(5k-6)(3k-8)=

Solution for (5k-6)(3k-8)= equation:

Simplifying
(5k + -6)(3k + -8) = 0

Reorder the terms:
(-6 + 5k)(3k + -8) = 0

Reorder the terms:
(-6 + 5k)(-8 + 3k) = 0

Multiply (-6 + 5k) * (-8 + 3k)
(-6(-8 + 3k) + 5k * (-8 + 3k)) = 0
((-8 * -6 + 3k * -6) + 5k * (-8 + 3k)) = 0
((48 + -18k) + 5k * (-8 + 3k)) = 0
(48 + -18k + (-8 * 5k + 3k * 5k)) = 0
(48 + -18k + (-40k + 15k2)) = 0

Combine like terms: -18k + -40k = -58k
(48 + -58k + 15k2) = 0

Solving
48 + -58k + 15k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(6 + -5k)(8 + -3k) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -3k)' equal to zero and attempt to solve:

Simplifying
8 + -3k = 0

Solving
8 + -3k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3k = 0 + -8
-3k = 0 + -8

Combine like terms: 0 + -8 = -8
-3k = -8

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667
Solution
k = {1.2, 2.666666667}