Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.3 - The Quadratic Formula - Exercise Set - Page 648: 40


The solution set is {0, 6}.

Work Step by Step

For this problem, we can factor out an $x$ to simplify it: $$x(x - 6) = 0$$ According to the zero product property, the product of factors is zero if at least one factor is zero. Therefore, we can set each factor to zero to solve for $x$: $$x = 0$$ or $$x - 6 = 0$$ We add $6$ to each side of the equation to solve for $x$: $$x = 6$$ The solution set is {0, 6}.
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