(4p-2)(4p+2)=

Solution for (4p-2)(4p+2)= equation:

Simplifying
(4p + -2)(4p + 2) = 0

Reorder the terms:
(-2 + 4p)(4p + 2) = 0

Reorder the terms:
(-2 + 4p)(2 + 4p) = 0

Multiply (-2 + 4p) * (2 + 4p)
(-2(2 + 4p) + 4p * (2 + 4p)) = 0
((2 * -2 + 4p * -2) + 4p * (2 + 4p)) = 0
((-4 + -8p) + 4p * (2 + 4p)) = 0
(-4 + -8p + (2 * 4p + 4p * 4p)) = 0
(-4 + -8p + (8p + 16p2)) = 0

Combine like terms: -8p + 8p = 0
(-4 + 0 + 16p2) = 0
(-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}