b^2+36=-12b

Solution for b^2+36=-12b equation:

Simplifying
b2 + 36 = -12b

Reorder the terms:
36 + b2 = -12b

Solving
36 + b2 = -12b

Solving for variable 'b'.

Reorder the terms:
36 + 12b + b2 = -12b + 12b

Combine like terms: -12b + 12b = 0
36 + 12b + b2 = 0

Factor a trinomial.
(6 + b)(6 + b) = 0

Subproblem 1
Set the factor '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {-6, -6}