(3k-6)(8k-1)=

Solution for (3k-6)(8k-1)= equation:

Simplifying
(3k + -6)(8k + -1) = 0

Reorder the terms:
(-6 + 3k)(8k + -1) = 0

Reorder the terms:
(-6 + 3k)(-1 + 8k) = 0

Multiply (-6 + 3k) * (-1 + 8k)
(-6(-1 + 8k) + 3k * (-1 + 8k)) = 0
((-1 * -6 + 8k * -6) + 3k * (-1 + 8k)) = 0
((6 + -48k) + 3k * (-1 + 8k)) = 0
(6 + -48k + (-1 * 3k + 8k * 3k)) = 0
(6 + -48k + (-3k + 24k2)) = 0

Combine like terms: -48k + -3k = -51k
(6 + -51k + 24k2) = 0

Solving
6 + -51k + 24k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -17k + 8k2) = 0

Factor a trinomial.
3((1 + -8k)(2 + -1k)) = 0

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

Simplifying
1 + -8k = 0

Solving
1 + -8k = 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 + -8k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8k = 0 + -1
-8k = 0 + -1

Combine like terms: 0 + -1 = -1
-8k = -1

Divide each side by '-8'.
k = 0.125

Simplifying
k = 0.125
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {0.125, 2}