(3k-6)(3k-6)=

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

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

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

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

Multiply (-6 + 3k) * (-6 + 3k)
(-6(-6 + 3k) + 3k * (-6 + 3k)) = 0
((-6 * -6 + 3k * -6) + 3k * (-6 + 3k)) = 0
((36 + -18k) + 3k * (-6 + 3k)) = 0
(36 + -18k + (-6 * 3k + 3k * 3k)) = 0
(36 + -18k + (-18k + 9k2)) = 0

Combine like terms: -18k + -18k = -36k
(36 + -36k + 9k2) = 0

Solving
36 + -36k + 9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + -4k + k2) = 0

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

Ignore the factor 9.
Subproblem 1
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

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

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

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

Divide each side by '-1'.
k = 2

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

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

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

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

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

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {2, 2}