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

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


Simplifying
(6m4 + -3m2 + m) + -1(2m2 + 5m2 + 4m) + (m2 + -1m) = 0

Reorder the terms:
(m + -3m2 + 6m4) + -1(2m2 + 5m2 + 4m) + (m2 + -1m) = 0

Remove parenthesis around (m + -3m2 + 6m4)
m + -3m2 + 6m4 + -1(2m2 + 5m2 + 4m) + (m2 + -1m) = 0

Reorder the terms:
m + -3m2 + 6m4 + -1(4m + 2m2 + 5m2) + (m2 + -1m) = 0

Combine like terms: 2m2 + 5m2 = 7m2
m + -3m2 + 6m4 + -1(4m + 7m2) + (m2 + -1m) = 0
m + -3m2 + 6m4 + (4m * -1 + 7m2 * -1) + (m2 + -1m) = 0
m + -3m2 + 6m4 + (-4m + -7m2) + (m2 + -1m) = 0

Reorder the terms:
m + -3m2 + 6m4 + -4m + -7m2 + (-1m + m2) = 0

Remove parenthesis around (-1m + m2)
m + -3m2 + 6m4 + -4m + -7m2 + -1m + m2 = 0

Reorder the terms:
m + -4m + -1m + -3m2 + -7m2 + m2 + 6m4 = 0

Combine like terms: m + -4m = -3m
-3m + -1m + -3m2 + -7m2 + m2 + 6m4 = 0

Combine like terms: -3m + -1m = -4m
-4m + -3m2 + -7m2 + m2 + 6m4 = 0

Combine like terms: -3m2 + -7m2 = -10m2
-4m + -10m2 + m2 + 6m4 = 0

Combine like terms: -10m2 + m2 = -9m2
-4m + -9m2 + 6m4 = 0

Solving
-4m + -9m2 + 6m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-4 + -9m + 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 '(-4 + -9m + 6m3)' equal to zero and attempt to solve:

Simplifying
-4 + -9m + 6m3 = 0

Solving
-4 + -9m + 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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