Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step  1  :

Equation at the end of step  1  :

  (11x2 -  2x) -  9

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  11x²-2x-9 

The first term is,  11x²  its coefficient is  11 .
The middle term is,  -2x  its coefficient is  -2 .
The last term, "the constant", is  -9 

Step-1 : Multiply the coefficient of the first term by the constant   11 • -9 = -99 

Step-2 : Find two factors of  -99  whose sum equals the coefficient of the middle term, which is   -2 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -11  and  9 
                     11x² - 11x + 9x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :
                    11x • (x-1)
              Add up the last 2 terms, pulling out common factors :
                    9 • (x-1)
Step-5 : Add up the four terms of step 4 :
                    (11x+9)  •  (x-1)
             Which is the desired factorization

Final result :

  (x - 1) • (11x + 9)