# Quadratic equation

**Algebra**Level 5

\[\displaystyle nx^2+2nx+n-9=0\]

Let \(S\) the sum of the possible values of \(n\) so that the equation above has integer solution.

Find the value of \(\lfloor{S}\rfloor\).

**Note**: \(n\) may not be an integer.

\[\displaystyle nx^2+2nx+n-9=0\]

Let \(S\) the sum of the possible values of \(n\) so that the equation above has integer solution.

Find the value of \(\lfloor{S}\rfloor\).

**Note**: \(n\) may not be an integer.

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