Introductory Algebra for College Students (7th Edition)

Published by Pearson

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 45

Answer

x=-$\frac{5}{2}$ or $\frac{3}{2}$

Work Step by Step

Rewrite the equation so it is in standard form. 4x(x+1)=15 4x$^2$+4x=15 4x$^2$+4x-15=0 Factor the trinomial. (2x+5)(2x-3)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 2x+5=0 or 2x-3=0 2x=-5 or 2x=3 x=-$\frac{5}{2}$ or x=$\frac{3}{2}$ Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{5}{2}$ and $\frac{3}{2}$

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