# Solving for a variable in a quadratic fraction polynomial.

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Solve for x:

6/(x^2-7x+6)=2/(x-1)-4/(x-6)

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##### Solution Summary

A variable in a quadratic fraction polynomial is solved. A variable in a quadratic fraction polynomial is examined.

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Start with

6/(x^2-7x+6)=2/(x-1)-4/(x-6)

Now we want to bring the fractions to a common denominator. First notice that

(x-1)(x-6) = x^2-x-6x+6 = x^2-7x+6

So

6/(x^2-7x+6) = ...

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