m^2=-23m-132

Solution for m^2=-23m-132 equation:

Simplifying
m2 = -23m + -132

Reorder the terms:
m2 = -132 + -23m

Solving
m2 = -132 + -23m

Solving for variable 'm'.

Reorder the terms:
132 + 23m + m2 = -132 + -23m + 132 + 23m

Reorder the terms:
132 + 23m + m2 = -132 + 132 + -23m + 23m

Combine like terms: -132 + 132 = 0
132 + 23m + m2 = 0 + -23m + 23m
132 + 23m + m2 = -23m + 23m

Combine like terms: -23m + 23m = 0
132 + 23m + m2 = 0

Factor a trinomial.
(12 + m)(11 + m) = 0

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

Simplifying
12 + m = 0

Solving
12 + m = 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 + m = 0 + -12

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

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

Simplifying
m = -12
Subproblem 2
Set the factor '(11 + m)' equal to zero and attempt to solve:

Simplifying
11 + m = 0

Solving
11 + m = 0

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

Add '-11' to each side of the equation.
11 + -11 + m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + m = 0 + -11
m = 0 + -11

Combine like terms: 0 + -11 = -11
m = -11

Simplifying
m = -11
Solution
m = {-12, -11}