1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
x^2 – 6x = 5
2. Make sure that the coefficient of the x^2 term is 1.
x^2 – 6x = 5
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
x^2 – 6x + 9 = 5 + 9
(x-3)^2 = 14
Therefore, 9 should be added to both sides to complete the square.
