\(3x^2-12x=0\\ \Rightarrow3x\left(x-4\right)=0\\ \Rightarrow\left[{}\begin{matrix}3x=0\\x-4=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\\ \left(2x-3\right)^2-\left(x+1\right)^2=0\\ \Rightarrow\left(2x-3-x-1\right)\left(2x-3+x+1\right)=0\\ \Rightarrow\left(x-4\right)\left(3x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{2}{3}\end{matrix}\right.\)
\(3x^2-12x=0\)
\(\Rightarrow3x\left(x-4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
\(\left(2x-3\right)^2-\left(x+1\right)^2=0\)
\(\Rightarrow\left(2x-3-x-1\right)\left(2x-3+x+1\right)=0\)
\(\Rightarrow\left(x-4\right)\left(3x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{2}{3}\end{matrix}\right.\)
