# How do you solve x^2+5x+4>0?

Jul 27, 2016

$\textcolor{g r e e n}{x > - 1}$ or $\textcolor{g r e e n}{x < - 4}$

#### Explanation:

Factoring the given inequality:
$\textcolor{w h i t e}{\text{XXX}} \left(x + 1\right) \left(x + 4\right) > 0$

This inequality will be true
1. if both terms are greater than $0$
$\textcolor{w h i t e}{\text{XXX}} x > - 1$

or
2. if both terms are less than $0$
$\textcolor{w h i t e}{\text{XXX}} x < - 4$