College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises: 106

Answer

Division by zero is not allowed and undefined.

Work Step by Step

There are two issues. First, when we multiplied both sides by $x$ in the second step, the solution $x=0$ is added. Second, we divided by $x-1$ is the 5th step. Since $x=1$, $x-1=0$, so this is really division by 0, which is undefined.
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