\(4x\left(x-2\right)+3x-6=0\\ \Rightarrow4x\left(x-2\right)+3\left(x-2\right)=0\\ \Rightarrow\left(x-2\right)\left(4x+3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-2=0\\4x+3=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{3}{4}\end{matrix}\right.\)
4x(x-2)+3(x-2)=0
*TH1: *TH2
x-2=0 4x+3=0
=>x=2 x=-3/4