\(5x\left(x-1\right)-3\left(1-x\right)=0\)
\(5x\left(x-1\right)+3\left(x-1\right)=0\)
\(\left(5x+3\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+3=0\\x-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{3}{5}\\x=1\end{matrix}\right.\)
Vậy...
\(5x\left(x-1\right)-3\left(1-x\right)=0\)
<=> \(5x\left(x-1\right)+3\left(x-1\right)=0\)
<=> \(\left(x-1\right)\left(5x+3\right)=0\)
<=> \(\left[{}\begin{matrix}x-1=0\\5x+3=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=1\\x=\dfrac{3}{5}\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=1\\x=\dfrac{3}{5}\end{matrix}\right.\)