Answer:
(x + 1)(x + 1) = 0 OR (x + 1)^2 = 0
Step-by-step explanation:
First, we need to get the trinomial x^2 + 2x = -1 all on one side of the equation.
x^2 + 2x = -1
x^2 + 2x + 1 = -1 + 1
x^2 + 2x + 1 = 0
Now that the trinomial is on the left-hand side, let's factor the equation.
x^2 + 2x + 1 = 0
(x + 1)(x + 1) = 0
We can simplify this factored trinomial further to be:
(x + 1)(x + 1) = 0
(x + 1)^2 = 0
Cheers.
