# Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 36

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

#### Work Step by Step

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

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