#### Answer

x=$\frac{4}{3}$ or -1

#### Work Step by Step

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