(12x-6)*(12x-6)=

Solution for (12x-6)*(12x-6)= equation:

Simplifying
(12x + -6)(12x + -6) = 0

Reorder the terms:
(-6 + 12x)(12x + -6) = 0

Reorder the terms:
(-6 + 12x)(-6 + 12x) = 0

Multiply (-6 + 12x) * (-6 + 12x)
(-6(-6 + 12x) + 12x * (-6 + 12x)) = 0
((-6 * -6 + 12x * -6) + 12x * (-6 + 12x)) = 0
((36 + -72x) + 12x * (-6 + 12x)) = 0
(36 + -72x + (-6 * 12x + 12x * 12x)) = 0
(36 + -72x + (-72x + 144x2)) = 0

Combine like terms: -72x + -72x = -144x
(36 + -144x + 144x2) = 0

Solving
36 + -144x + 144x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + -4x + 4x2) = 0

Factor a trinomial.
36((1 + -2x)(1 + -2x)) = 0

Ignore the factor 36.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

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

Simplifying
x = 0.5
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

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

Simplifying
x = 0.5
Solution
x = {0.5, 0.5}