(3b+3)(8b+4)=

Solution for (3b+3)(8b+4)= equation:

Simplifying
(3b + 3)(8b + 4) = 0

Reorder the terms:
(3 + 3b)(8b + 4) = 0

Reorder the terms:
(3 + 3b)(4 + 8b) = 0

Multiply (3 + 3b) * (4 + 8b)
(3(4 + 8b) + 3b * (4 + 8b)) = 0
((4 * 3 + 8b * 3) + 3b * (4 + 8b)) = 0
((12 + 24b) + 3b * (4 + 8b)) = 0
(12 + 24b + (4 * 3b + 8b * 3b)) = 0
(12 + 24b + (12b + 24b2)) = 0

Combine like terms: 24b + 12b = 36b
(12 + 36b + 24b2) = 0

Solving
12 + 36b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '12'.
12(1 + 3b + 2b2) = 0

Factor a trinomial.
12((1 + b)(1 + 2b)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

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

Simplifying
1 + 2b = 0

Solving
1 + 2b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 0 + -1
2b = 0 + -1

Combine like terms: 0 + -1 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {-1, -0.5}