\(\left(3.x-4\right).\left(x-1\right)^5=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-4=0\\\left(x-1\right)^5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}3x=4\\x-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{4}{3}\\x=1\end{matrix}\right.\)
Vậy : \(x\in\left\{\frac{4}{3},1\right\}\)