x² - 8x+ 15 = 0
$\Rightarrow$ x² -3x - 5x + 15 = 0
$\Rightarrow$ x ( x - 3 ) - 5 ( x - 3 ) = 0
$\Rightarrow$ ( x - 3 ) ( x - 5 ) = 0
$\Rightarrow$ \(\left[ \begin{array}{l}x-3=0\\x-5=0\end{array} \right.\)
$\Rightarrow$\(\left[ \begin{array}{l}x=3\\x=5\end{array} \right.\)