8(p^2)-1=-0.5

Solution for 8(p^2)-1=-0.5 equation:

Simplifying
8(p2) + -1 = -0.5

Reorder the terms:
-1 + 8p2 = -0.5

Solving
-1 + 8p2 = -0.5

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 = -0.5 + 1

Combine like terms: -1 + 1 = 0
0 + 8p2 = -0.5 + 1
8p2 = -0.5 + 1

Combine like terms: -0.5 + 1 = 0.5
8p2 = 0.5

Divide each side by '8'.
p2 = 0.0625

Simplifying
p2 = 0.0625

Take the square root of each side:
p = {-0.25, 0.25}