3x^2-27w^2=0

Solution for 3x^2-27w^2=0 equation:

Simplifying
3x2 + -27w2 = 0

Reorder the terms:
-27w2 + 3x2 = 0

Solving
-27w2 + 3x2 = 0

Solving for variable 'w'.

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

Add '-3x2' to each side of the equation.
-27w2 + 3x2 + -3x2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-27w2 + 0 = 0 + -3x2
-27w2 = 0 + -3x2
Remove the zero:
-27w2 = -3x2

Divide each side by '-27'.
w2 = 0.1111111111x2

Simplifying
w2 = 0.1111111111x2

Take the square root of each side:
w = {-0.333333333x, 0.333333333x}