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

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

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

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

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

Multiply (8 + 8b) * (-8 + 2b)
(8(-8 + 2b) + 8b * (-8 + 2b)) = 0
((-8 * 8 + 2b * 8) + 8b * (-8 + 2b)) = 0
((-64 + 16b) + 8b * (-8 + 2b)) = 0
(-64 + 16b + (-8 * 8b + 2b * 8b)) = 0
(-64 + 16b + (-64b + 16b2)) = 0

Combine like terms: 16b + -64b = -48b
(-64 + -48b + 16b2) = 0

Solving
-64 + -48b + 16b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-4 + -3b + b2) = 0

Factor a trinomial.
16((-1 + -1b)(4 + -1b)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-1 + -1b)' equal to zero and attempt to solve:

Simplifying
-1 + -1b = 0

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

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

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

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

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

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-1, 4}