# Absolute Value Equations

In this video, we will be learning how to solve absolute value equations.

***Remember*** Absolute Value is always Positive! (or zero) Therefore, some equations may have No Solution

For Example:

$|x+9|+3=12$

$|x+9|+3-3=12-3\leftarrow$ First subtract 3 to isolate the quantities in the absolute value brackets

$|x+9|=9\leftarrow$ Now remove the absolute value brackets and separate the equation into 2 cases as shown below

$x+9=9$                                    $x+9=-9$

$x+9-9=9-9$                $x+9-9=-9-9$

$x=0$                                          $x=-18$