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

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

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

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

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

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

Combine like terms: -4b + 24b = 20b
(-24 + 20b + 4b2) = 0

Solving
-24 + 20b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 5b + b2) = 0

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

Ignore the factor 4.
Subproblem 1
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
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 = {-6, 1}