Solve the equation by completing the square.
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To solve the equation by completing the square, let's use an example equation: x^2 + 6x + 9 = 0.
1. Start by moving the constant term to the other side of the equation:
x^2 + 6x = -9
2. To complete the square, take half of the coefficient of x (6/2 = 3) and square it (3^2 = 9). Add this value to both sides of the equation:
x^2 + 6x + 9 = -9 + 9
(x + 3)^2 = 0
3. Now take the square root of both sides:
x + 3 = 0
x = -3
Therefore, the solution to the equation x^2 + 6x + 9 = 0 is x = -3.