The equation is .

The general quadratic expression form is .

In the above trinomial, .

You need to find two numbers with a sum of 9 and a product of  .

Make a list of the factors of 18 and look for the of factors with the sum of 9.

The correct factors are .

Apply the pattern: .

The vales of are substitute in the above equation.

Group terms with common factors.

Factors the GCF from each group.

Notice that is common in both groups, so it becomes the GCF.

Apply distributive property: .

The factors of equation is.

Apply zero product property: .

Solve the first equation, .

Solve the second equation, .

Subtract 3 from each side.

Divide each side by 2.

.

Check for first solution:

To check the solution, the value of substitute in original equation, .

                 (Solution checks)

Check for second solution:

To check the solution, the value of substitute in original equation, .

                 (Solution checks)

The value of .