## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Vocabulary, Readiness & Video Check: 1

#### Answer

$x=\{ -5,3 \}$

#### Work Step by Step

By the Zero-Product Property, $ab=0$ implies $a=0 \text{ OR } b=0$. Hence, the solution to the given equation, $(x-3)(x+5)=0$, is \begin{array}{} x-3=0 \\ x=0+3 \\ x=3 ,\\\\\text{OR}\\\\ x+5=0 \\ x=0-5 \\ x=-5 .\end{array} Hence, $x=\{ -5,3 \}$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.