> > > > I hereby define x/0 to be 0 for all real

> But if you define x/0 = 0, then surely 0² = x. if x is "any real number", how does this impact maths as a whole?

That's just what I defined. The accepted division doesn't define x/0=0, and for good reason. But I'm perfectly able to define a function /, which takes two reals and returns a real.

Matthew