(9k-6)(6k-9)=

Solution for (9k-6)(6k-9)= equation:

Simplifying
(9k + -6)(6k + -9) = 0

Reorder the terms:
(-6 + 9k)(6k + -9) = 0

Reorder the terms:
(-6 + 9k)(-9 + 6k) = 0

Multiply (-6 + 9k) * (-9 + 6k)
(-6(-9 + 6k) + 9k * (-9 + 6k)) = 0
((-9 * -6 + 6k * -6) + 9k * (-9 + 6k)) = 0
((54 + -36k) + 9k * (-9 + 6k)) = 0
(54 + -36k + (-9 * 9k + 6k * 9k)) = 0
(54 + -36k + (-81k + 54k2)) = 0

Combine like terms: -36k + -81k = -117k
(54 + -117k + 54k2) = 0

Solving
54 + -117k + 54k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '9'.
9(6 + -13k + 6k2) = 0

Factor a trinomial.
9((2 + -3k)(3 + -2k)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(2 + -3k)' equal to zero and attempt to solve:

Simplifying
2 + -3k = 0

Solving
2 + -3k = 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 + -3k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3k = 0 + -2
-3k = 0 + -2

Combine like terms: 0 + -2 = -2
-3k = -2

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Subproblem 2
Set the factor '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {0.6666666667, 1.5}