6(w^2-3)=0

Solution for 6(w^2-3)=0 equation:

Simplifying
6(w2 + -3) = 0

Reorder the terms:
6(-3 + w2) = 0
(-3 * 6 + w2 * 6) = 0
(-18 + 6w2) = 0

Solving
-18 + 6w2 = 0

Solving for variable 'w'.

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

Add '18' to each side of the equation.
-18 + 18 + 6w2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6w2 = 0 + 18
6w2 = 0 + 18

Combine like terms: 0 + 18 = 18
6w2 = 18

Divide each side by '6'.
w2 = 3

Simplifying
w2 = 3

Take the square root of each side:
w = {-1.732050808, 1.732050808}