81v^2-64p^2=0

Solution for 81v^2-64p^2=0 equation:

Simplifying
81v2 + -64p2 = 0

Reorder the terms:
-64p2 + 81v2 = 0

Solving
-64p2 + 81v2 = 0

Solving for variable 'p'.

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

Add '-81v2' to each side of the equation.
-64p2 + 81v2 + -81v2 = 0 + -81v2

Combine like terms: 81v2 + -81v2 = 0
-64p2 + 0 = 0 + -81v2
-64p2 = 0 + -81v2
Remove the zero:
-64p2 = -81v2

Divide each side by '-64'.
p2 = 1.265625v2

Simplifying
p2 = 1.265625v2

Take the square root of each side:
p = {-1.125v, 1.125v}