determine the range of p to have distinct real roots for the following equation; $x^2+(p-q)x+(1-p-q)=0$

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$\forall q$ determine the range of p to have distinct real roots for the following equation; $$x^2+(p-q)x+(1-p-q)=0$$

My Try

$\Delta\geq0$

$(p-q)^2-4(1-p-q)\geq0$

I know I have to isolate p in this inequality to get a range for p in terms of q.

$p^2+p(4-2q)+q^2+4q-4\geq0$

How should I proceed? Please help! Thanks