Transformation In modulus

I have come across something similar to this question before.

Solve equation
x|x|=x²

So, first of all, cancel out x from both sides

I now have |x|=x

Therefore, -x= x and x=x
So,

-x=x ——> 0=2x , therefore x=0 and then x=x, well just cancels out.

Eh, what’s going on here lol

What’s to solve?