6(9k^2-4)=0

Solution for 6(9k^2-4)=0 equation:

Simplifying
6(9k2 + -4) = 0

Reorder the terms:
6(-4 + 9k2) = 0
(-4 * 6 + 9k2 * 6) = 0
(-24 + 54k2) = 0

Solving
-24 + 54k2 = 0

Solving for variable 'k'.

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

Add '24' to each side of the equation.
-24 + 24 + 54k2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 54k2 = 0 + 24
54k2 = 0 + 24

Combine like terms: 0 + 24 = 24
54k2 = 24

Divide each side by '54'.
k2 = 0.4444444444

Simplifying
k2 = 0.4444444444

Take the square root of each side:
k = {-0.666666667, 0.666666667}