Respuesta :

Divide each side by -8:

[tex] \frac{ - 8(5n - 2)}{ - 8} = \frac{0}{ - 8} [/tex]
[tex]5n - 2 = 0[/tex]

Find n:
[tex]5n = 2[/tex]
[tex]n = \frac{2}{5} [/tex]

Answer:

The roots are {0, 2/5}.

Step-by-step 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}.