Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((23•32x2) -  2x) -  4

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   72x² - 2x - 4  =   2 • (36x² - x - 2) 

Trying to factor by splitting the middle term

 3.2     Factoring  36x² - x - 2 

The first term is,  36x²  its coefficient is  36 .
The middle term is,  -x  its coefficient is  -1 .
The last term, "the constant", is  -2 

Step-1 : Multiply the coefficient of the first term by the constant   36 • -2 = -72 

Step-2 : Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -1 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  8 
                     36x² - 9x + 8x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    9x • (4x-1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (4x-1)
Step-5 : Add up the four terms of step 4 :
                    (9x+2)  •  (4x-1)
             Which is the desired factorization

Final result :

  2 • (4x - 1) • (9x + 2)