Answer
$z=-10$
Work Step by Step
The solution to the given expression, $
z^2-4z+10=z(z-5)
$, is
\begin{array}{l}
z^2-4z+10=z^2-5z
\\\\
(z^2-z^2)+(-4z+5z)+10=0
\\\\
z+10=0
\\\\
z=0-10
\\\\
z=-10
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
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 - Page 323: 64
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