The very, very first thing you should do is go back to a math class with a competent teacher and just keep attending until you figure out why your proof is incorrect.
The next thing you and your friend shoud do is get a better hobby.
Finally, if you really are interested in mathematics, you can stick with the program long enough to learn what a proof really is. A proof that some thing cannot be done does NOT mean that we're just not clever enough, or if we keep trying, we'll get it. A proof of non-existence is absolute. You will not solve this particular problem. There may be a few special cases that you can solve, but you have not solved the general case. This is because it is known that it cannot be done.