# How do you solve #|x|=-5x+24# and find any extraneous solutions?

##### 1 Answer

#### Answer:

The piecewise definition of

Check.

#### Explanation:

Separate

Add 5x to both sides of both equations:

Divide the first equation by 6 and the second equation by 4:

We must discard the

If we had not included the domain restrictions, we would have discovered the extraneous root by performing the check.

Check:

Only the