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

Solution for (b+2)(3b+8)=0 equation:

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

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

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

Multiply (2 + b) * (8 + 3b)
(2(8 + 3b) + b(8 + 3b)) = 0
((8 * 2 + 3b * 2) + b(8 + 3b)) = 0
((16 + 6b) + b(8 + 3b)) = 0
(16 + 6b + (8 * b + 3b * b)) = 0
(16 + 6b + (8b + 3b2)) = 0

Combine like terms: 6b + 8b = 14b
(16 + 14b + 3b2) = 0

Solving
16 + 14b + 3b2 = 0

Solving for variable 'b'.

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

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

Simplifying
8 + 3b = 0

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

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

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

Divide each side by '3'.
b = -2.666666667

Simplifying
b = -2.666666667
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {-2.666666667, -2}