(5b-4)(6b-6)=

Solution for (5b-4)(6b-6)= equation:

Simplifying
(5b + -4)(6b + -6) = 0

Reorder the terms:
(-4 + 5b)(6b + -6) = 0

Reorder the terms:
(-4 + 5b)(-6 + 6b) = 0

Multiply (-4 + 5b) * (-6 + 6b)
(-4(-6 + 6b) + 5b * (-6 + 6b)) = 0
((-6 * -4 + 6b * -4) + 5b * (-6 + 6b)) = 0
((24 + -24b) + 5b * (-6 + 6b)) = 0
(24 + -24b + (-6 * 5b + 6b * 5b)) = 0
(24 + -24b + (-30b + 30b2)) = 0

Combine like terms: -24b + -30b = -54b
(24 + -54b + 30b2) = 0

Solving
24 + -54b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -9b + 5b2) = 0

Factor a trinomial.
6((4 + -5b)(1 + -1b)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

Solving
4 + -5b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5b = 0 + -4
-5b = 0 + -4

Combine like terms: 0 + -4 = -4
-5b = -4

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
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 = {0.8, 1}