When completing the square of a quadratic equality (aX^2 + bx + c = 0), step 1 - divide b and c by a, step 2 - divide b/a by 2 and square it. Then add the square to both sides. Got it so far. Step 3 - Convert the left hand side into a squared form, hence (x + b/a)^2.

Step 3 loses me. How do you get (x + b/2a)^2 out of x^2 + b/ax + b/2a^2?? I don't see b/ax anywhere in the new square. To me, (x+ b/2a)^2 looks like only x^2 and b/2a^2 are being added. What happens to the b/ax??