In this paper, an alternative method is proposed instead of the ones using semi-definite programming (SDP) tools in precoder and decoder design to solve max-min fairness (MMF) problem in the multiuser downlink multi-input-multi-output (MIMO) communication systems for common and private information transmission. This is a Hybrid method which is the combination of the two solving total signal-interference plus noise ratio (SINR) maximization (Total-SINR Max) and total MMSE (Joint-TMSE) problems and it is very advantageous than algorithms using SDP. The performance of Hybrid method in terms of the average bit error ratio (BER) and computation time is given in the simulation results.