b^2+4b+9b+36=0

Solution for b^2+4b+9b+36=0 equation:

Simplifying
b2 + 4b + 9b + 36 = 0

Reorder the terms:
36 + 4b + 9b + b2 = 0

Combine like terms: 4b + 9b = 13b
36 + 13b + b2 = 0

Solving
36 + 13b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + b)(4 + b) = 0

Subproblem 1
Set the factor '(9 + b)' equal to zero and attempt to solve:

Simplifying
9 + b = 0

Solving
9 + b = 0

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

Add '-9' to each side of the equation.
9 + -9 + b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + b = 0 + -9
b = 0 + -9

Combine like terms: 0 + -9 = -9
b = -9

Simplifying
b = -9
Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

Solving
4 + b = 0

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

Add '-4' to each side of the equation.
4 + -4 + b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + b = 0 + -4
b = 0 + -4

Combine like terms: 0 + -4 = -4
b = -4

Simplifying
b = -4
Solution
b = {-9, -4}