(p+1)(p-3)=0

Solution for (p+1)(p-3)=0 equation:

Simplifying
(p + 1)(p + -3) = 0

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

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

Multiply (1 + p) * (-3 + p)
(1(-3 + p) + p(-3 + p)) = 0
((-3 * 1 + p * 1) + p(-3 + p)) = 0
((-3 + 1p) + p(-3 + p)) = 0
(-3 + 1p + (-3 * p + p * p)) = 0
(-3 + 1p + (-3p + p2)) = 0

Combine like terms: 1p + -3p = -2p
(-3 + -2p + p2) = 0

Solving
-3 + -2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -1p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve:

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1p = 0 + 1
-1p = 0 + 1

Combine like terms: 0 + 1 = 1
-1p = 1

Divide each side by '-1'.
p = -1

Simplifying
p = -1
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {-1, 3}