(4b+8)(b-6)=

Solution for (4b+8)(b-6)= equation:

Simplifying
(4b + 8)(b + -6) = 0

Reorder the terms:
(8 + 4b)(b + -6) = 0

Reorder the terms:
(8 + 4b)(-6 + b) = 0

Multiply (8 + 4b) * (-6 + b)
(8(-6 + b) + 4b * (-6 + b)) = 0
((-6 * 8 + b * 8) + 4b * (-6 + b)) = 0
((-48 + 8b) + 4b * (-6 + b)) = 0
(-48 + 8b + (-6 * 4b + b * 4b)) = 0
(-48 + 8b + (-24b + 4b2)) = 0

Combine like terms: 8b + -24b = -16b
(-48 + -16b + 4b2) = 0

Solving
-48 + -16b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -4b + b2) = 0

Factor a trinomial.
4((-2 + -1b)(6 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -1b)' equal to zero and attempt to solve:

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 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 + -1b = 0 + 2

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

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

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {-2, 6}