Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (5n2 +  10n) +  20

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   5n² + 10n + 20  =   5 • (n² + 2n + 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  n² + 2n + 4 

The first term is,  n²  its coefficient is  1 .
The middle term is,  +2n  its coefficient is  2 .
The last term, "the constant", is  +4 

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

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   2 .

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

Final result :

  5 • (n2 + 2n + 4)