Question

2x² +3x=0

Answer 1

Answer 2

\(\Leftrightarrow x\left(2x+3\right)=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=-\dfrac{3}{2}\end{matrix}\right.\)

Answer 3

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