Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1: 65

Answer

$n=\{ 0,5 \}$

Work Step by Step

Isolating all the terms on the left side and then using the $GCF= n ,$ the factored form of the given expression, $ n^2=5n ,$ is \begin{array}{l}\require{cancel} n^2-5n=0 \\\\ n(n-5)=0 .\end{array} Equating each factor to zero, wo obtain: \begin{array}{l}\require{cancel} n=0 ,\\\\\text{OR}\\\\ n-5=0 \\\\ n=5 .\end{array} Hence, the solution set is $ n=\{ 0,5 \} .$
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