Question

64 = 4(p + 2) + 24 please solve step by step

Answer 1

Answer:

8

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   6 .

     -16    +    1    =    -15

     -8    +    2    =    -6

     -4    +    4    =    0

     -2    +    8    =    6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  8

                    p2 - 2p + 8p - 16

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

                   p • (p-2)

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

                   8 • (p-2)

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

                   (p+8)  •  (p-2)

            Which is the desired factorization

Answer 2

Answer:

p = 8

Step-by-step explanation:

64 = 4(p+2) + 24

64 = 4p + 8 + 24

64 = 4p + 32

32 = 4p

I substracted 32 from 64, and 32 deletes him self

8

I divided 32 by 4, and the 4p deletes himself

p = 8