Attempts to generalise Gordan 's work to systems with more than two variables failed since the computational difficulties were too great. Hilbert himself tried at first to follow Gordan 's approach but soon realised that a new line of attack was necessary.
Pagtatangka upang generalise Gordan 's trabaho sa system na may higit sa dalawang variable ay nabigo dahil sa computational problema ay masyadong malaki. Hilbert kanyang sarili tried sa unang upang sundin Gordan 's diskarte ngunit sa lalong madaling panahon realised na ng isang bagong linya ng atake ay kinakailangan.