#### Answer

The solutions are $-1\frac{1}{4}$ and $-7$.

#### Work Step by Step

If a product is 0, one of the factors must be 0.
Use the addition property of equality and the multiplication property of equality to solve for k.
$4k+5=0\ or\ k+7=0$
$4k+5-5=0-5\ or\ k+7-7=0-7$
$4k=-5\ or\ k=-7$
$4k\div4=-5\div4\ or\ k=-7$
$k=\frac{-5}{4}\ or\ k=-7$
$k=-1\frac{1}{4}\ or\ k=-7$