81x^2-w^2x^2=0

Solution for 81x^2-w^2x^2=0 equation:

Simplifying
81x2 + -1w2x2 = 0

Reorder the terms:
-1w2x2 + 81x2 = 0

Solving
-1w2x2 + 81x2 = 0

Solving for variable 'w'.

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

Add '-81x2' to each side of the equation.
-1w2x2 + 81x2 + -81x2 = 0 + -81x2

Combine like terms: 81x2 + -81x2 = 0
-1w2x2 + 0 = 0 + -81x2
-1w2x2 = 0 + -81x2
Remove the zero:
-1w2x2 = -81x2

Divide each side by '-1x2'.
w2 = 81

Simplifying
w2 = 81

Take the square root of each side:
w = {-9, 9}