P(P+2)=3

Solution for P(P+2)=3 equation:

Simplifying
P(P + 2) = 3

Reorder the terms:
P(2 + P) = 3
(2 * P + P * P) = 3
(2P + P2) = 3

Solving
2P + P2 = 3

Solving for variable 'P'.

Reorder the terms:
-3 + 2P + P2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2P + P2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
P = {-3, 1}