3 + 6m + 6m3) + -1(-2m4 + -4m2 + m) = 0
(-3 * 3m + 6m * 3m + 6m3 * 3m) + -1(-2m4 + -4m2 + m) = 0
(-9m + 18m2 + 18m4) + -1(-2m4 + -4m2 + m) = 0

Reorder the terms:
-9m + 18m2 + 18m4 + -1(m + -4m2 + -2m4) = 0
-9m + 18m2 + 18m4 + (m * -1 + -4m2 * -1 + -2m4 * -1) = 0
-9m + 18m2 + 18m4 + (-1m + 4m2 + 2m4) = 0

Reorder the terms:
-9m + -1m + 18m2 + 4m2 + 18m4 + 2m4 = 0

Combine like terms: -9m + -1m = -10m
-10m + 18m2 + 4m2 + 18m4 + 2m4 = 0

Combine like terms: 18m2 + 4m2 = 22m2
-10m + 22m2 + 18m4 + 2m4 = 0

Combine like terms: 18m4 + 2m4 = 20m4
-10m + 22m2 + 20m4 = 0

Solving
-10m + 22m2 + 20m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-5 + 11m + 10m3) = 0

Ignore the factor 2.

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 '(-5 + 11m + 10m3)' equal to zero and attempt to solve:

Simplifying
-5 + 11m + 10m3 = 0

Solving
-5 + 11m + 10m3 = 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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