Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set: 93

Answer

$x=3$

Work Step by Step

We are given the equation $3x(x+5)-12=3x^{2}+10x+3$. We can solve for x by first using the distributive property to simplify the left side. $3x(x+5)-12=3x^{2}+15x-12=3x^{2}+10x+3$ Subtract $3x^{2}$ from both sides. $15x-12=10x+3$ Subtract 10x from both sides. $5x-12=3$ Add 12 to both sides. $5x=15$ Divide both sides by 5. $x=3$
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