Upside Down

Algebra Level 3

Given that \(a,b\) and \(c\) are non-zero numbers satisfying \(\dfrac 1a + \dfrac 1b + \dfrac1c = 0 \), calculate

\[\dfrac{bc}{a^{2}} + \dfrac{ac}{b^{2}} + \dfrac{ab}{c^{2}}. \]

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