Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 46


x=-$\frac{5}{3}$ or -1

Work Step by Step

Rewrite the equation so it is in standard form. x(3x+8)=-5 3x$^2$+8x=-5 3x$^2$+8x+5=0 Factor the trinomial. (3x+5)(x+1)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 3x+5=0 or x+1=0 3x=-5 or x=-1 x=-$\frac{5}{3}$ or x=-1 Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{5}{3}$ and -1.
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