Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((23•3x2) -  20x) -  16

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   24x² - 20x - 16  =   4 • (6x² - 5x - 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  6x² - 5x - 4 

The first term is,  6x²  its coefficient is  6 .
The middle term is,  -5x  its coefficient is  -5 .
The last term, "the constant", is  -4 

Step-1 : Multiply the coefficient of the first term by the constant   6 • -4 = -24 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3 
                     6x² - 8x + 3x - 4

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

Final result :

  4 • (3x - 4) • (2x + 1)