Answer to Question #273394 in Math for 123

Question

Derive the Cardano-Tartaglia formula $x= \sqrt[3]{\frac{n}{2}+\sqrt{(\frac{n}{2})^2+(\frac{m}{3})^3}} - \sqrt[3]{\frac{-n}{2}+\sqrt{(\frac{n}{2})^2+(\frac{m}{3})^3}}$ for solving cubic x³+mx=n