How to find the roots of a sum of divisions of polynomials

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How can I find those x values in which this function becomes f(x)=0?

I have 4 vectors of length N: A, B, C, D, and

$$f(x) = \sum_{i=1}^N { x\cdot A_i - B_i \over (x\cdot C_i - D_i)^3 }$$