Show that `x=2` is a root of the equation `|x-6-1 2-3xx-3-3 2xx+2|=0` and solve it completely.

Explanation

To show that \( x = 2 \) is a root of the equation

\[
\left| \begin{array}{ccc}
x - 6 & -1 & 2 \\
-3 & x - 3 & -3 \\
2 & x + 2 & 0
\end{array} \right| = 0
...