Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2x2 -  22x) +  42

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2x² - 22x + 42  =   2 • (x² - 11x + 21) 

Trying to factor by splitting the middle term

 3.2     Factoring  x² - 11x + 21 

The first term is,  x²  its coefficient is  1 .
The middle term is,  -11x  its coefficient is  -11 .
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   -11 .

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

Final result :

  2 • (x2 - 11x + 21)