(5k-4)(2k-6)=

Solution for (5k-4)(2k-6)= equation:

Simplifying
(5k + -4)(2k + -6) = 0

Reorder the terms:
(-4 + 5k)(2k + -6) = 0

Reorder the terms:
(-4 + 5k)(-6 + 2k) = 0

Multiply (-4 + 5k) * (-6 + 2k)
(-4(-6 + 2k) + 5k * (-6 + 2k)) = 0
((-6 * -4 + 2k * -4) + 5k * (-6 + 2k)) = 0
((24 + -8k) + 5k * (-6 + 2k)) = 0
(24 + -8k + (-6 * 5k + 2k * 5k)) = 0
(24 + -8k + (-30k + 10k2)) = 0

Combine like terms: -8k + -30k = -38k
(24 + -38k + 10k2) = 0

Solving
24 + -38k + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -19k + 5k2) = 0

Factor a trinomial.
2((4 + -5k)(3 + -1k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -5k)' equal to zero and attempt to solve:

Simplifying
4 + -5k = 0

Solving
4 + -5k = 0

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

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

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

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

Divide each side by '-5'.
k = 0.8

Simplifying
k = 0.8
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 = {0.8, 3}