Giải phương trình sau: $\sqrt{9x-9}-\sqrt{4x-4}+\sqrt{16x-16}-3\sqrt{x-1}=16$

\(\)\(A = \frac{a}{{a - 2}}.\sqrt {2{{\rm{a}}^8}({a^2} - 4{\rm{a}} + 4)} \)

\(\begin{array}{l} = \frac{{a.\sqrt 2 {a^4}\left| {a - 2} \right|}}{{a - 2}}\\ = \left\{ \begin{array}{l}\frac{{a\sqrt 2 {a^4}(a - 2)}}{{a - 2}}\\\frac{{a\sqrt 2 {a^4}(2 - a)}}{{a - 2}}\end{array} \right.\\\end{array}\)khi \(\left\{ \begin{array}{l}a - 2 > 0\\a - 2 < 0\end{array} \right.\)

\( = \left\{ \begin{array}{l}\sqrt 2 {a^5}\\ - \sqrt 2 {a^5}\end{array} \right.\)khi \(\left\{ \begin{array}{l}a > 2\\a < 2\end{array} \right.\).