(2x-6)*(x-6)*3=

Solution for (2x-6)*(x-6)*3= equation:

Simplifying
(2x + -6)(x + -6) * 3 = 0

Reorder the terms:
(-6 + 2x)(x + -6) * 3 = 0

Reorder the terms:
(-6 + 2x)(-6 + x) * 3 = 0

Reorder the terms for easier multiplication:
3(-6 + 2x)(-6 + x) = 0

Multiply (-6 + 2x) * (-6 + x)
3(-6(-6 + x) + 2x * (-6 + x)) = 0
3((-6 * -6 + x * -6) + 2x * (-6 + x)) = 0
3((36 + -6x) + 2x * (-6 + x)) = 0
3(36 + -6x + (-6 * 2x + x * 2x)) = 0
3(36 + -6x + (-12x + 2x2)) = 0

Combine like terms: -6x + -12x = -18x
3(36 + -18x + 2x2) = 0
(36 * 3 + -18x * 3 + 2x2 * 3) = 0
(108 + -54x + 6x2) = 0

Solving
108 + -54x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(18 + -9x + x2) = 0

Factor a trinomial.
6((3 + -1x)(6 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3, 6}