Find all the integer solutions $(p, q ∈ \mathbb Z)$ of the equation:
I'm here: $$(4pq+2q^2+p^2)(q-1)=0$$
but i only got $q=1$ and with that $p$ only has solutions $\in\mathbb R$
So, the only solutions i see are $p$ = $0$ , $q$ = $0$
Am i wrong?
Also if i'm right, how can i prove that?