\(-2x^2-4+6x=0\\ \Leftrightarrow-2\left(x^2-3x+2\right)=0\\ \Leftrightarrow x^2-3x+2=0\\ \Leftrightarrow x^2-x-2x+2=0\\ \Leftrightarrow x\left(x-1\right)-2\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
Vậy pt có tập nghiệm \(S=\left\{1;2\right\}\)