b^2+20b+36=0

Solution for b^2+20b+36=0 equation:

Simplifying
b2 + 20b + 36 = 0

Reorder the terms:
36 + 20b + b2 = 0

Solving
36 + 20b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(18 + b)(2 + b) = 0

Subproblem 1
Set the factor '(18 + b)' equal to zero and attempt to solve:

Simplifying
18 + b = 0

Solving
18 + b = 0

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

Add '-18' to each side of the equation.
18 + -18 + b = 0 + -18

Combine like terms: 18 + -18 = 0
0 + b = 0 + -18
b = 0 + -18

Combine like terms: 0 + -18 = -18
b = -18

Simplifying
b = -18
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {-18, -2}