solve:

Question

(1/(x-10)+(1/20)=(1/(20(x^2-100))

Answer 1

1/(x-10) + 1/20 = 1/[20(x-10)(x+10)]

put all over a common denominator
20(x-10)(x+10)

20(x+10) + (x-10)(x+10) = 1

20x + 200 + x^2 - 100 = 1
x^2 + 20x +99 = 0
(x+9)(x+11) = 0

x = -9 or -11