(6k-1)(8k-4)=

Solution for (6k-1)(8k-4)= equation:

Simplifying
(6k + -1)(8k + -4) = 0

Reorder the terms:
(-1 + 6k)(8k + -4) = 0

Reorder the terms:
(-1 + 6k)(-4 + 8k) = 0

Multiply (-1 + 6k) * (-4 + 8k)
(-1(-4 + 8k) + 6k * (-4 + 8k)) = 0
((-4 * -1 + 8k * -1) + 6k * (-4 + 8k)) = 0
((4 + -8k) + 6k * (-4 + 8k)) = 0
(4 + -8k + (-4 * 6k + 8k * 6k)) = 0
(4 + -8k + (-24k + 48k2)) = 0

Combine like terms: -8k + -24k = -32k
(4 + -32k + 48k2) = 0

Solving
4 + -32k + 48k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -8k + 12k2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -6k)' equal to zero and attempt to solve:

Simplifying
1 + -6k = 0

Solving
1 + -6k = 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 + -6k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6k = 0 + -1
-6k = 0 + -1

Combine like terms: 0 + -1 = -1
-6k = -1

Divide each side by '-6'.
k = 0.1666666667

Simplifying
k = 0.1666666667
Subproblem 2
Set the factor '(1 + -2k)' equal to zero and attempt to solve:

Simplifying
1 + -2k = 0

Solving
1 + -2k = 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 + -2k = 0 + -1

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

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

Divide each side by '-2'.
k = 0.5

Simplifying
k = 0.5
Solution
k = {0.1666666667, 0.5}