Sometimes I prefer brute force over deriving the solution in a creative way... This is one of those times.
Originally Posted by dhiab
We must have so there are only finitely many cases to consider.
I wrote code to test these cases. Now it's not the most efficient code but hey it gets the job done.
And here is the output i.e. all solutions:
So as you can see there are solutions.
However if you disregard order there are solutions namely , as oldguynewstudent has already pointed out.
Edit: I just realized you wanted your equation solved over , not . This throws my idea right out the window...
May I ask what this is for?