Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  (2•11d2)) +  29d) -  9

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -22d² + 29d - 9  =   -1 • (22d² - 29d + 9) 

Trying to factor by splitting the middle term

 3.2     Factoring  22d² - 29d + 9 

The first term is,  22d²  its coefficient is  22 .
The middle term is,  -29d  its coefficient is  -29 .
The last term, "the constant", is  +9 

Step-1 : Multiply the coefficient of the first term by the constant   22 • 9 = 198 

Step-2 : Find two factors of  198  whose sum equals the coefficient of the middle term, which is   -29 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -18  and  -11 
                     22d² - 18d - 11d - 9

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

Final result :

  (9 - 11d) • (2d - 1)