Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (5j2 -  90j) -  95

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   5j² - 90j - 95  =   5 • (j² - 18j - 19) 

Trying to factor by splitting the middle term

 3.2     Factoring  j² - 18j - 19 

The first term is,  j²  its coefficient is  1 .
The middle term is,  -18j  its coefficient is  -18 .
The last term, "the constant", is  -19 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -19 = -19 

Step-2 : Find two factors of  -19  whose sum equals the coefficient of the middle term, which is   -18 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -19  and  1 
                     j² - 19j + 1j - 19

Step-4 : Add up the first 2 terms, pulling out like factors :
                    j • (j-19)
              Add up the last 2 terms, pulling out common factors :
                     1 • (j-19)
Step-5 : Add up the four terms of step 4 :
                    (j+1)  •  (j-19)
             Which is the desired factorization

Final result :

  5 • (j + 1) • (j - 19)