81v^2-49u^2=0

Solution for 81v^2-49u^2=0 equation:

Simplifying
81v2 + -49u2 = 0

Reorder the terms:
-49u2 + 81v2 = 0

Solving
-49u2 + 81v2 = 0

Solving for variable 'u'.

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

Add '-81v2' to each side of the equation.
-49u2 + 81v2 + -81v2 = 0 + -81v2

Combine like terms: 81v2 + -81v2 = 0
-49u2 + 0 = 0 + -81v2
-49u2 = 0 + -81v2
Remove the zero:
-49u2 = -81v2

Divide each side by '-49'.
u2 = 1.653061224v2

Simplifying
u2 = 1.653061224v2

Take the square root of each side:
u = {-1.285714286v, 1.285714286v}