  Recently one and two-parameter deformed Einstein equations have been studied
for extremal quantum black holes which have been proposed to obey deformed
statistics by Strominger. In this study, we give a deeper insight to the
deformed Einstein equations and consider the solutions of these equations for
the extremal quantum black holes. We then represent the implications of the
solutions, such that the deformation parameters lead the charged black holes to
have a smaller mass than the usual Reissner-Nordstr\"om black holes. This
reduction in mass of a usual black hole can be considered as a transition from
classical to quantum black hole regime.
