Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 243: 80

$x = 0, -\frac{7}{5}$

1. Rewrite the equation so that it is set equal to zero: $7x = - 5x^{2}$ $7x + 5x^{2} = 0$ 2. Factor out $x$ from the equation, set each factor equal to zero, and solve: $x(7 + 5x) = 0$ $x=0$ $7 + 5x = 0$ $5x = -7$ $x = -\frac{7}{5}$ $x = 0, -\frac{7}{5}$