Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  (3•5a2)) +  16a) -  4

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -15a² + 16a - 4  =   -1 • (15a² - 16a + 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  15a² - 16a + 4 

The first term is,  15a²  its coefficient is  15 .
The middle term is,  -16a  its coefficient is  -16 .
The last term, "the constant", is  +4 

Step-1 : Multiply the coefficient of the first term by the constant   15 • 4 = 60 

Step-2 : Find two factors of  60  whose sum equals the coefficient of the middle term, which is   -16 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -6 
                     15a² - 10a - 6a - 4

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

Final result :

  (2 - 3a) • (5a - 2)