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

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

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

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

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

Multiply (-3 + 6a) * (-3 + 6a)
(-3(-3 + 6a) + 6a * (-3 + 6a)) = 0
((-3 * -3 + 6a * -3) + 6a * (-3 + 6a)) = 0
((9 + -18a) + 6a * (-3 + 6a)) = 0
(9 + -18a + (-3 * 6a + 6a * 6a)) = 0
(9 + -18a + (-18a + 36a2)) = 0

Combine like terms: -18a + -18a = -36a
(9 + -36a + 36a2) = 0

Solving
9 + -36a + 36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9'.
9(1 + -4a + 4a2) = 0

Factor a trinomial.
9((1 + -2a)(1 + -2a)) = 0

Ignore the factor 9.
Subproblem 1
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
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 = {0.5, 0.5}