\(\left(2x^2+1\right)\left(4x-3\right)=\left(2x^2+1\right)\left(x-13\right)\)
\(\Leftrightarrow\left(2x^2+1\right)\left(4x-3-x+13\right)=0\)
\(\Leftrightarrow\left(2x^2+1\right)\left(3x+10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x^2+1=0\\3x+10=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2=-\dfrac{1}{2}\left(VN\right)\\x=-\dfrac{10}{3}\end{matrix}\right.\)
\(S=\left\{-\dfrac{10}{3}\right\}\)