Solution - Simplification or other simple results

(- 3 x - 2) \cdot (x + 1)

(-3x-2)*(x+1)

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

  ((0 -  3x²) -  5x) -  2

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

-3x² - 5x - 2 = -1 • (3x² + 5x + 2)

Trying to factor by splitting the middle term

3.2 Factoring 3x² + 5x + 2

The first term is, 3x² its coefficient is 3 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 3 • 2 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 5 .

-6	+	-1	=	-7
-3	+	-2	=	-5
-2	+	-3	=	-5
-1	+	-6	=	-7
1	+	6	=	7
2	+	3	=	5	That's it

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

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (3x+2)
              Add up the last 2 terms, pulling out common factors :
                     1 • (3x+2)
Step-5 : Add up the four terms of step 4 :
                    (x+1)  •  (3x+2)
             Which is the desired factorization

Final result :

  (-3x - 2) • (x + 1)

How did we do?

Please leave us feedback.

Terms and topics

Canceling out