(3a-2)(8a-6)=

Solution for (3a-2)(8a-6)= equation:

Simplifying
(3a + -2)(8a + -6) = 0

Reorder the terms:
(-2 + 3a)(8a + -6) = 0

Reorder the terms:
(-2 + 3a)(-6 + 8a) = 0

Multiply (-2 + 3a) * (-6 + 8a)
(-2(-6 + 8a) + 3a * (-6 + 8a)) = 0
((-6 * -2 + 8a * -2) + 3a * (-6 + 8a)) = 0
((12 + -16a) + 3a * (-6 + 8a)) = 0
(12 + -16a + (-6 * 3a + 8a * 3a)) = 0
(12 + -16a + (-18a + 24a2)) = 0

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

Solving
12 + -34a + 24a2 = 0

Solving for variable 'a'.

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

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

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

Simplifying
2 + -3a = 0

Solving
2 + -3a = 0

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

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

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

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

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Subproblem 2
Set the factor '(3 + -4a)' equal to zero and attempt to solve:

Simplifying
3 + -4a = 0

Solving
3 + -4a = 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 + -4a = 0 + -3

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

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

Divide each side by '-4'.
a = 0.75

Simplifying
a = 0.75
Solution
a = {0.6666666667, 0.75}