Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix B - Exercise Set: 10

Answer

$x=-\frac{1}{5}$ or $x=2$

Work Step by Step

Step 1: Not needed as there are no fractions. Step 2: Not needed as there are no parentheses. Step 3: Not needed as no simplification necessary. Step 4: The equation $(5x+1)(x-2)=0$ is quadratic. Step 5: Not needed as the equation is already factored. Step 6: Not needed as the equation is already factored. Step 7: $(5x+1)=0$ or $(x-2)=0$ Step 8: $x=-\frac{1}{5}$ or $x=2$ Final Step: Checking by substituting the answers in the original equation: $(5x+1)(x-2)=0$ and $(5x+1)(x-2)=0$ $(5(-\frac{1}{5})+1)(\frac{1}{5}-2)=0$ and $(5(2)+1)(2-2)=0$ $(-1+1)(\frac{1}{5}-2)=0$ and $(10+1)(0)=0$ $(0)(\frac{1}{5}-2)=0$ and $(11)(0)=0$ $0=0$ and $0=0$ Therefore, the answer checks.
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