Question 568627: I have no idea why I got a certain answer. This is my problem: 5/6x+30=x then I multiplied both by 6 and added them together to get 185. Am I correct? If so, how does that answer work?
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! Nice try but you needed to multiply all terms by 6x.
If your question is (5/6x) + 30 = x, then your answer will be positive and negative for x.
(5/6x) + 30 = x
6x * (5/6x) + 30 * 6x = x * 6x
5 + 1800x = 6x^2
6x^2 - 1800x -5 = 0
This is quadratic equation.
Using the quadratic formula (I assume that you know how to use this formula),
I got the following two answers for x.
x = [90 + sqrt{8130}]/6 and x = [90 - sqrt{8130}]/6
NOTEL sqrt = square root for short
If you need to learn how to use the quadratic formula, watch this video clip.
http://www.youtube.com/watch?v=UgIF7Q7lAuc
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