Cubic and Quartics, solving methods?

[PrudensOptimus]

Main Question or Discussion Point

Instead of long ass "formulas" for Cubic and Quartics equations, can someone give some solving techniques? Perhaps in the end attach the formula just in case your hand gets itchy?

 

[lethe]

cubic

 

[Allegro]

Cubics and quartics

You can also use a numerical method,for instance the Newton-Raphson method, see:
http://www.sosmath.com/calculus/diff/der07/der07.html

 

[lethe]

if you don t want help, don t ask for it.

Edit: This post is a reply to an impolite comment by Prudens that has since been deleted.