b^2+18b+65=0

Solution for b^2+18b+65=0 equation:

Simplifying
b2 + 18b + 65 = 0

Reorder the terms:
65 + 18b + b2 = 0

Solving
65 + 18b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(13 + b)(5 + b) = 0

Subproblem 1
Set the factor '(13 + b)' equal to zero and attempt to solve:

Simplifying
13 + b = 0

Solving
13 + b = 0

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

Add '-13' to each side of the equation.
13 + -13 + b = 0 + -13

Combine like terms: 13 + -13 = 0
0 + b = 0 + -13
b = 0 + -13

Combine like terms: 0 + -13 = -13
b = -13

Simplifying
b = -13
Subproblem 2
Set the factor '(5 + b)' equal to zero and attempt to solve:

Simplifying
5 + b = 0

Solving
5 + b = 0

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

Add '-5' to each side of the equation.
5 + -5 + b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b = 0 + -5
b = 0 + -5

Combine like terms: 0 + -5 = -5
b = -5

Simplifying
b = -5
Solution
b = {-13, -5}