b^2=-12-8b

Solution for b^2=-12-8b equation:

Simplifying
b2 = -12 + -8b

Solving
b2 = -12 + -8b

Solving for variable 'b'.

Reorder the terms:
12 + 8b + b2 = -12 + -8b + 12 + 8b

Reorder the terms:
12 + 8b + b2 = -12 + 12 + -8b + 8b

Combine like terms: -12 + 12 = 0
12 + 8b + b2 = 0 + -8b + 8b
12 + 8b + b2 = -8b + 8b

Combine like terms: -8b + 8b = 0
12 + 8b + b2 = 0

Factor a trinomial.
(6 + b)(2 + 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 '(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 = {-6, -2}