Question 274586
z/9 - 9/z = 0

First multiply both sides of the equation above by z:

z^2/9 - 9 = 0

Next multiply both sides of this equation by 9:

z^2 - 81 = 0

Now solve for x:

z^2 - 81 = 0
(z+9)*(z-9) = 0

So either z+9 = 0 or z-9 = 0. Solving we have:

z = 9 or z = -9