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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