The equation is .

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

First .

Second h + 5 = 0.

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

h + 55 = 05           (Subtract 5 from each side)

h + 0 = 05                 (Apply additive inverse property: 55 = 0)

h = 5                          (Apply additive identity property: h + 0 = h, 0 5 = 5)

Check:

To check the solution substitute h = 0 in .

                             (Zero product property: )

The first solution h = 0 is true.

To check the solution substitute h = 5 in .

                (Apply additive inverse property: 5 + 5 = 0)

                             (Zero product property: )

The first solution n = 5 is true.

The values of h = 0, 5.