\(\dfrac{3}{7}x-1=\dfrac{1}{7}x\left(3x-7\right)\)
\(\Leftrightarrow3x-7=x\cdot\left(3x-7\right)\)
\(\Leftrightarrow3x-7-3x^2+7x=0\)
\(\Leftrightarrow-3x^2+10x-7=0\)
\(TC:a+b+c=\left(-3\right)+10-7=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{-7}{-3}=\dfrac{7}{3}\end{matrix}\right.\)
\(S=\left\{1,\dfrac{7}{3}\right\}\)
\(\)