## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 35

#### Answer

x=$\frac{9}{5}$ or -2

#### Work Step by Step

Rewrite the equation in standard form. 5x$^2$=18-x 5x$^2$+x=18 5x$^2$+x-18=0 Factor the trinomial. (5x-9)(x+2)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 5x-9=0 or x+2=0 5x=9 or x=-2 x=$\frac{9}{5}$ or x=-2 Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{9}{5}$ and -2.

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