Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "n2"   was replaced by   "n^2". 

Step  1  :

Equation at the end of step  1  :

  (2n2 -  9n) +  7

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2n²-9n+7 

The first term is,  2n²  its coefficient is  2 .
The middle term is,  -9n  its coefficient is  -9 .
The last term, "the constant", is  +7 

Step-1 : Multiply the coefficient of the first term by the constant   2 • 7 = 14 

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   -9 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -2 
                     2n² - 7n - 2n - 7

Step-4 : Add up the first 2 terms, pulling out like factors :
                    n • (2n-7)
              Add up the last 2 terms, pulling out common factors :
                     1 • (2n-7)
Step-5 : Add up the four terms of step 4 :
                    (n-1)  •  (2n-7)
             Which is the desired factorization

Final result :

  (2n - 7) • (n - 1)