\(\left(3x-1,5\right).\left(\frac{-1}{2}x+5\right)=0\)
\(\Leftrightarrow-\frac{3}{2}x^2+15x+\frac{3}{4}x-\frac{15}{2}=0\)
\(\Leftrightarrow-\frac{3}{2}x^2+\frac{63}{4}x-\frac{15}{2}=0\)
\(\Leftrightarrow-6x^2+63x-30=0\)
\(\Leftrightarrow2x^2-21x+10=0\)
\(\Leftrightarrow2x^2-20x-x+10=0\)
\(\Leftrightarrow2x\left(x-10\right)-\left(x-10\right)=0\)
\(\Leftrightarrow\left(x-10\right)\left(2x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-10=0\\2x-1=0\end{cases}}\) \(\orbr{\begin{cases}x=10\\x=\frac{1}{2}\end{cases}}\)
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