\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\2x+3=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{3}{2}\end{matrix}\right.\)
Vậy \(S=\left\{1;-\dfrac{3}{2}\right\}\)
\(\left(x-1\right)\left(2x+3\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-1=0\\2x+3=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{3}{2}\end{matrix}\right.\)
(x-1)(2x+3)=0
=> x-1=0 hoặc 2x+3=0
x=1 2x=-3
\(x=-\dfrac{3}{2}\)
Vậy ..
\(\left[{}\begin{matrix}x-1=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{-3}{2}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x-1=0\\2x+3=0\end{matrix}\right.\Leftrightarrow}\left\{{}\begin{matrix}x=1\\2x=-3\end{matrix}\right.\Leftrightarrow}\left\{{}\begin{matrix}x-1\\x=\dfrac{-3}{2}\end{matrix}\right.\)
Suy ra x-1=0 hoặc 2x+3=0
(+)x-1=0 (+)2x+3=0
(+)x=1 (+)2x =(-3)
(+) x =(-3)/2
Suy ra x=1 hoặc x=(-3)/2