Answer
x=$\frac{9}{5}$ or -2
Work Step by Step
Rewrite the equation in standard form.
5x$^2$=18-x
5x$^2$+x=18
5x$^2$+x-18=0
Factor the trinomial.
(5x-9)(x+2)=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
5x-9=0 or x+2=0
5x=9 or x=-2
x=$\frac{9}{5}$ or x=-2
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{9}{5}$ and -2.
