How to describe the partition for the given equivalence relation? The equivalence relation I am given is: 
$xRy$ iff $x^2=y^2$
I am asked to describe the partition and write it out.
I started by looking at say both $x$ and $y$ can either be negative of positive. Then I concluded that $-x=y$ or $x=y$ but I am not too sure where to go from there.

If you need to find the equivalence class for each element:
For $x \in \mathbb{R}$, $[x]=\{y/|y|=|x|\}$.
