# How do you solve 13n-n^2=0?

Mar 31, 2016

The solutions are:

color(blue)( n =0

 color(blue)(n =13

#### Explanation:

$13 n - {n}^{2} = 0$

Multiplying the entire equation by $- 1$:

${n}^{2} - 13 n = 0$

$n$ is common to both terms of the L.H.S :

$n \left(n - 13\right) = 0$

Equating each of the factors to zero, we obtain the solutions:

color(blue)( n =0

 n - 13 =0, color(blue)(n =13

Mar 31, 2016

$n = 0 \mathmr{and} n = 13$
$n \left(13 - n\right) = 0$
$\therefore n = 0 \mathmr{and} n = 13$