Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.4 - Solving Quadratic Equations - Which Method? - Problem Set 10.4 - Page 457: 21



Work Step by Step

Factoring the equation and setting the factors equal to zero, we obtain: $y^{2}+5y=84$ $y^{2}+5y-84=0$ $y^{2}-7y+12y-84=0$ $y(y-7)+12(y-7)=0$ $(y-7)(y+12)=0$ $(y-7)=0$ or $(y+12)=0$ $y=7$ or $y=-12$ Therefore, the solution set is {$-12,7$}.
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