\(3x^2+4x-4=0\)
\(3x^2+6x-2x-4=0\)
\(3x\left(x+2\right)-2\left(x+2\right)=0\)
\(\left(x+2\right)\left(3x-2\right)=0\)
\(\left[{}\begin{matrix}x=-2\\x=\dfrac{2}{3}\end{matrix}\right.\)
\(3x^2+4x-4=0\)
\(\Leftrightarrow\)\(3x^2-6x+2x-4=0\)
\(\Leftrightarrow3x\left(x-2\right)+2\left(x-2\right)=0\)
\(\Leftrightarrow\left(3x+2\right)\left(x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3x+2=0\\x-2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{-2}{3}\\x=2\end{matrix}\right.\)