SOLUTION: Solve for x: 1/4 + 4/8x = 6/x + 1/2

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Question 875869: Solve for x: 1/4 + 4/8x = 6/x + 1/2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F4+%2B+%284%2F8%29x+=+6%2Fx+%2B+1%2F2
1%2F4+%2B+%281%2F2%29x+=+6%2Fx+%2B+1%2F2
Multiply both sides by 4x
x%2B2x%5E2=24%2B2x
2x%5E2-x-24=0
2%28x%5E2-x%2F2%2B1%2F16%29-24-2%2F16=0
2%28x-1%2F4%29%5E2=193%2F8
%28x-1%2F4%29%5E2=193%2F16
x-1%2F4=0+%2B-+sqrt%28193%29%2F4
x=%281+%2B-+sqrt%28193%29%29%2F4