# How do you solve by factoring n^2+ 2n -24 =0?

Jan 10, 2017

See full process for solving the problem below:

#### Explanation:

You need to play with multiples of 24 (1x24, 2x12, 3x8, 4x6) for the constant term which add to $2$ for the $n$ term to factor:

$\left(n + 6\right) \left(n - 4\right) = 0$

We can now solve each term for $0$.

Solution 1)

$n + 6 = 0$

$n + 6 - \textcolor{red}{6} = 0 - \textcolor{red}{6}$

$n + 0 = - 6$

$n = - 6$

Solution 2)

$n - 4 = 0$

$n - 4 + \textcolor{red}{4} = 0 + \textcolor{red}{4}$

$n - 0 = 4$

$n = 4$

The solution is $n = - 6$ and $n = 4$