Consider the equation: x^2+12x+27=0 Eand A) First, use the "completing the square" process to write this equation in the form (x+D)^2=E enter your results below. x^2+12x+27=0 is equivalent to: square =square Preview left side of eqn: B) Solve your equation and enter your answers below as a list of numbers, separated with a comma where necessary. Answer(s): square

To solve the equation by completing the square, follow these steps:### Step 1: Move the constant term to the other side of the equation ### Step 2: Complete the squareTo complete the square, we need to add and subtract the square of half the coefficient of . The coefficient of is 12, so half of it is 6, and its square is .Add and subtract 36 on the left side: So, the equation in the form \((x + D)^2 = E\) is: ### Step 3: Solve the equationTake the square root of both sides: Solve for : ### Final AnswersA) The equation is equivalent to: B) The solutions to the equation are: