This work address the problem of round-off errors in the analytical solution (Cardano's Method) of cubic equations of state inside the simulation of chemical processes in the low-temperature region, as it is the case of cryogenic processes involving hydrates calculations. It is proposed as a strategy that can be taken as an iterative refinement of the solution obtained by the analytical method and allows one to take advantage of the calculations fulfilled in the application of the analytical solution (Cardano's Method). Numerical experimentations are presented in order to show the application of the proposed strategy.