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

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

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

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

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

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

Combine like terms: -2b + 8b = 6b
(-8 + 6b + 2b2) = 0

Solving
-8 + 6b + 2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3b + b2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
b = {-4, 1}