Consider the following quadratic equation:
x^2+2x+1=0
Step 2 of 2 : Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.
To solve the quadratic equation x^2 + 2x + 1 = 0 by factoring, we need to rewrite the equation in the form of (x + p)(x + q) = 0, where p and q are numbers.
In this case, we can see that the equation is already in the form of a perfect square trinomial, which means it can be factored as (x + 1)(x + 1) = 0.
Setting each factor equal to zero, we have:
x + 1 = 0
Solving for x, we subtract 1 from both sides:
x = -1
Therefore, the solution to the quadratic equation x^2 + 2x + 1 = 0, when factored, is x = -1.