SOLUTION: 1/x-2+6/x+2=-2x/x^2-4 the solution is x = solve the following equation for the variable of x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1/x-2+6/x+2=-2x/x^2-4 the solution is x = solve the following equation for the variable of x      Log On


   

Question 201292: 1/x-2+6/x+2=-2x/x^2-4 the solution is x =
solve the following equation for the variable of x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/x-2+6/x+2=-2x/x^2-4
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(x-2)*(x+2) = x^2-4 so that's the denominator.
Multiply thru by that.
(x+2) +6(x-2) = -2x
x+2 +6x-12 = -2x
7x-10 = -2x
9x = 10
x = 10/9