(6a-3)(4a-1)=

Solution for (6a-3)(4a-1)= equation:

Simplifying
(6a + -3)(4a + -1) = 0

Reorder the terms:
(-3 + 6a)(4a + -1) = 0

Reorder the terms:
(-3 + 6a)(-1 + 4a) = 0

Multiply (-3 + 6a) * (-1 + 4a)
(-3(-1 + 4a) + 6a * (-1 + 4a)) = 0
((-1 * -3 + 4a * -3) + 6a * (-1 + 4a)) = 0
((3 + -12a) + 6a * (-1 + 4a)) = 0
(3 + -12a + (-1 * 6a + 4a * 6a)) = 0
(3 + -12a + (-6a + 24a2)) = 0

Combine like terms: -12a + -6a = -18a
(3 + -18a + 24a2) = 0

Solving
3 + -18a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -6a + 8a2) = 0

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

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

Simplifying
1 + -4a = 0

Solving
1 + -4a = 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 + -4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4a = 0 + -1
-4a = 0 + -1

Combine like terms: 0 + -1 = -1
-4a = -1

Divide each side by '-4'.
a = 0.25

Simplifying
a = 0.25
Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve:

Simplifying
1 + -2a = 0

Solving
1 + -2a = 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 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {0.25, 0.5}