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