In any mathematics problem, you may follow this maxim:
Think-Rethink, Do-Redo, Check-Recheck! Then discuss the solution to someone else, but not necessarily.
This is the algorithm to find the answer to any mathematical problem.
Also read the many pieces of advice you can get from mathematicians you consider good, up to your taste. Wikipedia articles and histories of mathematicians have always been a source of delight and instruction in my not-so-yet-long mathematical endeavors.
I hope I atleast reminded you of this.