The equation is .

Subtract 7n from each side.

Apply commutative property of addition: .

.

The general factor trinomial form is .

In the above trinomial, .

Since c is negative, the factors m and p have opposite signs.

So either m or p is negative, but not both.

Since b is negative, the factor with the greater absolute value is also negative.

List the factors of , where one factor of each pair is negative and look for the pair of factors with a sum of .

Apply the pattern form: when .

 because .

The factor form of equation is .

Apply zero product property: .

Solve the first equation, .

Solve the second equation, .

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 .