\(x+5x^2=0\\ \Leftrightarrow x\left(1+5x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\1+5x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\5x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{1}{5}\end{matrix}\right.\)
Vậy \(x=0\) hoặc \(x=-\dfrac{1}{5}\)