To complete a square for ax²+bx+c, you first make a=1. in this case, a is already 1 move c to the right side: x²+14x=-47 next, add (1/2 of b)² to both sides, in this case, b=14, half of 14 is 7, so x²+14x+ 7²=-47+7² the left side is now a perfect square: (x+7)²=2 x+7=√2 or x+7=-√2 x=√2-7, or x=-2-√7