Answer
x=0 and -4
Work Step by Step
Factor out the GCF.
x$^2$+4x=0
x(x+4)=0
Set each variable factor as equal to zero and isolate the variable to find the solutions.
x=0 or x+4=0
x=0 or x=-4
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at 0 and -4.