SOLUTION: 9/x-4 = 9x+36/? How will I solve if neither of the numerator or the denominator is missing?

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Question 240663: 9/x-4 = 9x+36/?
How will I solve if neither of the numerator or the denominator is missing?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the ? be represented by z. Now solve for z
9%2F%28x-4%29+=+%289x%2B36%29%2Fz+ Use distribution on the left side numerator
9%2F%28x-4%29+=+%289%2A%28x%2B4%29%29%2Fz+ divide both sides by 9
1%2F%28x%2B4%29+=+%28x%2B4%29%2Fz multiply both sides by z
z%2F%28x%2B4%29+=+%28x%2B4%29 isolate z
z+=+%28x%2B4%29%28x-4%29 simplify
z+=+x%5E2-16