x(x - 4) + 1 = 3x - 5
<=> x2 - 4x + 1 = 3x - 5
<=> x2 - 4x - 3x + 1 + 5 = 0
<=> x2 - 7x + 6 = 0
<=> x2 - 6x - x + 6 = 0
<=> x(x - 6) - (x - 6) = 0
<=> (x - 1)(x - 6) = 0
<=> \(\left[{}\begin{matrix}x-1=0\\x-6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=6\end{matrix}\right.\)