Roots and Coefficients of Quadratics

Consider a quadratic equation of the form:

$$ax^2 + bx + c = 0$$

where $a$, $b$, and $c$ are real numbers. Given that the sum of the roots of the quadratic equation is $-p$ and the product of its roots is $q$, express the quantity $a + b + c$ in terms of $p$ and $q$. If you are provided with $p = 5$ and $q = 6$, find the value of $a + b + c$ in the form of a grid-in.