(3b-2)(4b+4)=

Solution for (3b-2)(4b+4)= equation:

Simplifying
(3b + -2)(4b + 4) = 0

Reorder the terms:
(-2 + 3b)(4b + 4) = 0

Reorder the terms:
(-2 + 3b)(4 + 4b) = 0

Multiply (-2 + 3b) * (4 + 4b)
(-2(4 + 4b) + 3b * (4 + 4b)) = 0
((4 * -2 + 4b * -2) + 3b * (4 + 4b)) = 0
((-8 + -8b) + 3b * (4 + 4b)) = 0
(-8 + -8b + (4 * 3b + 4b * 3b)) = 0
(-8 + -8b + (12b + 12b2)) = 0

Combine like terms: -8b + 12b = 4b
(-8 + 4b + 12b2) = 0

Solving
-8 + 4b + 12b2 = 0

Solving for variable 'b'.

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

Factor a trinomial.
4((-1 + -1b)(2 + -3b)) = 0

Ignore the factor 4.
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 '(2 + -3b)' equal to zero and attempt to solve:

Simplifying
2 + -3b = 0

Solving
2 + -3b = 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 + -3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3b = 0 + -2
-3b = 0 + -2

Combine like terms: 0 + -2 = -2
-3b = -2

Divide each side by '-3'.
b = 0.6666666667

Simplifying
b = 0.6666666667
Solution
b = {-1, 0.6666666667}