(2k-6)(6k-5)=

Solution for (2k-6)(6k-5)= equation:

Simplifying
(2k + -6)(6k + -5) = 0

Reorder the terms:
(-6 + 2k)(6k + -5) = 0

Reorder the terms:
(-6 + 2k)(-5 + 6k) = 0

Multiply (-6 + 2k) * (-5 + 6k)
(-6(-5 + 6k) + 2k * (-5 + 6k)) = 0
((-5 * -6 + 6k * -6) + 2k * (-5 + 6k)) = 0
((30 + -36k) + 2k * (-5 + 6k)) = 0
(30 + -36k + (-5 * 2k + 6k * 2k)) = 0
(30 + -36k + (-10k + 12k2)) = 0

Combine like terms: -36k + -10k = -46k
(30 + -46k + 12k2) = 0

Solving
30 + -46k + 12k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -23k + 6k2) = 0

Factor a trinomial.
2((5 + -6k)(3 + -1k)) = 0

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

Simplifying
5 + -6k = 0

Solving
5 + -6k = 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 + -6k = 0 + -5

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

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

Divide each side by '-6'.
k = 0.8333333333

Simplifying
k = 0.8333333333
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 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 + -1k = 0 + -3

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

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

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

Simplifying
k = 3
Solution
k = {0.8333333333, 3}