Using properties of determinants, solve the following for x: `|{:(x-2,,2x-3,,3x-4),(x-4,,2x-9,,3x-16),(x-8,,2x-27,,3x-64):}|=0`

Explanation

To solve the determinant equation

\[
\begin{vmatrix}
x - 2 & 2x - 3 & 3x - 4 \\
x - 4 & 2x - 9 & 3x - 16 \\
x - 8 & 2x - 27 & 3x - 64
\end{vmatrix} = 0,
...