Question 297637
There are several ways to do this.
factor
x*(x+1)=0
x=0
x=-1
(x=0,-1)
complete the square
x^2+x+ (1/2)^2=1/4
(x+1/2)^2=1/4
x+1/2=1/2
x=0
x+1/2=-1/2
x=-1
x=(0,-1)

quadratic equation
*[invoke quadratic "x", 1, 1, 0 ]