Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 45

Answer

no solution

Work Step by Step

The given expression, $ 2z(z+6)=2z^2+12z-8 $, simplifies to \begin{array}{} 2z^2+12z=2z^2+12z-8 \\\\ (2z^2-2z^2)+(12z-12z)=-8 \\\\ 0=-8 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then there is no solution since there is no value of the variable that will make the left side of the original equation equal to the right side.
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