Is this diophantine equation solvable,if solvable how do I solve it-
I do not believe there is any solution to that in integers.
In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
So the equation has no real solutions in x (let alone integer ones).