b^2+8=-6b

Solution for b^2+8=-6b equation:

Simplifying
b2 + 8 = -6b

Reorder the terms:
8 + b2 = -6b

Solving
8 + b2 = -6b

Solving for variable 'b'.

Reorder the terms:
8 + 6b + b2 = -6b + 6b

Combine like terms: -6b + 6b = 0
8 + 6b + b2 = 0

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

Subproblem 1
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
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 = {-4, -2}