Question

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

Answer 1

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

Explanation:

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