Equations and polynomials? II (easier)

Algebra Level 3

Let reals \(a, b, c\) satisfy:

\(a+b=15,\)

\(ab+c=74,\)

\(ac=120.\)

Find the sum of all possible values of \(a\).

This is a simpler version (and a hint) of the problem Equations and Polynomials and is part of the set ... and polynomials

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