(y-p)(y+p)=

Solution for (y-p)(y+p)= equation:

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

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

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

Multiply (-1p + y) * (p + y)
(-1p * (p + y) + y(p + y)) = 0
((p * -1p + y * -1p) + y(p + y)) = 0

Reorder the terms:
((-1py + -1p2) + y(p + y)) = 0
((-1py + -1p2) + y(p + y)) = 0
(-1py + -1p2 + (p * y + y * y)) = 0
(-1py + -1p2 + (py + y2)) = 0

Reorder the terms:
(-1py + py + -1p2 + y2) = 0

Combine like terms: -1py + py = 0
(0 + -1p2 + y2) = 0
(-1p2 + y2) = 0

Solving
-1p2 + y2 = 0

Solving for variable 'p'.

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

Add '-1y2' to each side of the equation.
-1p2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1p2 + 0 = 0 + -1y2
-1p2 = 0 + -1y2
Remove the zero:
-1p2 = -1y2

Divide each side by '-1'.
p2 = y2

Simplifying
p2 = y2

Take the square root of each side:
p = {-1y, y}