Question

x( x – 4) - 2x + 8 = 0 

Answer 1

x(x - 4) - 2x + 8 = 0

<=> x(x - 4) - 2(x - 4) = 0

<=> (x - 2)(x - 4) = 0

<=> \(\left[{}\begin{matrix}x-2=0\\x-4=0\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=2\\x=4\end{matrix}\right.\)

Answer 2

\(x\left(x-4\right)-2x+8=0\)

\(\Leftrightarrow x\left(x-4\right)-2\left(x-4\right)=0\)

\(\Leftrightarrow\left(x-4\right)\left(x-2\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=2\end{matrix}\right.\)