SOLUTION: Can someone please help me solve this question: (n over n-4/9)- (n over n+4/9)= (1 over n)

Question 199270: Can someone please help me solve this question:
(n over n-4/9)- (n over n+4/9)= (1 over n)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Factor out (to make the inside terms have whole numbers)

Multiply both the numerator and denominator by the reciprocal of

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify

Rearrange the terms.

Multiply

Distribute

Combine like terms.

FOIL

Subtract from both sides.

Combine like terms.

Divide both sides by -9.

Reduce

Take the square root of both sides.

or Break up the "plus/minus"

or Take the square root of to get

So the solutions are or

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