(b+3)x(b+8)=

Solution for (b+3)x(b+8)= equation:

Simplifying
(b + 3) * x(b + 8) = 0

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

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

Reorder the terms for easier multiplication:
x(3 + b)(8 + b) = 0

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

Combine like terms: 3b + 8b = 11b
x(24 + 11b + b2) = 0
(24 * x + 11b * x + b2 * x) = 0

Reorder the terms:
(11bx + b2x + 24x) = 0
(11bx + b2x + 24x) = 0

Solving
11bx + b2x + 24x = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11b + b2 + 24) = 0

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(b + 3)' equal to zero and attempt to solve:

Simplifying
b + 3 = 0

Reorder the terms:
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
Subproblem 3
Set the factor '(b + 8)' equal to zero and attempt to solve:

Simplifying
b + 8 = 0

Reorder the terms:
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 = {-3, -8}