(6a-2)(5a-4)=

Solution for (6a-2)(5a-4)= equation:

Simplifying
(6a + -2)(5a + -4) = 0

Reorder the terms:
(-2 + 6a)(5a + -4) = 0

Reorder the terms:
(-2 + 6a)(-4 + 5a) = 0

Multiply (-2 + 6a) * (-4 + 5a)
(-2(-4 + 5a) + 6a * (-4 + 5a)) = 0
((-4 * -2 + 5a * -2) + 6a * (-4 + 5a)) = 0
((8 + -10a) + 6a * (-4 + 5a)) = 0
(8 + -10a + (-4 * 6a + 5a * 6a)) = 0
(8 + -10a + (-24a + 30a2)) = 0

Combine like terms: -10a + -24a = -34a
(8 + -34a + 30a2) = 0

Solving
8 + -34a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -17a + 15a2) = 0

Factor a trinomial.
2((1 + -3a)(4 + -5a)) = 0

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

Simplifying
1 + -3a = 0

Solving
1 + -3a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 0 + -1
-3a = 0 + -1

Combine like terms: 0 + -1 = -1
-3a = -1

Divide each side by '-3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
Subproblem 2
Set the factor '(4 + -5a)' equal to zero and attempt to solve:

Simplifying
4 + -5a = 0

Solving
4 + -5a = 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 + -5a = 0 + -4

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

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

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

Simplifying
a = 0.8
Solution
a = {0.3333333333, 0.8}