Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 179: 79

Answer

$-\frac{7}{4}$

Work Step by Step

Step 1. Multiply the LCD $x(x+2)$ to both sides, we have $x^2+x+2+3x(x+2)=2\longrightarrow 4x^2+7x=0$ Step 2. Factor the equation to get $x(4x+7)=0$, thus $x=0$ and $x=-\frac{7}{4}$ Step 3. Check the answers with the original equation and only $x=-\frac{7}{4}$ fits.
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