Step 1 :Recall the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Step 2 :Identify the discriminant: \(D = b^2 - 4ac\)
Step 3 :When the discriminant is zero, the square root becomes zero: \(x = \frac{-b \pm 0}{2a}\)
Step 4 :Simplify the equation: \(x = \frac{-b}{2a}\)
Step 5 :Compare with the given options and find the match
Step 6 :\(\boxed{\text{C}}\)