He found geometric solutions to all 13 forms of cubic equations.

That same year, he asked Tartaglia to explain to him his method for solving cubic equations.

He was also the first to find the general geometric solution to cubic equations.

However, they did not have a method for solving the general cubic equation.

The reduced cubic equation of state yields in that case 3 solutions.

In particular, he derived general methods for solving cubic equations and even some higher orders.

Hesse points can be used to solve cubic equations as follows.

This is equivalent to solving a certain cubic equation.

There are various ways to solve a cubic equation.

However, he gave one example of a cubic equation: