\(\Rightarrow\left[{}\begin{matrix}3x+5=0\\2x+\dfrac{1}{5}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}3x=-5\\2x=-\dfrac{1}{5}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{3}\\x=-\dfrac{1}{10}\end{matrix}\right.\)
\(\left(3x+5\right)\left(2x+\dfrac{1}{5}\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3x=-5\\2x=-\dfrac{1}{5}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{3}\\x=-\dfrac{1}{10}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{5}{3}\\x=-\dfrac{1}{10}\end{matrix}\right.\)