(b+8)(6-2b)=

Solution for (b+8)(6-2b)= equation:

Simplifying
(b + 8)(6 + -2b) = 0

Reorder the terms:
(8 + b)(6 + -2b) = 0

Multiply (8 + b) * (6 + -2b)
(8(6 + -2b) + b(6 + -2b)) = 0
((6 * 8 + -2b * 8) + b(6 + -2b)) = 0
((48 + -16b) + b(6 + -2b)) = 0
(48 + -16b + (6 * b + -2b * b)) = 0
(48 + -16b + (6b + -2b2)) = 0

Combine like terms: -16b + 6b = -10b
(48 + -10b + -2b2) = 0

Solving
48 + -10b + -2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -5b + -1b2) = 0

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

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

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

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

Simplifying
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}