Divide -9n from both sides. 0 divided into anything will still be 0.
[tex]5n - 5 = 0[/tex]
Add 5 to both sides.
[tex]5n = 5[/tex]
Divide both sides by 5 to get n by itself.
[tex]n = 1[/tex]
Plug this value into the initial equation.
[tex]-9(1) * (5(1) - 5) = 0[/tex]
[tex]-9 * (5 - 5) = 0[/tex]
[tex]-9 * 0 = 0[/tex]
[tex]0 = 0[/tex]
This proves that n = 1.
Zero product property is applied when the factor (5n - 5) is set to be equal to 0.
