10p^2-1=0

Solution for 10p^2-1=0 equation:

Simplifying
10p2 + -1 = 0

Reorder the terms:
-1 + 10p2 = 0

Solving
-1 + 10p2 = 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 + 10p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10p2 = 0 + 1
10p2 = 0 + 1

Combine like terms: 0 + 1 = 1
10p2 = 1

Divide each side by '10'.
p2 = 0.1

Simplifying
p2 = 0.1

Take the square root of each side:
p = {-0.316227766, 0.316227766}