6=3w^2

Solution for 6=3w^2 equation:

Simplifying
6 = 3w2

Solving
6 = 3w2

Solving for variable 'w'.

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

Add '-3w2' to each side of the equation.
6 + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
6 + -3w2 = 0

Add '-6' to each side of the equation.
6 + -6 + -3w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3w2 = 0 + -6
-3w2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3w2 = -6

Divide each side by '-3'.
w2 = 2

Simplifying
w2 = 2

Take the square root of each side:
w = {-1.414213562, 1.414213562}