Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (22x2 +  x) -  14

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  4x²+x-14 

The first term is,  4x²  its coefficient is  4 .
The middle term is,  +x  its coefficient is  1 .
The last term, "the constant", is  -14 

Step-1 : Multiply the coefficient of the first term by the constant   4 • -14 = -56 

Step-2 : Find two factors of  -56  whose sum equals the coefficient of the middle term, which is   1 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  8 
                     4x² - 7x + 8x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (4x-7)
              Add up the last 2 terms, pulling out common factors :
                    2 • (4x-7)
Step-5 : Add up the four terms of step 4 :
                    (x+2)  •  (4x-7)
             Which is the desired factorization

Final result :

  (4x - 7) • (x + 2)