The equation is .

The general quadratic expression form is .

In the above trinomial, .

You need to find two numbers with a sum of 17 and a product of  .

Make a list of the factors of 60 and look for the of factors with the sum of 17.

The correct factors are .

Apply the pattern: .

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 form of equation is.

Apply zero product property: .

Solve the first equation, .

Solve the second equation, .

Subtract 5 from each side.

Divide each side by 3.

.

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 .