-3p^2+1=0

Solution for -3p^2+1=0 equation:

Simplifying
-3p2 + 1 = 0

Reorder the terms:
1 + -3p2 = 0

Solving
1 + -3p2 = 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 + -3p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p2 = 0 + -1
-3p2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3p2 = -1

Divide each side by '-3'.
p2 = 0.3333333333

Simplifying
p2 = 0.3333333333

Take the square root of each side:
p = {-0.577350269, 0.577350269}