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2x/x-2=5+(4x^2/x-2)

Solution

2x/(x-2)=5+(4x^2/(x-2))

2x/(x-2)=(5(x-2) +4x^2)/(x-2)

2x =(5(x-2) +4x^2)

2x =5x-10 +4x^2

4x^2 +3x -10=0

4x^2 +8x-5x -10=0

4x(x+2) -5(x+2)=0

(4x-5)(x+2)=0

x+2=0,4x-5=0

x=-2 , x=5/4