Answer
$m=\pm\sqrt{85/3}$
Work Step by Step
$\displaystyle \frac{10}{m+5}+15=3m$
We multiply through by $m+5$ and solve:
$10+15(m+5)=3m(m+5)$
$10+15m+75=3m^2+15m$
$10+15m+75-3m^2-15m=0$
$-3m^2+85=0$
$m^2=-85/-3=85/3$
$m=\pm\sqrt{85/3}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises - Page 138: 26
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