(b+3)(b-8)=0

Solution for (b+3)(b-8)=0 equation:

Simplifying
(b + 3)(b + -8) = 0

Reorder the terms:
(3 + b)(b + -8) = 0

Reorder the terms:
(3 + b)(-8 + b) = 0

Multiply (3 + b) * (-8 + b)
(3(-8 + b) + b(-8 + b)) = 0
((-8 * 3 + b * 3) + b(-8 + b)) = 0
((-24 + 3b) + b(-8 + b)) = 0
(-24 + 3b + (-8 * b + b * b)) = 0
(-24 + 3b + (-8b + b2)) = 0

Combine like terms: 3b + -8b = -5b
(-24 + -5b + b2) = 0

Solving
-24 + -5b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -1b)(8 + -1b) = 0

Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 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 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-3, 8}