Solution of Potts-3 and Potts-∞ matrix models with the equations of motion method

In this letter, we show how one can solve easily the Potts-3 + branching interactions and Potts-∞ matrix models, by the means of the equations of motion (loop equations). We give an algebraic equation for the resolvents of these models, and their scaling behaviour. This shows that the equations of motion can be a useful tool for solving such models.