6m^3-m^2-m=6m^2+2m

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


Simplifying
6m3 + -1m2 + -1m = 6m2 + 2m

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

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

Solving
-1m + -1m2 + 6m3 = 2m + 6m2

Solving for variable 'm'.

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

Combine like terms: -1m + -2m = -3m
-3m + -1m2 + -6m2 + 6m3 = 2m + 6m2 + -2m + -6m2

Combine like terms: -1m2 + -6m2 = -7m2
-3m + -7m2 + 6m3 = 2m + 6m2 + -2m + -6m2

Reorder the terms:
-3m + -7m2 + 6m3 = 2m + -2m + 6m2 + -6m2

Combine like terms: 2m + -2m = 0
-3m + -7m2 + 6m3 = 0 + 6m2 + -6m2
-3m + -7m2 + 6m3 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-3m + -7m2 + 6m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-3 + -7m + 6m2) = 0

Factor a trinomial.
m((-1 + -3m)(3 + -2m)) = 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 '(-1 + -3m)' equal to zero and attempt to solve:

Simplifying
-1 + -3m = 0

Solving
-1 + -3m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3m = 0 + 1
-3m = 0 + 1

Combine like terms: 0 + 1 = 1
-3m = 1

Divide each side by '-3'.
m = -0.3333333333

Simplifying
m = -0.3333333333

Subproblem 3
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {0, -0.3333333333, 1.5}

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