SOLUTION: Find All Real Solutions To The Equation 1/3x+18-1/2x+12=1/x^2+6x how do you solve a problem like this

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Question 342704: Find All Real Solutions To The Equation
1/3x+18-1/2x+12=1/x^2+6x
how do you solve a problem like this
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%283x%2B18%29-1%2F%282x%2B12%29=1%2F%28x%5E2%2B6x%29
Find a common denominato, x%28x%2B6%29=x%5E2%2B6x

Multiply both sides by 6,
%282x%29%2F%28x%28x%2B6%29%29-%283x%29%2F%28x%28x%2B6%29%29=6%2F%28x%28x%2B6%29%29
-%28x%29%2F%28x%28x%2B6%29%29=6%2F%28x%28x%2B6%29%29
highlight%28x=-6%29
The only issue is that x=-6 is not allowed as a solution since it would cause a division by zero.
There is no solution.