Ta có: \(3x^2+5x-8=0\)
\(\Leftrightarrow3x^2-3x+8x-8=0\)
\(\Leftrightarrow3x\left(x-1\right)+8\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(3x+8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\3x+8=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{-8}{3}\end{matrix}\right.\)
Vậy: \(S=\left\{1;\dfrac{-8}{3}\right\}\)