The invention comprises a method for the separation and removal of inert components, from carpet waste materials, such as from fiber flooring, rugs, carpet components, carpet material and all other textiles that contain fiber materials, both natural and synthetic or from carpet waste composed of processed carcasses comprising at least one polymeric fiber with the method comprising the steps of (a) placing the carpet waste material into an acid solvent, (b) solubilizing at least one net component of the carpet waste material by chemical reaction with the acid solvent at low pH and (c) reacting the carpet waste material in the acid solvent at a temperature corresponding to room temperature or a low ambient reaction temperature below the dissolution temperature of any of the fiberous textiles in the carpet waste such that two unique phases are simultaneously formed from the reaction with one being a liquid phase consisting of as solublized compound dissolved in water and the other comprising a stream of polymeric textile fibers in solid phase.