## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 4 - Quadratic Functions - 4.6 Solving Quadratic Equations by Using the Quadratic Formula - 4.6 Exercises - Page 373: 33

#### Answer

$\color{blue}{\left\{-\dfrac{3}{5}, 0\right\}}$

#### Work Step by Step

Factor out $x$: $$x(5x+3)=0$$ Use the Zero-Product Property by equating each factor to zero. Then, solve each equation to obtain: \begin{align*} x&=0 &\text{or}& &5x+3=0\\ x&=0 &\text{or}& &5x=-3\\ x&=0 &\text{or}& &x=-\frac{3}{5}\\ \end{align*} Therefore, the solution set is $\color{blue}{\left\{-\dfrac{3}{5}, 0\right\}}$.

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