\(\dfrac{3}{7}x-1=\dfrac{1}{7}x\left(3x-7\right)\)
\(\Leftrightarrow\) \(\dfrac{3}{7}x-1=\dfrac{3}{7}x^2-1\)
\(\Leftrightarrow\) \(\dfrac{3}{7}x^2-\dfrac{3}{7}x=0\)
\(\Leftrightarrow\) \(\dfrac{3}{7}x\left(x-1\right)=0\)
\(\Leftrightarrow\) \(\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
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