Question

7/x²-6x =1/x²-36

Answer 1

I will assume that you meant:

7/(x^2 - 6x) = 1/(x^2 - 36)
which is
7/( x(x-6) ) = 1/( (x-6)(x+6) )
multiply both sides by x-6

7/x = 1/(x+6)
7x + 42 = x

take over