\(\left(5x+1\right)^2=\dfrac{36}{25}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{5}\\5x+1=-\dfrac{6}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}5x=\dfrac{1}{5}\\5x=-\dfrac{11}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{25}\\x=-\dfrac{11}{25}\end{matrix}\right.\)