#### Answer

$\color{blue}{\left\{-23, 46\right\}}$

#### Work Step by Step

RECALL:
Zero-Factor Property:
If $ab = 0$, then either $a=0$ or $b=0$ or both are $0$.
Use the property above to obtain:
\begin{array}{ccccc}
&8=0 &\text{or} &k-46=0 &\text{or} &k+23=0
\end{array}
Solve each equation to obtain:
$8=0$, no solution
or
$k-46=0
\\k=0+46
\\k=46$
or
$k+23=0
\\k=0-23
\\k=-23$
Thus, the solution set is $\color{blue}{\left\{-23, 46\right\}}$.