12m(m+2)=5m-5

Solution for 12m(m+2)=5m-5 equation:

Simplifying
12m(m + 2) = 5m + -5

Reorder the terms:
12m(2 + m) = 5m + -5
(2 * 12m + m * 12m) = 5m + -5
(24m + 12m2) = 5m + -5

Reorder the terms:
24m + 12m2 = -5 + 5m

Solving
24m + 12m2 = -5 + 5m

Solving for variable 'm'.

Reorder the terms:
5 + 24m + -5m + 12m2 = -5 + 5m + 5 + -5m

Combine like terms: 24m + -5m = 19m
5 + 19m + 12m2 = -5 + 5m + 5 + -5m

Reorder the terms:
5 + 19m + 12m2 = -5 + 5 + 5m + -5m

Combine like terms: -5 + 5 = 0
5 + 19m + 12m2 = 0 + 5m + -5m
5 + 19m + 12m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
5 + 19m + 12m2 = 0

Factor a trinomial.
(5 + 4m)(1 + 3m) = 0

Subproblem 1
Set the factor '(5 + 4m)' equal to zero and attempt to solve:

Simplifying
5 + 4m = 0

Solving
5 + 4m = 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 + 4m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4m = 0 + -5
4m = 0 + -5

Combine like terms: 0 + -5 = -5
4m = -5

Divide each side by '4'.
m = -1.25

Simplifying
m = -1.25
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
Solution
m = {-1.25, -0.3333333333}