Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2y2 -  9y) -  18

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2y²-9y-18 

The first term is,  2y²  its coefficient is  2 .
The middle term is,  -9y  its coefficient is  -9 .
The last term, "the constant", is  -18 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -18 = -36 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   -9 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     2y² - 12y + 3y - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
                    2y • (y-6)
              Add up the last 2 terms, pulling out common factors :
                    3 • (y-6)
Step-5 : Add up the four terms of step 4 :
                    (2y+3)  •  (y-6)
             Which is the desired factorization

Final result :

  (y - 6) • (2y + 3)