Answer
The solution is $\frac{4}{3}$
Work Step by Step
First we rearrange:
$9x^{2}-24x=-16$
$9x^{2}-24x+16=0$
Then we factor:
$(3x-4)^{2}$
Then we apply the zero-factor property:
$3x-4=0$
$3x=4$
$x=\frac{4}{3}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Practice - Page 454: 5
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