m^2+5m+12=8

Solution for m^2+5m+12=8 equation:

Simplifying
m2 + 5m + 12 = 8

Reorder the terms:
12 + 5m + m2 = 8

Solving
12 + 5m + m2 = 8

Solving for variable 'm'.

Reorder the terms:
12 + -8 + 5m + m2 = 8 + -8

Combine like terms: 12 + -8 = 4
4 + 5m + m2 = 8 + -8

Combine like terms: 8 + -8 = 0
4 + 5m + m2 = 0

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

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

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

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

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

Simplifying
m = -4
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {-4, -1}