# Quadratic Duos

**Algebra**Level pending

\[ (x^2-2mx - 4(m^2+1))(x^2-4x-2m(m^2+1)) = 0 \]

Find all real numbers \(m\) such that the equation above has exactly three different roots. Input your answer as the sum of all possible values of \(m\).

\[ (x^2-2mx - 4(m^2+1))(x^2-4x-2m(m^2+1)) = 0 \]

Find all real numbers \(m\) such that the equation above has exactly three different roots. Input your answer as the sum of all possible values of \(m\).

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