$(4x+2)(x²-1)=0$
\(\leftrightarrow\left[ \begin{array}{l}4x+2=0\\x²-1=0\end{array} \right.\) \(\leftrightarrow\left[ \begin{array}{l}4x=-2\\x²=1\end{array} \right.\) \(\leftrightarrow\left[ \begin{array}{l}x=-\dfrac{1}{2}\\x=\pm 1\end{array} \right.\)
Vậy pt có tập nghiệm $S=\bigg\{-\dfrac{1}{2};1;-1\bigg\}$