Consider the following quadratic equation: \[ x^{2}+10 x+25=0 \] Step 2 of 2 : Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.

To solve the quadratic equation \( x^{2}+10 x+25=0 \) by factoring, we first notice that it can be rewritten as \( (x + 5)(x + 5) = 0 \) or \( (x + 5)^2 = 0 \). This tells us that the equation has a double root. To find the value of \( x \), we set \( (x + 5) = 0 \). Therefore, \( x = -5 \). Thus, the solution to the equation is \( x = -5 \).