81v^2-5=-1

Solution for 81v^2-5=-1 equation:

Simplifying
81v2 + -5 = -1

Reorder the terms:
-5 + 81v2 = -1

Solving
-5 + 81v2 = -1

Solving for variable 'v'.

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

Add '5' to each side of the equation.
-5 + 5 + 81v2 = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 81v2 = -1 + 5
81v2 = -1 + 5

Combine like terms: -1 + 5 = 4
81v2 = 4

Divide each side by '81'.
v2 = 0.04938271605

Simplifying
v2 = 0.04938271605

Take the square root of each side:
v = {-0.222222222, 0.222222222}