Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (7h2 +  4h) -  3

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  7h²+4h-3 

The first term is,  7h²  its coefficient is  7 .
The middle term is,  +4h  its coefficient is  4 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   7 • -3 = -21 

Step-2 : Find two factors of  -21  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,  -3  and  7 
                     7h² - 3h + 7h - 3

Step-4 : Add up the first 2 terms, pulling out like factors :
                    h • (7h-3)
              Add up the last 2 terms, pulling out common factors :
                     1 • (7h-3)
Step-5 : Add up the four terms of step 4 :
                    (h+1)  •  (7h-3)
             Which is the desired factorization

Final result :

  (7h - 3) • (h + 1)