y^2-9w^2=0

Solution for y^2-9w^2=0 equation:

Simplifying
y2 + -9w2 = 0

Reorder the terms:
-9w2 + y2 = 0

Solving
-9w2 + y2 = 0

Solving for variable 'w'.

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

Add '-1y2' to each side of the equation.
-9w2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-9w2 + 0 = 0 + -1y2
-9w2 = 0 + -1y2
Remove the zero:
-9w2 = -1y2

Divide each side by '-9'.
w2 = 0.1111111111y2

Simplifying
w2 = 0.1111111111y2

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