(3b-2)(8b-8)=

Solution for (3b-2)(8b-8)= equation:

Simplifying
(3b + -2)(8b + -8) = 0

Reorder the terms:
(-2 + 3b)(8b + -8) = 0

Reorder the terms:
(-2 + 3b)(-8 + 8b) = 0

Multiply (-2 + 3b) * (-8 + 8b)
(-2(-8 + 8b) + 3b * (-8 + 8b)) = 0
((-8 * -2 + 8b * -2) + 3b * (-8 + 8b)) = 0
((16 + -16b) + 3b * (-8 + 8b)) = 0
(16 + -16b + (-8 * 3b + 8b * 3b)) = 0
(16 + -16b + (-24b + 24b2)) = 0

Combine like terms: -16b + -24b = -40b
(16 + -40b + 24b2) = 0

Solving
16 + -40b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + -5b + 3b2) = 0

Factor a trinomial.
8((2 + -3b)(1 + -1b)) = 0

Ignore the factor 8.
Subproblem 1
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
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 = {0.6666666667, 1}