Question

x^2 + 6x + 8 = 0

Answer 1

\[ \begin{split}
x^2+6x+8
&= x^2+2x+4x+4(2) \\
&= x(x+2)+4(x+2) \\
&= (x+4)(x+2)
\end{split} \]

Answer 2

\[
\begin{split}
(x+4)(x+2) = 0
&\implies x+4=0\quad&\text{or}&\quad x+2=0 \\
&\implies x=-4\quad &\text{or}&\quad x=-2
\end{split}
\]

Answer 3

Do you know how to split the middle?