Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (22x2 -  2x) -  8

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4x² - 2x - 8  =   2 • (2x² - x - 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  2x² - x - 4 

The first term is,  2x²  its coefficient is  2 .
The middle term is,  -x  its coefficient is  -1 .
The last term, "the constant", is  -4 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -4 = -8 

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -1 .

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

Final result :

  2 • (2x2 - x - 4)