Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((3•5n2) -  40n) -  50

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   15n² - 40n - 50  =   5 • (3n² - 8n - 10) 

Trying to factor by splitting the middle term

 3.2     Factoring  3n² - 8n - 10 

The first term is,  3n²  its coefficient is  3 .
The middle term is,  -8n  its coefficient is  -8 .
The last term, "the constant", is  -10 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -10 = -30 

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -8 .

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

Final result :

  5 • (3n2 - 8n - 10)