8p^2-1=0

Solution for 8p^2-1=0 equation:

Simplifying
8p2 + -1 = 0

Reorder the terms:
-1 + 8p2 = 0

Solving
-1 + 8p2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 8p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8p2 = 0 + 1
8p2 = 0 + 1

Combine like terms: 0 + 1 = 1
8p2 = 1

Divide each side by '8'.
p2 = 0.125

Simplifying
p2 = 0.125

Take the square root of each side:
p = {-0.353553391, 0.353553391}