Answer:
[tex]\displaystyle \boxed{\text{\sf \Large x=-1}}[/tex]
Step-by-step explanation:
Add 1 to both sides
[tex]x^2+2x+1=0[/tex]
Use quadratic formula with a=1, b=2, c=1
[tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x= \frac{-(2) \pm \sqrt{(2)^2-4(1)(1)} }{2(1)}=-1[/tex]
