Math problem I know the answer need the work to be shown?

[1/(x+7)-1/(x)]/(7) = (x - x - 7)/7(x^2 + 7x) = 1/(x^2 + 7x)

If your math problem is actually ( (1 / (x+7)) - (1 / x) ) / 7 then the answer is as follows:

split the problem: 1/7 (1 / (x+7) - 1 / x )

1/7 (x / (x(x+7)) -(x+7) / (x(x+7)) )

1/7 ( (x-(x+7)) / (x^2 +7x) )

1/7 ( -7 / (x^2 + 7x) )

Multiple/combine the problem (the sevens cancel out)

-1/(x^2+7x) is the simplified form of the equation. If there is an "=" somewhere, this is where you would solve for X by multiplying x over and then making one side equal to zero and then doing the quadratic equation.

First u need to make both sides have the same "characters" so multiply the first part with "x" and the second part with "x+7". So at this point, both parts will have " (x^2)+7x" under them. Remember to also multiply the top parts accordingly. u should have "x-x-7" which is "-7". Put tht together u have -7/7((x^2)+7x)=1/(x^2+7x)

(1/7) [ 1/(x+7) - 1/x ]

(1/7) [ -7 / (x²+7x) ]

-1 / (x²+7x)