3m(m+12)-5(m+12)=0

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Solution for 3m(m+12)-5(m+12)=0 equation: 


Simplifying
3m(m + 12) + -5(m + 12) = 0

Reorder the terms:
3m(12 + m) + -5(m + 12) = 0
(12 * 3m + m * 3m) + -5(m + 12) = 0
(36m + 3m2) + -5(m + 12) = 0

Reorder the terms:
36m + 3m2 + -5(12 + m) = 0
36m + 3m2 + (12 * -5 + m * -5) = 0
36m + 3m2 + (-60 + -5m) = 0

Reorder the terms:
-60 + 36m + -5m + 3m2 = 0

Combine like terms: 36m + -5m = 31m
-60 + 31m + 3m2 = 0

Solving
-60 + 31m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-12 + -1m)(5 + -3m) = 0


Subproblem 1
Set the factor '(-12 + -1m)' equal to zero and attempt to solve:

Simplifying
-12 + -1m = 0

Solving
-12 + -1m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = 0 + 12
-1m = 0 + 12

Combine like terms: 0 + 12 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12

Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 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 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-12, 1.666666667}

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