(5k-6)(3k-3)=

Solution for (5k-6)(3k-3)= equation:

Simplifying
(5k + -6)(3k + -3) = 0

Reorder the terms:
(-6 + 5k)(3k + -3) = 0

Reorder the terms:
(-6 + 5k)(-3 + 3k) = 0

Multiply (-6 + 5k) * (-3 + 3k)
(-6(-3 + 3k) + 5k * (-3 + 3k)) = 0
((-3 * -6 + 3k * -6) + 5k * (-3 + 3k)) = 0
((18 + -18k) + 5k * (-3 + 3k)) = 0
(18 + -18k + (-3 * 5k + 3k * 5k)) = 0
(18 + -18k + (-15k + 15k2)) = 0

Combine like terms: -18k + -15k = -33k
(18 + -33k + 15k2) = 0

Solving
18 + -33k + 15k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -11k + 5k2) = 0

Factor a trinomial.
3((1 + -1k)(6 + -5k)) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(6 + -5k)' equal to zero and attempt to solve:

Simplifying
6 + -5k = 0

Solving
6 + -5k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5k = 0 + -6
-5k = 0 + -6

Combine like terms: 0 + -6 = -6
-5k = -6

Divide each side by '-5'.
k = 1.2

Simplifying
k = 1.2
Solution
k = {1, 1.2}