(3a-4)(4a-6)=

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

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

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

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

Multiply (-4 + 3a) * (-6 + 4a)
(-4(-6 + 4a) + 3a * (-6 + 4a)) = 0
((-6 * -4 + 4a * -4) + 3a * (-6 + 4a)) = 0
((24 + -16a) + 3a * (-6 + 4a)) = 0
(24 + -16a + (-6 * 3a + 4a * 3a)) = 0
(24 + -16a + (-18a + 12a2)) = 0

Combine like terms: -16a + -18a = -34a
(24 + -34a + 12a2) = 0

Solving
24 + -34a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17a + 6a2) = 0

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

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

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4

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

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

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

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

Simplifying
3 + -2a = 0

Solving
3 + -2a = 0

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

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

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

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

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

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