m^2=-18m-77

Solution for m^2=-18m-77 equation:

Simplifying
m2 = -18m + -77

Reorder the terms:
m2 = -77 + -18m

Solving
m2 = -77 + -18m

Solving for variable 'm'.

Reorder the terms:
77 + 18m + m2 = -77 + -18m + 77 + 18m

Reorder the terms:
77 + 18m + m2 = -77 + 77 + -18m + 18m

Combine like terms: -77 + 77 = 0
77 + 18m + m2 = 0 + -18m + 18m
77 + 18m + m2 = -18m + 18m

Combine like terms: -18m + 18m = 0
77 + 18m + m2 = 0

Factor a trinomial.
(11 + m)(7 + 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 '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Simplifying
m = -7
Solution
m = {-11, -7}