Let's begin applying the process to our original example:
First, we move the constant term to the right side by adding 1.5 to each side of the equation:
We may now proceed to Step 2 since all other terms are already on the left side of the equation.
The coefficient of the x2 term is 1, so we may skip Step 2.
We determine that is the coefficient of the x term. Now we divide this coefficient by two , and square it: . So we now add to each side
Now we factor the left side. Even though the left side has fractions, it will always be factorable as x plus half the coefficient of the x term in the original equation (in this case, ).
Finally, we take the square root of each side, and make two subproblems.
As we do with factoring, we combine the solutions to the subproblems to determine the solution to the original problem:
Proceed to the next page for a second example.