Answer
$x=-4 \text{ and } x=-2$.
Work Step by Step
Subtract $1$ from each side:
$$x^2+6x+8=0$$
Factor the trinomial:
$$(x+4)(x+2)=0$$
Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain:
\begin{align*}
x+4&=0 &\text{or}& &x+2=0\\
x&=-4 &\text{or}& &x=-2
\end{align*}
Thus, the solutions are $x=-4 \text{ and } x=-2$.