The equation is .

Apply zero product property: If ab = 0 then a = 0, b = 0.

First .

Apply addition property of equality: If a = b then a + b = b + a.

                  (Add 4 to each side)

                        (Apply additive inverse property: )

                                    (Apply additive identity property: n + 0 = n, 0 + 4 = 4)

Second n + 2 = 0.

Apply subtraction property of equality: If a = b then a b = b  a.

n + 22 = 02                    (Subtract 2 from each side)

n + 0 = 02                         (Apply additive inverse property: 22 = 0)

n = 2                                  (Apply additive identity property: n + 0 = n, 0 2 = 2)

Check:

To check the solution substitute n = 4 in .

                      (Apply additive inverse property: )

                                      (Zero product property: )

The first solution n = 4 is true.

To check the solution substitute n = 2 in .

                      (Apply additive inverse property: 2 + 2 = 0)

                                     (Zero product property: )

The first solution n = 2 is true.

The values of n = 4, 2.