Answer
The solutions are 0 and -15.
Work Step by Step
$x^{2}$+15x=0
x(x+15)=0
x=0 or x+15=0
x=0 or x+15-15=0-15
x=0 or x=-15
The solutions are 0 and -15.
Check
Let x=0
$x^{2}$+15x=0
$0^{2}$ +15*0=0
0=0
Let x=-15
$x^{2}$+20x=0
$(-15)^{2}$ +15(-15)=0
225-225=0
0=0