a) \(4x\left(x+1\right)-x-1\\ \Rightarrow\left(4x-1\right)\left(x+1\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=-1\end{matrix}\right.\)
b) \(x^3-4x^2+4x=0\\ \Rightarrow x\left(x^2-4x+4\right)=0\\ \Rightarrow x\left(x-2\right)^2=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
c) \(x^2-3x+2=0\\ \Rightarrow\left(x-2x\right)-\left(x-2\right)=0\\ \Rightarrow x\left(x-2\right)-\left(x-2\right)=0\\ \Rightarrow\left(x-1\right)\left(x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
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