(16p^2-4)=0

Solution for (16p^2-4)=0 equation:

Simplifying
(16p2 + -4) = 0

Reorder the terms:
(-4 + 16p2) = 0

Remove parenthesis around (-4 + 16p2)
-4 + 16p2 = 0

Solving
-4 + 16p2 = 0

Solving for variable 'p'.

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

Add '4' to each side of the equation.
-4 + 4 + 16p2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 16p2 = 0 + 4
16p2 = 0 + 4

Combine like terms: 0 + 4 = 4
16p2 = 4

Divide each side by '16'.
p2 = 0.25

Simplifying
p2 = 0.25

Take the square root of each side:
p = {-0.5, 0.5}