27w^2-192=0

Solution for 27w^2-192=0 equation:

Simplifying
27w2 + -192 = 0

Reorder the terms:
-192 + 27w2 = 0

Solving
-192 + 27w2 = 0

Solving for variable 'w'.

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

Add '192' to each side of the equation.
-192 + 192 + 27w2 = 0 + 192

Combine like terms: -192 + 192 = 0
0 + 27w2 = 0 + 192
27w2 = 0 + 192

Combine like terms: 0 + 192 = 192
27w2 = 192

Divide each side by '27'.
w2 = 7.111111111

Simplifying
w2 = 7.111111111

Take the square root of each side:
w = {-2.666666667, 2.666666667}