Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((3-2x)+(2•(x2)))-((4x-5)+3x2)
 Step  2  :

Equation at the end of step  2  :

  ((3 - 2x) +  2x2) -  (3x2 + 4x - 5)

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -x² - 6x + 8  =   -1 • (x² + 6x - 8) 

Trying to factor by splitting the middle term

 4.2     Factoring  x² + 6x - 8 

The first term is,  x²  its coefficient is  1 .
The middle term is,  +6x  its coefficient is  6 .
The last term, "the constant", is  -8 

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

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   6 .

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

Final result :

  -x2 - 6x + 8