College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.1 - Linear Equations - 1.1 Assess Your Understanding - Page 90: 47



Work Step by Step

$x(2x-3)=(2x+1)(x-4)$ Distribute, multiply and combine like terms. $2x^2-3x=2x^2-8x+x-4$ $2x^2-2x^2-3x=2x^2-2x^2-7x-4$ Subtract $2x^2$ from both sides. $-3x+7x=-7x+7x-4$ Add $7x$ to both sides. $4x=-4$ $\frac{4}{4}x=\frac{-4}{4}$ Divide both sides by 4. $x=-1$ The solution is {$-1$}
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