Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 84

Answer

$x_{1}=0$ and $x_{2}=-16$

Work Step by Step

$(2x-3)(x+6)=(x-9)(x+2)$ $2x(x+6)-3(x+6)=x(x+2)-9(x+2)$ $2x^2+12x-3x-18=x^2+2x-9x-18$ $2x^2+9x-18=x^2-7x-18$ $2x^2-x^2+9x+7x-18+18=0$ $x^2+16x=0$ $x(x+16)=0$ Therefore the solutions are $x_{1}=0$ and $x_{2}=-16$
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