m^2+17m+66=0

Solution for m^2+17m+66=0 equation:

Simplifying
m2 + 17m + 66 = 0

Reorder the terms:
66 + 17m + m2 = 0

Solving
66 + 17m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
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
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 = {-11, -6}