(b+8)(b+9)=0

Solution for (b+8)(b+9)=0 equation:

Simplifying
(b + 8)(b + 9) = 0

Reorder the terms:
(8 + b)(b + 9) = 0

Reorder the terms:
(8 + b)(9 + b) = 0

Multiply (8 + b) * (9 + b)
(8(9 + b) + b(9 + b)) = 0
((9 * 8 + b * 8) + b(9 + b)) = 0
((72 + 8b) + b(9 + b)) = 0
(72 + 8b + (9 * b + b * b)) = 0
(72 + 8b + (9b + b2)) = 0

Combine like terms: 8b + 9b = 17b
(72 + 17b + b2) = 0

Solving
72 + 17b + b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(9 + b)' equal to zero and attempt to solve:

Simplifying
9 + b = 0

Solving
9 + b = 0

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

Add '-9' to each side of the equation.
9 + -9 + b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + b = 0 + -9
b = 0 + -9

Combine like terms: 0 + -9 = -9
b = -9

Simplifying
b = -9
Subproblem 2
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
Solution
b = {-9, -8}