Answer
The solutions are $-\frac{2}{7}$ and $\frac{4}{5}$.
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 x.
$7x+2=0\ or\ 5x-4=0$
$7x+2-2=0-2\ or\ 5x-4+4=0+4$
$7x=-2\ or\ 5x=4$
$7x\div7=\frac{-2}{7}\ or\ 5x\div5=4\div5$
$x=-\frac{2}{7}\ or\ x=\frac{4}{5}$