The two distinct roots to the equation$$(x-5)(2x+9) = 0$$are $p$ and $q.$ What is $(p + 3)(q + 3)$?
The roots are 5 and -9/2
Can you take it from there ????
Alternatively you could solve for a polynomial whose roots are \(p+3\) and \(q+3\) and then use Vieta's.