(5b+2)(4b-4)=

Solution for (5b+2)(4b-4)= equation:

Simplifying
(5b + 2)(4b + -4) = 0

Reorder the terms:
(2 + 5b)(4b + -4) = 0

Reorder the terms:
(2 + 5b)(-4 + 4b) = 0

Multiply (2 + 5b) * (-4 + 4b)
(2(-4 + 4b) + 5b * (-4 + 4b)) = 0
((-4 * 2 + 4b * 2) + 5b * (-4 + 4b)) = 0
((-8 + 8b) + 5b * (-4 + 4b)) = 0
(-8 + 8b + (-4 * 5b + 4b * 5b)) = 0
(-8 + 8b + (-20b + 20b2)) = 0

Combine like terms: 8b + -20b = -12b
(-8 + -12b + 20b2) = 0

Solving
-8 + -12b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3b + 5b2) = 0

Factor a trinomial.
4((-2 + -5b)(1 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -5b)' equal to zero and attempt to solve:

Simplifying
-2 + -5b = 0

Solving
-2 + -5b = 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 + -5b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5b = 0 + 2
-5b = 0 + 2

Combine like terms: 0 + 2 = 2
-5b = 2

Divide each side by '-5'.
b = -0.4

Simplifying
b = -0.4
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 = {-0.4, 1}