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

Published by Pearson

# Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 26

#### Answer

x=0 or -$\frac{3}{2}$

#### Work Step by Step

Rewrite the equation in standard form. 2x$^2$=-3x 2x$^2$+3x=0 Factor out the GCF. x(2x+3)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. x=0 or 2x+3=0 x=0 or 2x=-3 x=0 or x=-$\frac{3}{2}$ Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at 0 and -$\frac{3}{2}$

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