(3b+2)(8b+8)=

Solution for (3b+2)(8b+8)= equation:

Simplifying
(3b + 2)(8b + 8) = 0

Reorder the terms:
(2 + 3b)(8b + 8) = 0

Reorder the terms:
(2 + 3b)(8 + 8b) = 0

Multiply (2 + 3b) * (8 + 8b)
(2(8 + 8b) + 3b * (8 + 8b)) = 0
((8 * 2 + 8b * 2) + 3b * (8 + 8b)) = 0
((16 + 16b) + 3b * (8 + 8b)) = 0
(16 + 16b + (8 * 3b + 8b * 3b)) = 0
(16 + 16b + (24b + 24b2)) = 0

Combine like terms: 16b + 24b = 40b
(16 + 40b + 24b2) = 0

Solving
16 + 40b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + 5b + 3b2) = 0

Factor a trinomial.
8((1 + b)(2 + 3b)) = 0

Ignore the factor 8.
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 '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 0 + -2
3b = 0 + -2

Combine like terms: 0 + -2 = -2
3b = -2

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {-1, -0.6666666667}