Based on Tartaglia's formula, Cardan and Ferrari, his assistant, made remarkable progress finding proofs of all cases of the cubic and, even more impressively, solving the quartic equation . Tartaglia made no move to publish his formula despite the fact that, by now, it had become well known that such a method existed.
Batay sa Tartaglia's formula, kardan at Ferrari, ang kanyang assistant, ginawa kapuna-puna-unlad ng paghanap ng proofs ng lahat ng mga kaso ng kubiko at, kahit more impressively, nilulutas ang quartic equation. Tartaglia ginawa walang ilipat na mag-publish ng kanyang formula sa kabila ng katotohanan na, sa ngayon, ito ay maging mahusay na kilala na tulad ng isang paraan nabuhay.