(p-3)(p+3)=0

Solution for (p-3)(p+3)=0 equation:

Simplifying
(p + -3)(p + 3) = 0

Reorder the terms:
(-3 + p)(p + 3) = 0

Reorder the terms:
(-3 + p)(3 + p) = 0

Multiply (-3 + p) * (3 + p)
(-3(3 + p) + p(3 + p)) = 0
((3 * -3 + p * -3) + p(3 + p)) = 0
((-9 + -3p) + p(3 + p)) = 0
(-9 + -3p + (3 * p + p * p)) = 0
(-9 + -3p + (3p + p2)) = 0

Combine like terms: -3p + 3p = 0
(-9 + 0 + p2) = 0
(-9 + p2) = 0

Solving
-9 + p2 = 0

Solving for variable 'p'.

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

Add '9' to each side of the equation.
-9 + 9 + p2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + p2 = 0 + 9
p2 = 0 + 9

Combine like terms: 0 + 9 = 9
p2 = 9

Simplifying
p2 = 9

Take the square root of each side:
p = {-3, 3}