Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((3•11r2) +  2r) -  16

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  33r²+2r-16 

The first term is,  33r²  its coefficient is  33 .
The middle term is,  +2r  its coefficient is  2 .
The last term, "the constant", is  -16 

Step-1 : Multiply the coefficient of the first term by the constant   33 • -16 = -528 

Step-2 : Find two factors of  -528  whose sum equals the coefficient of the middle term, which is   2 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -22  and  24 
                     33r² - 22r + 24r - 16

Step-4 : Add up the first 2 terms, pulling out like factors :
                    11r • (3r-2)
              Add up the last 2 terms, pulling out common factors :
                    8 • (3r-2)
Step-5 : Add up the four terms of step 4 :
                    (11r+8)  •  (3r-2)
             Which is the desired factorization

Final result :

  (3r - 2) • (11r + 8)