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

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

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

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

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

Multiply (3 + 8b) * (3 + b)
(3(3 + b) + 8b * (3 + b)) = 0
((3 * 3 + b * 3) + 8b * (3 + b)) = 0
((9 + 3b) + 8b * (3 + b)) = 0
(9 + 3b + (3 * 8b + b * 8b)) = 0
(9 + 3b + (24b + 8b2)) = 0

Combine like terms: 3b + 24b = 27b
(9 + 27b + 8b2) = 0

Solving
9 + 27b + 8b2 = 0

Solving for variable 'b'.

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

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

Simplifying
3 + 8b = 0

Solving
3 + 8b = 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 + 8b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8b = 0 + -3
8b = 0 + -3

Combine like terms: 0 + -3 = -3
8b = -3

Divide each side by '8'.
b = -0.375

Simplifying
b = -0.375
Solution
b = {-3, -0.375}