Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  23h2) -  13h) +  6

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -8h² - 13h + 6  =   -1 • (8h² + 13h - 6) 

Trying to factor by splitting the middle term

 3.2     Factoring  8h² + 13h - 6 

The first term is,  8h²  its coefficient is  8 .
The middle term is,  +13h  its coefficient is  13 .
The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   8 • -6 = -48 

Step-2 : Find two factors of  -48  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,  -3  and  16 
                     8h² - 3h + 16h - 6

Step-4 : Add up the first 2 terms, pulling out like factors :
                    h • (8h-3)
              Add up the last 2 terms, pulling out common factors :
                    2 • (8h-3)
Step-5 : Add up the four terms of step 4 :
                    (h+2)  •  (8h-3)
             Which is the desired factorization

Final result :

  (3 - 8h) • (h + 2)