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In this article, we present a new derivative free simultaneous method for determining all the distinct roots of non-linear equations. A modification in Weierstrass correction is used to construct eight order derivative free simultaneous method, using only three function evaluation per cycle. Convergence analysis proved that the order of convergance of derivative free simultaneous method is eight and has a better computational efficiency as compared to other simultaneous methods in the literature. Numerical test examples are provided to validate the performance and efficiency of the newly constructed derivative free simultaneous method