(b+8)(b+2)=0

Solution for (b+8)(b+2)=0 equation:

Simplifying
(b + 8)(b + 2) = 0

Reorder the terms:
(8 + b)(b + 2) = 0

Reorder the terms:
(8 + b)(2 + b) = 0

Multiply (8 + b) * (2 + b)
(8(2 + b) + b(2 + b)) = 0
((2 * 8 + b * 8) + b(2 + b)) = 0
((16 + 8b) + b(2 + b)) = 0
(16 + 8b + (2 * b + b * b)) = 0
(16 + 8b + (2b + b2)) = 0

Combine like terms: 8b + 2b = 10b
(16 + 10b + b2) = 0

Solving
16 + 10b + b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

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

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

Simplifying
b = -8
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 = {-8, -2}