\(a,\Leftrightarrow x^3-4x^2+4x=0\\ \Leftrightarrow x\left(x^2-4x+4\right)=0\\ \Leftrightarrow x\left(x-2\right)^2=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\\ b,\Leftrightarrow4\left(x-1\right)=3x+6\left(2x-3\right)\\ \Leftrightarrow4x-4=3x+12x-18\\ \Leftrightarrow11x=14\Leftrightarrow x=\dfrac{14}{11}\)
a/ \(x^3-4x^2=-4x\)
\(\Leftrightarrow x^3-4x^2+4x=0\)
\(\Leftrightarrow x\left(x^2-4x+4\right)=0\)
\(\Leftrightarrow x\left(x-2\right)^2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
b/ \(\dfrac{x-1}{3}=\dfrac{x}{4}+\dfrac{2x-3}{2}\)
\(\Leftrightarrow8\left(x-1\right)=6x+12\left(2x-3\right)\)
\(\Leftrightarrow8x-8=6x+24x-36\)
\(\Leftrightarrow8x-8=30x-36\)
\(\Leftrightarrow8x-30x=8-36\)
\(\Leftrightarrow-22x=-28\)
\(\Leftrightarrow x=\dfrac{14}{11}\)
