\(\Leftrightarrow\left(x-1\right)^{x+2}\cdot\left[\left(x-1\right)^4-1\right]=0\)
=>(x-1)(x-2)x=0
hay \(x\in\left\{0;1;2\right\}\)
`(x-1)^(x+2)=(x-1)^(x+6)`
`<=>(x-1)^(x+2) - (x-1)^(x+6) =0`
`<=> (x-1)^(x+2) - (x-1)^(x+2) * (x-1)^4 =0`
`<=> (x-1)^(x+2) * ( 1 - (x-1)^4) =0`
\(\Leftrightarrow\left[{}\begin{matrix}\left(x-1\right)^{x+2}=0\\1-\left(x-1\right)^4=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\\left(x-1\right)^4=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0+1\\\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x=1\\\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\end{matrix}\right.\)
