Solve for the variable write your answers as integers or as proper or improper fractions in simplest form x^2+2x+1=0

To solve the equation x^2 + 2x + 1 = 0, we can factor the left side of the equation:

(x + 1)(x + 1) = 0

Now we can see that (x + 1) is squared and equals 0:

x + 1 = 0

Now we can solve for x:

x = -1

Therefore, the solution to the equation x^2 + 2x + 1 = 0 is x = -1.