8kx(2k-1)=0

Solution for 8kx(2k-1)=0 equation:

Simplifying
8kx(2k + -1) = 0

Reorder the terms:
8kx(-1 + 2k) = 0
(-1 * 8kx + 2k * 8kx) = 0
(-8kx + 16k2x) = 0

Solving
-8kx + 16k2x = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8kx'.
8kx(-1 + 2k) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'kx' equal to zero and attempt to solve:

Simplifying
kx = 0

Solving
kx = 0

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

Simplifying
kx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 = {0.5}