# Chapter 9 - Quadratic Functions and Equations - 9-4 Factoring to Solve Quadratic Equations - Practice and Problem-Solving Exercises - Page 558: 12

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. $7x+2=0\ or\ 5x-4=0$ $7x+2-2=0-2\ or\ 5x-4+4=0+4$ $7x=-2\ or\ 5x=4$ $7x\div7=\frac{-2}{7}\ or\ 5x\div5=4\div5$ $x=-\frac{2}{7}\ or\ x=\frac{4}{5}$

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