(6m^4-2m^2+m)-(5m^3+6m^2+6m)+(m^2-m)=

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Solution for (6m^4-2m^2+m)-(5m^3+6m^2+6m)+(m^2-m)= equation: 


Simplifying
(6m4 + -2m2 + m) + -1(5m3 + 6m2 + 6m) + (m2 + -1m) = 0

Reorder the terms:
(m + -2m2 + 6m4) + -1(5m3 + 6m2 + 6m) + (m2 + -1m) = 0

Remove parenthesis around (m + -2m2 + 6m4)
m + -2m2 + 6m4 + -1(5m3 + 6m2 + 6m) + (m2 + -1m) = 0

Reorder the terms:
m + -2m2 + 6m4 + -1(6m + 6m2 + 5m3) + (m2 + -1m) = 0
m + -2m2 + 6m4 + (6m * -1 + 6m2 * -1 + 5m3 * -1) + (m2 + -1m) = 0
m + -2m2 + 6m4 + (-6m + -6m2 + -5m3) + (m2 + -1m) = 0

Reorder the terms:
m + -2m2 + 6m4 + -6m + -6m2 + -5m3 + (-1m + m2) = 0

Remove parenthesis around (-1m + m2)
m + -2m2 + 6m4 + -6m + -6m2 + -5m3 + -1m + m2 = 0

Reorder the terms:
m + -6m + -1m + -2m2 + -6m2 + m2 + -5m3 + 6m4 = 0

Combine like terms: m + -6m = -5m
-5m + -1m + -2m2 + -6m2 + m2 + -5m3 + 6m4 = 0

Combine like terms: -5m + -1m = -6m
-6m + -2m2 + -6m2 + m2 + -5m3 + 6m4 = 0

Combine like terms: -2m2 + -6m2 = -8m2
-6m + -8m2 + m2 + -5m3 + 6m4 = 0

Combine like terms: -8m2 + m2 = -7m2
-6m + -7m2 + -5m3 + 6m4 = 0

Solving
-6m + -7m2 + -5m3 + 6m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-6 + -7m + -5m2 + 6m3) = 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 '(-6 + -7m + -5m2 + 6m3)' equal to zero and attempt to solve:

Simplifying
-6 + -7m + -5m2 + 6m3 = 0

Solving
-6 + -7m + -5m2 + 6m3 = 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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