Question

find the value of x. 3x-7=20​

Answer 1

Answer:

x = 9 is the correct answer

Step-by-step explanation:

Hope it helps you

Answer 2

Step-by-step explanation:

x • (3x - 7) -  20  = 0  

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  3x2-7x-20  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -20  

Step-1 : Multiply the coefficient of the first term by the constant   3 • -20 = -60  

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -7 .

     -60    +    1    =    -59  

     -30    +    2    =    -28  

     -20    +    3    =    -17  

     -15    +    4    =    -11  

     -12    +    5    =    -7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  5  

                    3x2 - 12x + 5x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (3x+5)  •  (x-4)

            Which is the desired factorization

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