(3m^4-6m^2+m)-(8m+3m^2+4m)+(m^2-m)=

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Solution for (3m^4-6m^2+m)-(8m+3m^2+4m)+(m^2-m)= equation: 


Simplifying
(3m4 + -6m2 + m) + -1(8m + 3m2 + 4m) + (m2 + -1m) = 0

Reorder the terms:
(m + -6m2 + 3m4) + -1(8m + 3m2 + 4m) + (m2 + -1m) = 0

Remove parenthesis around (m + -6m2 + 3m4)
m + -6m2 + 3m4 + -1(8m + 3m2 + 4m) + (m2 + -1m) = 0

Reorder the terms:
m + -6m2 + 3m4 + -1(8m + 4m + 3m2) + (m2 + -1m) = 0

Combine like terms: 8m + 4m = 12m
m + -6m2 + 3m4 + -1(12m + 3m2) + (m2 + -1m) = 0
m + -6m2 + 3m4 + (12m * -1 + 3m2 * -1) + (m2 + -1m) = 0
m + -6m2 + 3m4 + (-12m + -3m2) + (m2 + -1m) = 0

Reorder the terms:
m + -6m2 + 3m4 + -12m + -3m2 + (-1m + m2) = 0

Remove parenthesis around (-1m + m2)
m + -6m2 + 3m4 + -12m + -3m2 + -1m + m2 = 0

Reorder the terms:
m + -12m + -1m + -6m2 + -3m2 + m2 + 3m4 = 0

Combine like terms: m + -12m = -11m
-11m + -1m + -6m2 + -3m2 + m2 + 3m4 = 0

Combine like terms: -11m + -1m = -12m
-12m + -6m2 + -3m2 + m2 + 3m4 = 0

Combine like terms: -6m2 + -3m2 = -9m2
-12m + -9m2 + m2 + 3m4 = 0

Combine like terms: -9m2 + m2 = -8m2
-12m + -8m2 + 3m4 = 0

Solving
-12m + -8m2 + 3m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-12 + -8m + 3m3) = 0


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 '(-12 + -8m + 3m3)' equal to zero and attempt to solve:

Simplifying
-12 + -8m + 3m3 = 0

Solving
-12 + -8m + 3m3 = 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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