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

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

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

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

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

Multiply (-1 + 4k) * (-6 + 8k)
(-1(-6 + 8k) + 4k * (-6 + 8k)) = 0
((-6 * -1 + 8k * -1) + 4k * (-6 + 8k)) = 0
((6 + -8k) + 4k * (-6 + 8k)) = 0
(6 + -8k + (-6 * 4k + 8k * 4k)) = 0
(6 + -8k + (-24k + 32k2)) = 0

Combine like terms: -8k + -24k = -32k
(6 + -32k + 32k2) = 0

Solving
6 + -32k + 32k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -16k + 16k2) = 0

Factor a trinomial.
2((1 + -4k)(3 + -4k)) = 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 '(3 + -4k)' equal to zero and attempt to solve:

Simplifying
3 + -4k = 0

Solving
3 + -4k = 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 + -4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4k = 0 + -3
-4k = 0 + -3

Combine like terms: 0 + -3 = -3
-4k = -3

Divide each side by '-4'.
k = 0.75

Simplifying
k = 0.75
Solution
k = {0.25, 0.75}