


An ExampleLet's begin applying the process to our original example: Step 1First, 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. Step 2The coefficient of the x^{2} term is 1, so we may skip Step 2. Step 3We 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 Step 4Now 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, ). Step 5Finally, we take the square root of each side, and make two subproblems. Subproblem 1: Subproblem 2: 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. 

