\(3x^2-15x=2x^2\left(5-x\right)\)
\(\Leftrightarrow3x\left(x-5\right)-2x^2\left(5-x\right)=0\)
\(\Leftrightarrow3x\left(x-5\right)+2x^2\left(x-5\right)=0\)
\(\Leftrightarrow x\left(x-5\right)\left(2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-5=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=\dfrac{-3}{2}\end{matrix}\right.\)
\(\Rightarrow S=\left\{0;5;\dfrac{-3}{2}\right\}\)
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