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

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

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

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

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

Multiply (-4 + 6b) * (-6 + 5b)
(-4(-6 + 5b) + 6b * (-6 + 5b)) = 0
((-6 * -4 + 5b * -4) + 6b * (-6 + 5b)) = 0
((24 + -20b) + 6b * (-6 + 5b)) = 0
(24 + -20b + (-6 * 6b + 5b * 6b)) = 0
(24 + -20b + (-36b + 30b2)) = 0

Combine like terms: -20b + -36b = -56b
(24 + -56b + 30b2) = 0

Solving
24 + -56b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -28b + 15b2) = 0

Factor a trinomial.
2((2 + -3b)(6 + -5b)) = 0

Ignore the factor 2.
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 '(6 + -5b)' equal to zero and attempt to solve:

Simplifying
6 + -5b = 0

Solving
6 + -5b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = 0 + -6
-5b = 0 + -6

Combine like terms: 0 + -6 = -6
-5b = -6

Divide each side by '-5'.
b = 1.2

Simplifying
b = 1.2
Solution
b = {0.6666666667, 1.2}