Question

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

Answer 1

Divide each side by -8:

$\frac{ - 8(5n - 2)}{ - 8} = \frac{0}{ - 8}$
$5n - 2 = 0$

Find n:
$5n = 2$
$n = \frac{2}{5}$

Answer 2

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}.