Question

480/x-8 - 480/x = 3 solve this equation

Answer 1

Answers are  x = 40 or -32.

480/(x-8)  -  480/x  =   3      To solve for x.

        480*[x - (x-8)] / [(x-8)x ] = 3
         3x(x-8) = 8*480
          x² - 8 x - 1280 = 0      :             - 1280 = - 40 * 32
         x² -40 x + 32 x - 1280 = 0
          (x - 40)x + 32 (x-40) = 0
            x = 40   or  x = -32

That is the answer....

Answer 2

Answer:

x=40 (or) x=-32

Step-by-step explanation:

480/(x-8)  -  480/x  =   3    

       480*[x - (x-8)] / [(x-8)x ] = 3

        3x(x-8) = 8*480

         x² - 8 x - 1280 = 0      :             - 1280 = - 40 * 32

        x² -40 x + 32 x - 1280 = 0

         (x - 40)x + 32 (x-40) = 0

           x = 40   or  x = -32