Answer
The solutions are $1\frac{3}{4}$ and $-2\frac{2}{3}$.
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 a.
$4a-7=0\ or\ 3a+8=0$
$4a-7+7=0+7\ or\ 3a+8-8=0-8$
$4a=7\ or\ 3a=-8$
$4a\div4=7\div4\ or\ 3a\div3=-8\div3$
$a=\frac{7}{4}\ or\ a=-\frac{8}{3}$
$a=1\frac{3}{4}\ or\ a=-2\frac{2}{3}$
