Relation and proving reflexivity The relation R is defined on integers by $xRy$ if and only if $x^2y=ymod6$.
Prove that $R$ is reflexive. 
So far I have: 
Let $x=y$
$x^2x=xmod6$
I don't know how to go from here... because $x^2=0mod6$ is not true...

Hint: We have
$$x^3-x=x(x-1)(x+1)$$
so for three consecutive numbers certainly there is one multiple of $2$ and another multiple of $3$.
