SOLUTION: 3x over 4x-1 = 1 over x

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Question 38330: 3x over 4x-1 = 1 over x
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
3x%2F%284x-1%29+=+1%2Fx Cross-multiply.
3x%5E2+=+4x-1 Subtract (4x-1) from both sides.
3x%5E2-4x%2B1+=+0 Factor.
%283x-1%29%28x-1%29+=+0 Apply the zero products principle.
3x-1+=+0 and/orx-1+=0
If 3x-1+=+0 then 3x+=+1 and x+=+1%2F3
If x-1+=+0 then x+=+1
Roots are:
x+=+1%2F3
x+=+1