m^2+36m+180=0

Solution for m^2+36m+180=0 equation:

Simplifying
m2 + 36m + 180 = 0

Reorder the terms:
180 + 36m + m2 = 0

Solving
180 + 36m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(30 + m)(6 + m) = 0

Subproblem 1
Set the factor '(30 + m)' equal to zero and attempt to solve:

Simplifying
30 + m = 0

Solving
30 + m = 0

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

Add '-30' to each side of the equation.
30 + -30 + m = 0 + -30

Combine like terms: 30 + -30 = 0
0 + m = 0 + -30
m = 0 + -30

Combine like terms: 0 + -30 = -30
m = -30

Simplifying
m = -30
Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 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 + m = 0 + -6

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

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

Simplifying
m = -6
Solution
m = {-30, -6}