# How to find roots of cubic equation?

The roots of equation \begin{equation*}36x^3+72x^2+23x-5=0\end{equation*} are $\alpha$, $\beta$ and $\gamma$. Find a cubic equation with numerical coefficients, which has the roots 6$\alpha-1$, 6$\beta-1$ and 6$\gamma-1$ without solving for $\alpha$, $\beta$ or $\gamma$.