(5k-6)(8k-2)=

Solution for (5k-6)(8k-2)= equation:

Simplifying
(5k + -6)(8k + -2) = 0

Reorder the terms:
(-6 + 5k)(8k + -2) = 0

Reorder the terms:
(-6 + 5k)(-2 + 8k) = 0

Multiply (-6 + 5k) * (-2 + 8k)
(-6(-2 + 8k) + 5k * (-2 + 8k)) = 0
((-2 * -6 + 8k * -6) + 5k * (-2 + 8k)) = 0
((12 + -48k) + 5k * (-2 + 8k)) = 0
(12 + -48k + (-2 * 5k + 8k * 5k)) = 0
(12 + -48k + (-10k + 40k2)) = 0

Combine like terms: -48k + -10k = -58k
(12 + -58k + 40k2) = 0

Solving
12 + -58k + 40k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -29k + 20k2) = 0

Factor a trinomial.
2((1 + -4k)(6 + -5k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -4k)' equal to zero and attempt to solve:

Simplifying
1 + -4k = 0

Solving
1 + -4k = 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 + -4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4k = 0 + -1
-4k = 0 + -1

Combine like terms: 0 + -1 = -1
-4k = -1

Divide each side by '-4'.
k = 0.25

Simplifying
k = 0.25
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 = {0.25, 1.2}