\(x\cdot\left(6-x\right)^{2019}=\left(6-x\right)^{2019}\\ \Leftrightarrow x\cdot\left(6-x\right)^{2019}-\left(6-x\right)^{2019}=0\\ \Leftrightarrow\left(x-1\right)\left(6-x\right)^{2019}=0\\ \Leftrightarrow\left[{}\begin{matrix}x-1=0\\\left(6-x\right)^{2019}=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=6\end{matrix}\right.\)
Vậy x ∊ {1; 6}
\(=>x\left(6-x\right)^{2019}-\left(6-x\right)^{2019}=0\)
\(=>\left(x-1\right)\left(6-x\right)^{2019}=0\)
\(=>\left[{}\begin{matrix}x-1=0\\6-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=6\end{matrix}\right.\)