Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((2•5n2) -  7n) -  6

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  10n²-7n-6 

The first term is,  10n²  its coefficient is  10 .
The middle term is,  -7n  its coefficient is  -7 .
The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   10 • -6 = -60 

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -7 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  5 
                     10n² - 12n + 5n - 6

Step-4 : Add up the first 2 terms, pulling out like factors :
                    2n • (5n-6)
              Add up the last 2 terms, pulling out common factors :
                     1 • (5n-6)
Step-5 : Add up the four terms of step 4 :
                    (2n+1)  •  (5n-6)
             Which is the desired factorization

Final result :

  (5n - 6) • (2n + 1)