12w^2-27=0

Solution for 12w^2-27=0 equation:

Simplifying
12w2 + -27 = 0

Reorder the terms:
-27 + 12w2 = 0

Solving
-27 + 12w2 = 0

Solving for variable 'w'.

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

Add '27' to each side of the equation.
-27 + 27 + 12w2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 12w2 = 0 + 27
12w2 = 0 + 27

Combine like terms: 0 + 27 = 27
12w2 = 27

Divide each side by '12'.
w2 = 2.25

Simplifying
w2 = 2.25

Take the square root of each side:
w = {-1.5, 1.5}