SOLUTION: Solve and check the following equation for x. x/x-2 � x+1/x = 8/x^2 � 2x

Question 77884: Solve and check the following equation for x.

x/x-2 � x+1/x = 8/x^2 � 2x

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x/x-2 � x+1/x = 8/x^2 � 2x
:
Assume you mean; (a few brackets would help a lot):
� =
:
Factor out x:
� =
:
The common denominator is x(x-2), multiply the equation by x(x-2)
After canceling out the denominators you will have:
x(x) - (x-2)(x+1) = 8
:
x^2 - (x^2-x-2)= 8: FOILed (x-2)(x+1)
:
x^2 - x^2 + x + 2 = 8: removing the brackets, changes the signs
:
x = 8 - 2: x^2's eliminated, subtract 2 from both sides
:
x = 6
:
:
Check solution in original equation:
� =
:
� =
:
� =
:
� = ; confirms our solution of x = 6
:

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