(4p+1)(4p-1)=

Solution for (4p+1)(4p-1)= equation:

Simplifying
(4p + 1)(4p + -1) = 0

Reorder the terms:
(1 + 4p)(4p + -1) = 0

Reorder the terms:
(1 + 4p)(-1 + 4p) = 0

Multiply (1 + 4p) * (-1 + 4p)
(1(-1 + 4p) + 4p * (-1 + 4p)) = 0
((-1 * 1 + 4p * 1) + 4p * (-1 + 4p)) = 0
((-1 + 4p) + 4p * (-1 + 4p)) = 0
(-1 + 4p + (-1 * 4p + 4p * 4p)) = 0
(-1 + 4p + (-4p + 16p2)) = 0

Combine like terms: 4p + -4p = 0
(-1 + 0 + 16p2) = 0
(-1 + 16p2) = 0

Solving
-1 + 16p2 = 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 + 16p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16p2 = 0 + 1
16p2 = 0 + 1

Combine like terms: 0 + 1 = 1
16p2 = 1

Divide each side by '16'.
p2 = 0.0625

Simplifying
p2 = 0.0625

Take the square root of each side:
p = {-0.25, 0.25}