(4k-5)(6k-6)=

Solution for (4k-5)(6k-6)= equation:

Simplifying
(4k + -5)(6k + -6) = 0

Reorder the terms:
(-5 + 4k)(6k + -6) = 0

Reorder the terms:
(-5 + 4k)(-6 + 6k) = 0

Multiply (-5 + 4k) * (-6 + 6k)
(-5(-6 + 6k) + 4k * (-6 + 6k)) = 0
((-6 * -5 + 6k * -5) + 4k * (-6 + 6k)) = 0
((30 + -30k) + 4k * (-6 + 6k)) = 0
(30 + -30k + (-6 * 4k + 6k * 4k)) = 0
(30 + -30k + (-24k + 24k2)) = 0

Combine like terms: -30k + -24k = -54k
(30 + -54k + 24k2) = 0

Solving
30 + -54k + 24k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -9k + 4k2) = 0

Factor a trinomial.
6((1 + -1k)(5 + -4k)) = 0

Ignore the factor 6.
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 '(5 + -4k)' equal to zero and attempt to solve:

Simplifying
5 + -4k = 0

Solving
5 + -4k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4k = 0 + -5
-4k = 0 + -5

Combine like terms: 0 + -5 = -5
-4k = -5

Divide each side by '-4'.
k = 1.25

Simplifying
k = 1.25
Solution
k = {1, 1.25}