b^2+8b=-16

Solution for b^2+8b=-16 equation:

Simplifying
b2 + 8b = -16

Reorder the terms:
8b + b2 = -16

Solving
8b + b2 = -16

Solving for variable 'b'.

Reorder the terms:
16 + 8b + b2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 8b + b2 = 0

Factor a trinomial.
(4 + b)(4 + 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 '(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 = {-4, -4}