#### Answer

x=0 and -$\frac{5}{3}$

#### Work Step by Step

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