(6b-4)(4b-8)=

Solution for (6b-4)(4b-8)= equation:

Simplifying
(6b + -4)(4b + -8) = 0

Reorder the terms:
(-4 + 6b)(4b + -8) = 0

Reorder the terms:
(-4 + 6b)(-8 + 4b) = 0

Multiply (-4 + 6b) * (-8 + 4b)
(-4(-8 + 4b) + 6b * (-8 + 4b)) = 0
((-8 * -4 + 4b * -4) + 6b * (-8 + 4b)) = 0
((32 + -16b) + 6b * (-8 + 4b)) = 0
(32 + -16b + (-8 * 6b + 4b * 6b)) = 0
(32 + -16b + (-48b + 24b2)) = 0

Combine like terms: -16b + -48b = -64b
(32 + -64b + 24b2) = 0

Solving
32 + -64b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + -8b + 3b2) = 0

Factor a trinomial.
8((2 + -3b)(2 + -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 '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 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 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {0.6666666667, 2}