(4b-8)(2b+4)=

Solution for (4b-8)(2b+4)= equation:

Simplifying
(4b + -8)(2b + 4) = 0

Reorder the terms:
(-8 + 4b)(2b + 4) = 0

Reorder the terms:
(-8 + 4b)(4 + 2b) = 0

Multiply (-8 + 4b) * (4 + 2b)
(-8(4 + 2b) + 4b * (4 + 2b)) = 0
((4 * -8 + 2b * -8) + 4b * (4 + 2b)) = 0
((-32 + -16b) + 4b * (4 + 2b)) = 0
(-32 + -16b + (4 * 4b + 2b * 4b)) = 0
(-32 + -16b + (16b + 8b2)) = 0

Combine like terms: -16b + 16b = 0
(-32 + 0 + 8b2) = 0
(-32 + 8b2) = 0

Solving
-32 + 8b2 = 0

Solving for variable 'b'.

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

Add '32' to each side of the equation.
-32 + 32 + 8b2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 8b2 = 0 + 32
8b2 = 0 + 32

Combine like terms: 0 + 32 = 32
8b2 = 32

Divide each side by '8'.
b2 = 4

Simplifying
b2 = 4

Take the square root of each side:
b = {-2, 2}