\(\Leftrightarrow x^2\left(x-1\right)^2-4\left(x-1\right)^2=0\\ \Leftrightarrow\left(x-1\right)^2\left(x^2-4\right)=0\\ \Leftrightarrow\left(x-1\right)^2\left(x-2\right)\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\\x=-2\end{matrix}\right.\)
⇔ x 2 ( x − 1 ) 2 − 4 ( x − 1 ) 2 = 0
⇔ ( x − 1 ) 2 ( x 2 − 4 ) = 0 ⇔ ( x − 1 ) 2 ( x − 2 ) ( x + 2 ) = 0
⎡ x=1
⇔ ⎢ x=2
⎣ x=−2