Question

5/x-5 - 10/x^2 =0

Answer 1

Is that first term
5/x or is it 5/(x-5) ???

Answer 2

If it is the latter, then it is a quadratic equiation with complex roots] of:
x=1-3i
x=1+3i

Answer 3

5x^2 - 10x + 50 = 0
5x^2 - 10x = -50
x^2 - 2x = -10
x^2 - 2x +2 = -8
(x-1)^2 = -8
x- 1 = i sqrt 8
x = 1 +/- i sqrt 8

x = 1 +2i sqrt 2
x = 1 - 2i sqrt 2