# How do you solve (5n - 1) (n+1) = 0 by factoring?

Aug 17, 2015

The solutions are
color(blue)(n=1/5, n=-1

#### Explanation:

 (5n−1)(n+1)=0
This is the factorised form for the equation $5 {n}^{2} + 4 n - 1 = 0$

Since we already have the factors we simply equate them to the R.H.S:
 5n−1=0, color(blue)(n=1/5

 n+1=0, color(blue)(n=-1