Can you use Expedient in a sentence?

Expediate is not a proper Word. It is a common misconstruction of the Word expedite. However, many people still use it so an example sentence would be:

Although the company had problems before with Tom, his irresponsible actions expediated his being fired from the company.


But keep in mind, the Word expediate is not really even a Word so do not frequent using it.
Hope this answered the question.