Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((22•5h2) -  24h) -  9

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  20h²-24h-9 

The first term is,  20h²  its coefficient is  20 .
The middle term is,  -24h  its coefficient is  -24 .
The last term, "the constant", is  -9 

Step-1 : Multiply the coefficient of the first term by the constant   20 • -9 = -180 

Step-2 : Find two factors of  -180  whose sum equals the coefficient of the middle term, which is   -24 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -30  and  6 
                     20h² - 30h + 6h - 9

Step-4 : Add up the first 2 terms, pulling out like factors :
                    10h • (2h-3)
              Add up the last 2 terms, pulling out common factors :
                    3 • (2h-3)
Step-5 : Add up the four terms of step 4 :
                    (10h+3)  •  (2h-3)
             Which is the desired factorization

Final result :

  (2h - 3) • (10h + 3)