Solve for x:
1/200 = 1/825+1/x
1/200 = 1/825+1/x is equivalent to 1/825+1/x = 1/200:
1/825+1/x = 1/200
Bring 1/825+1/x together using the common denominator 825 x:
(x+825)/(825 x) = 1/200
Cross multiply:
200 (x+825) = 825 x
Expand out terms of the left hand side:
200 x+165000 = 825 x
Subtract 825 x+165000 from both sides:
-625 x = -165000
Divide both sides by -625:
Answer: | x=264
