m^2+26m+120=0

Solution for m^2+26m+120=0 equation:

Simplifying
m2 + 26m + 120 = 0

Reorder the terms:
120 + 26m + m2 = 0

Solving
120 + 26m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(20 + m)' equal to zero and attempt to solve:

Simplifying
20 + m = 0

Solving
20 + m = 0

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

Add '-20' to each side of the equation.
20 + -20 + m = 0 + -20

Combine like terms: 20 + -20 = 0
0 + m = 0 + -20
m = 0 + -20

Combine like terms: 0 + -20 = -20
m = -20

Simplifying
m = -20
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 = {-20, -6}