b^2+18b+77=0

Solution for b^2+18b+77=0 equation:

Simplifying
b2 + 18b + 77 = 0

Reorder the terms:
77 + 18b + b2 = 0

Solving
77 + 18b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(11 + b)(7 + b) = 0

Subproblem 1
Set the factor '(11 + b)' equal to zero and attempt to solve:

Simplifying
11 + b = 0

Solving
11 + b = 0

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

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

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

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

Simplifying
b = -11
Subproblem 2
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

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

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

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

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