$(2x+3)^2=(2x+3)(x-1)\\\Leftrightarrow (2x+3)^2-(2x+3) (x-1)\\\Leftrightarrow (2x+3)(2x+3-x+1) =0\\\Leftrightarrow (2x+3) (x+4) =0\\\Leftrightarrow \left[\begin{array} {} 2x+3=0\\x+4=0\end{array} \right.\\\Leftrightarrow \left[\begin{array} {} x=-\dfrac{3} {2} \\x=-4\end{array}\right.$