\(5x^2-5x=x-1\)
\(\Leftrightarrow5x\left(x-1\right)=x-1\)
\(\Leftrightarrow5x\left(x-1\right)-\left(x-1\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x-1=0\\x-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=1\end{cases}}\)
\(5x^2-5x=x-1\)
\(\Leftrightarrow5x^2-5x-x+1=0\)
\(\Leftrightarrow5x^2-6x+1=0\)
\(\Leftrightarrow5x^2-x-5x+1=0\)
\(\Leftrightarrow x\left(5x-1\right)-\left(5x-1\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x-1=0\\x-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=1\end{cases}}\)
=> 5x*(x-1)=x-1
=>5x=1
=> x=1/5
study well
k nha.thanks very much
