SOLUTION: x - (1/n)x - (x - (1/nx)(1/m) = a Solve for x. Not sure how to proceed.

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Question 1174761: x - (1/n)x - (x - (1/nx)(1/m) = a
Solve for x.
Not sure how to proceed.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


x+-+%281%2Fn%29x+-+%28x+-+%281%2Fnx%29%281%2Fm%29%29+=+a

x+-+%281%2Fn%29x+-+%28x-1%2Fmnx%29+=+a

x+-+%28x%2Fn%29+-+x+%2B+1%2Fmnx+=+a

1%2Fmnx+-+x%2Fn+=+a

1%2Fmnx+-+x%2Fn+-+a+=+0

Clear fractions by multiplying everything by mnx:

1+-+mx%5E2+-+amnx+=+0

mx%5E2%2Bamnx-1+=+0

This is a quadratic equation; the quadratic will clearly not factor, so use the quadratic formula.

%28m%29x%5E2+%2B+%28amn%29x+%2B+%28-1%29+=+0

Plug those coefficients in the quadratic formula and simplify if needed.