3m^2-9m-6m+30=2m^2-4m

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Solution for 3m^2-9m-6m+30=2m^2-4m equation: 


Simplifying
3m2 + -9m + -6m + 30 = 2m2 + -4m

Reorder the terms:
30 + -9m + -6m + 3m2 = 2m2 + -4m

Combine like terms: -9m + -6m = -15m
30 + -15m + 3m2 = 2m2 + -4m

Reorder the terms:
30 + -15m + 3m2 = -4m + 2m2

Solving
30 + -15m + 3m2 = -4m + 2m2

Solving for variable 'm'.

Reorder the terms:
30 + -15m + 4m + 3m2 + -2m2 = -4m + 2m2 + 4m + -2m2

Combine like terms: -15m + 4m = -11m
30 + -11m + 3m2 + -2m2 = -4m + 2m2 + 4m + -2m2

Combine like terms: 3m2 + -2m2 = 1m2
30 + -11m + 1m2 = -4m + 2m2 + 4m + -2m2

Reorder the terms:
30 + -11m + 1m2 = -4m + 4m + 2m2 + -2m2

Combine like terms: -4m + 4m = 0
30 + -11m + 1m2 = 0 + 2m2 + -2m2
30 + -11m + 1m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
30 + -11m + 1m2 = 0

Factor a trinomial.
(5 + -1m)(6 + -1m) = 0


Subproblem 1
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5

Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {5, 6}

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