147=3w^2

Solution for 147=3w^2 equation:

Simplifying
147 = 3w2

Solving
147 = 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.
147 + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
147 + -3w2 = 0

Add '-147' to each side of the equation.
147 + -147 + -3w2 = 0 + -147

Combine like terms: 147 + -147 = 0
0 + -3w2 = 0 + -147
-3w2 = 0 + -147

Combine like terms: 0 + -147 = -147
-3w2 = -147

Divide each side by '-3'.
w2 = 49

Simplifying
w2 = 49

Take the square root of each side:
w = {-7, 7}