The talk will demonstrate an approach to obtaining universal equations that allow summing an infinite series of singular and logarithmic contributions in an arbitrary local quantum field theory in an arbitrary order of perturbation theory. Next, this approach will be demonstrated using the example of an arbitrary scalar effective potential and a set of graphical rules for writing general equations in arbitrary order of perturbation theory for this model will be described. The resulting equations, except for the equation for the leading contributions, turn out to be linear. Since these equations are absolutely general, they contain, to their limit, the perturbative behavior of a distinguished class of models called renormalizable. However, as is well known, the equation for the running coupling in the renormalized theory is nonlinear. The resolution of this contradiction leads to interesting, previously unknown solutions in a renormalizable model.