Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (5x2 -  50x) -  105

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   5x² - 50x - 105  =   5 • (x² - 10x - 21) 

Trying to factor by splitting the middle term

 3.2     Factoring  x² - 10x - 21 

The first term is,  x²  its coefficient is  1 .
The middle term is,  -10x  its coefficient is  -10 .
The last term, "the constant", is  -21 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -21 = -21 

Step-2 : Find two factors of  -21  whose sum equals the coefficient of the middle term, which is   -10 .

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  5 • (x2 - 10x - 21)