SOLUTION: Homework example. Please show me how to solve this complex fraction. Thanks! (3/x-2)+(21/x^2-4)=(14/x+2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Homework example. Please show me how to solve this complex fraction. Thanks! (3/x-2)+(21/x^2-4)=(14/x+2)      Log On


   



Question 78346: Homework example. Please show me how to solve this complex fraction. Thanks!
(3/x-2)+(21/x^2-4)=(14/x+2)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3/x-2)+(21/x^2-4)=(14/x+2)
The lcm of the denominators is x^2-4.
Multiply thru the equation by the lcm to get:
2(x+2)+21 = 14(x-2)
2x+4+21 = 14x-28
12x=28+4+21
12x=53
x=53/12
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Cheers,
Stan H.