Question 92929
According to the rules of algebra for interpreting the order of operations in single line 
expressions, the way you wrote this problem it should be interpreted as:
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{{{50 + 1.545*15/sqrt(n) = 55 - 2.326*15/sqrt(n)}}}
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If you meant the problem to be this, then you can get the answer this way:
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First multiply both sides (all terms) by {{{sqrt(n)}}} to get rid of the denominator.
When you do that multiplication, the equation becomes:
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{{{50sqrt(n) + (1.545*15) = 55sqrt(n) - (2.326*15)}}}
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Next do the multiplications inside the parentheses and the equation becomes:
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{{{50sqrt(n) + 23.175 = 55sqrt(n) - 34.89}}}
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Subtract {{{50sqrt(n)}}} from both sides to eliminate the {{{50sqrt(n)}}} on the left side,
and the equation reduces to:
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{{{ 23.175  = 5sqrt(n) - 34.89}}}
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Add 34.89 to both sides to eliminate the -34.89 on the right side and the resulting
equation is:
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{{{58.065 = 5sqrt(n)}}}
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Then divide both sides by 5 which is the multiplier of {{{sqrt(n)}}} to get:
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{{{11.613 = sqrt(n)}}}
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and finally square both sides and you end up with:
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134.86179 = n
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That's the answer, assuming that you intended the given problem to be in the form that
we started with above. If you meant the problem to be something else, then you need to
re-post it with a better definition of how it should be written.
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Hope this helps.