(3b-4)(4b-6)=

Solution for (3b-4)(4b-6)= equation:

Simplifying
(3b + -4)(4b + -6) = 0

Reorder the terms:
(-4 + 3b)(4b + -6) = 0

Reorder the terms:
(-4 + 3b)(-6 + 4b) = 0

Multiply (-4 + 3b) * (-6 + 4b)
(-4(-6 + 4b) + 3b * (-6 + 4b)) = 0
((-6 * -4 + 4b * -4) + 3b * (-6 + 4b)) = 0
((24 + -16b) + 3b * (-6 + 4b)) = 0
(24 + -16b + (-6 * 3b + 4b * 3b)) = 0
(24 + -16b + (-18b + 12b2)) = 0

Combine like terms: -16b + -18b = -34b
(24 + -34b + 12b2) = 0

Solving
24 + -34b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17b + 6b2) = 0

Factor a trinomial.
2((4 + -3b)(3 + -2b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 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 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Subproblem 2
Set the factor '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {1.333333333, 1.5}