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 - Concept Quiz 6.1: 6

Answer

False.

Work Step by Step

When we plug in $7$, one of the proposed solutions, into the equation, and simplify using order of operations, the following occurs: $$x(x+2)=7$$$$7(7+2)=7$$$$7(9)=7$$$$63=7$$ Since $63\ne7$, $7$ is not a part of the solution set to the equation, so the statement $\text{must}$ be false.
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