4p(2-(2-p))=16

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

Simplifying
4p(2 + -1(2 + -1p)) = 16
4p(2 + (2 * -1 + -1p * -1)) = 16
4p(2 + (-2 + 1p)) = 16

Combine like terms: 2 + -2 = 0
4p(0 + 1p) = 16
4p(1p) = 16

Remove parenthesis around (1p)
4p * 1p = 16

Reorder the terms for easier multiplication:
4 * 1p * p = 16

Multiply 4 * 1
4p * p = 16

Multiply p * p
4p2 = 16

Solving
4p2 = 16

Solving for variable 'p'.

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

Divide each side by '4'.
p2 = 4

Simplifying
p2 = 4

Take the square root of each side:
p = {-2, 2}