Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  (2•5h2)) +  82h) -  16

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -10h² + 82h - 16  =   -2 • (5h² - 41h + 8) 

Trying to factor by splitting the middle term

 3.2     Factoring  5h² - 41h + 8 

The first term is,  5h²  its coefficient is  5 .
The middle term is,  -41h  its coefficient is  -41 .
The last term, "the constant", is  +8 

Step-1 : Multiply the coefficient of the first term by the constant   5 • 8 = 40 

Step-2 : Find two factors of  40  whose sum equals the coefficient of the middle term, which is   -41 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -40  and  -1 
                     5h² - 40h - 1h - 8

Step-4 : Add up the first 2 terms, pulling out like factors :
                    5h • (h-8)
              Add up the last 2 terms, pulling out common factors :
                     1 • (h-8)
Step-5 : Add up the four terms of step 4 :
                    (5h-1)  •  (h-8)
             Which is the desired factorization

Final result :

  -2 • (h - 8) • (5h - 1)