Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2c2 -  14c) -  36

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2c² - 14c - 36  =   2 • (c² - 7c - 18) 

Trying to factor by splitting the middle term

 3.2     Factoring  c² - 7c - 18 

The first term is,  c²  its coefficient is  1 .
The middle term is,  -7c  its coefficient is  -7 .
The last term, "the constant", is  -18 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -18 = -18 

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -7 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  2 
                     c² - 9c + 2c - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
                    c • (c-9)
              Add up the last 2 terms, pulling out common factors :
                    2 • (c-9)
Step-5 : Add up the four terms of step 4 :
                    (c+2)  •  (c-9)
             Which is the desired factorization

Final result :

  2 • (c + 2) • (c - 9)