8k^2-6=0

Solution for 8k^2-6=0 equation:

Simplifying
8k2 + -6 = 0

Reorder the terms:
-6 + 8k2 = 0

Solving
-6 + 8k2 = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 6 + 8k2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8k2 = 0 + 6
8k2 = 0 + 6

Combine like terms: 0 + 6 = 6
8k2 = 6

Divide each side by '8'.
k2 = 0.75

Simplifying
k2 = 0.75

Take the square root of each side:
k = {-0.866025404, 0.866025404}