9u^2-v^2=0

Solution for 9u^2-v^2=0 equation:

Simplifying
9u2 + -1v2 = 0

Solving
9u2 + -1v2 = 0

Solving for variable 'u'.

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

Add 'v2' to each side of the equation.
9u2 + -1v2 + v2 = 0 + v2

Combine like terms: -1v2 + v2 = 0
9u2 + 0 = 0 + v2
9u2 = 0 + v2
Remove the zero:
9u2 = v2

Divide each side by '9'.
u2 = 0.1111111111v2

Simplifying
u2 = 0.1111111111v2

Take the square root of each side:
u = {-0.333333333v, 0.333333333v}