2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213897In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation $$f(2x+y)+f(2x-y)=4(f(x+y)+f(x-y))-{3/7}(f(2y)-2f(y))+2f(2x)-8f(x).$$Functional Analysis39B82, 39B52Stability of a functional equation deriving from quartic and additive functionstext