(b+3)*(b+8)=

Solution for (b+3)*(b+8)= 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 = 11b
(24 + 11b + b2) = 0

Solving
24 + 11b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + b)(3 + 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 '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

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

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

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