(b+8)(b+5)=-2

Solution for (b+8)(b+5)=-2 equation:

Simplifying
(b + 8)(b + 5) = -2

Reorder the terms:
(8 + b)(b + 5) = -2

Reorder the terms:
(8 + b)(5 + b) = -2

Multiply (8 + b) * (5 + b)
(8(5 + b) + b(5 + b)) = -2
((5 * 8 + b * 8) + b(5 + b)) = -2
((40 + 8b) + b(5 + b)) = -2
(40 + 8b + (5 * b + b * b)) = -2
(40 + 8b + (5b + b2)) = -2

Combine like terms: 8b + 5b = 13b
(40 + 13b + b2) = -2

Solving
40 + 13b + b2 = -2

Solving for variable 'b'.

Reorder the terms:
40 + 2 + 13b + b2 = -2 + 2

Combine like terms: 40 + 2 = 42
42 + 13b + b2 = -2 + 2

Combine like terms: -2 + 2 = 0
42 + 13b + b2 = 0

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

Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Simplifying
b = -7
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 = {-7, -6}