Answer
$x = 4, 6$
Work Step by Step
1) Expand and simplify to solve for $x$
$4(x-6)-x(x-6) = 0$
$4x - 24 - x^{2} + 6x = 0$
$-x^{2}+10x-24$
2) Simply solve for $x$
$(4-x)(x-6) = 0$
$x = 4, 6$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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 - Problem Set 6.1 - Page 243: 83
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