SOLUTION: solve the equation 5/2x-3 = 2x/x+4 please help me solve this equation

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Question 197267: solve the equation
5/2x-3 = 2x/x+4
please help me solve this equation

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Cross multiply


Distribute


Get all terms to the right side


Combine like terms.


Notice we have a quadratic in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the solutions are or

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