Question

Use the zero-product property to solve the following equation. -8(5n-2)=0

Answer 1

The roots are {0, 2/5}.

Explanation:

-8n(5n-2)=0 can be rewritten as (-8n)(5n-2) = 0.

This, in turn, can be rewritten as -8n = 0 (which yields the root n = 0) and 5n - 2 = 0 (which yields n = 2/5.

The roots are {0, 2/5}.

Answer 2

Divide each side by -8:


`( - 8(5n - 2))/( - 8) = (0)/( - 8)`

`5n - 2 = 0`

Find n:

`5n = 2`

`n = (2)/(5)`