a)Ta có:
\(x\left(2x+3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(tm\right)\\x=\dfrac{-3}{2}\left(ktm\right)\end{matrix}\right.\)
b) Ta có:
\(x^3-9x=0\Leftrightarrow x\left(x^2-9\right)=0\)
\(\Leftrightarrow x\left(x-3\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\left(tm\right)\\x=3\left(tm\right)\\x=-3\left(tm\right)\end{matrix}\right.\)
c)Ta có:
\(\left(x-5\right)\left(2x-6\right)=0\Leftrightarrow\left[{}\begin{matrix}x=5\left(tm\right)\\x=3\left(tm\right)\end{matrix}\right.\)