Question

Solve equation using zero product property -9n(5n-5)=0

Answer 1

Divide -9n from both sides. 0 divided into anything will still be 0.


`5n - 5 = 0`

Add 5 to both sides.


`5n = 5`

Divide both sides by 5 to get n by itself.


`n = 1`

Plug this value into the initial equation.


`-9(1) * (5(1) - 5) = 0`


`-9 * (5 - 5) = 0`


`-9 * 0 = 0`


`0 = 0`

This proves that n = 1.

Zero product property is applied when the factor (5n - 5) is set to be equal to 0.