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coreyander
If \(n\neq{0}\) and \(\frac{x}{n^2}=4-\frac{3n^2-5n}{n^2}\), then what is the value of x in terms of n?

A) \(n^2 – 5n\)
B) \(–n^2 + 5n\)
C) \(n^2 + 5n\)
D) \(4 – 3n^2 – 5n\)
E) \(4 – 3n^2 + 5n\)

The question stars with "what is x" so we are asking for what is "x =". We need all x on the left side and the rest on the right, conveniently enough we only need to move over the \(n^2\) term to do so.

Then we get \(x = 4n^2 - (3n^2 - 5n) = n^2 + 5n\)

Ans: C
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Explanation:

x/n^2 = 4 - (3n^2 - 5n)/n^2
x/n^2 = (4n^2-3n^2+5n)/n^2
x = n^2 + 5n
x = n^2 + 5n

IMO-C
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x = (4−(3n^2−5n)/n^2)n^2
= 4n^2 - 3n^2 +5n
= n^2 + 5n
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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