I'm having trouble finding the eigenvalues of a 3*3 matrix.

I know how to find them for a 2*2 matrix, but when its a 3*3 I get completely lost.

If I have the following matrix

$\displaystyle \begin{bmatrix}a&b&c\\d&e&f\\g&h&i \end{bmatrix}$

so

$\displaystyle \begin{bmatrix}a - \lambda &b&c\\d&e-\lambda &f\\g&h&i - \lambda \end{bmatrix}$

how then is the quickest and easiest method to find the eigenvalues?