Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((22•3d2) +  4d) -  1

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  12d²+4d-1 

The first term is,  12d²  its coefficient is  12 .
The middle term is,  +4d  its coefficient is  4 .
The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   12 • -1 = -12 

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   4 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  6 
                     12d² - 2d + 6d - 1

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

Final result :

  (6d - 1) • (2d + 1)