Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((22•3d2) -  13d) -  14

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  12d²-13d-14 

The first term is,  12d²  its coefficient is  12 .
The middle term is,  -13d  its coefficient is  -13 .
The last term, "the constant", is  -14 

Step-1 : Multiply the coefficient of the first term by the constant   12 • -14 = -168 

Step-2 : Find two factors of  -168  whose sum equals the coefficient of the middle term, which is   -13 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -21  and  8 
                     12d² - 21d + 8d - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
                    3d • (4d-7)
              Add up the last 2 terms, pulling out common factors :
                    2 • (4d-7)
Step-5 : Add up the four terms of step 4 :
                    (3d+2)  •  (4d-7)
             Which is the desired factorization

Final result :

  (4d - 7) • (3d + 2)