5x+7/3x-2-x-1/x-3=2x+7/x-3

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Solution for 5x+7/3x-2-x-1/x-3=2x+7/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

5*x+(7/3)*x-x-(1/x)-3-2 = 2*x+7/x-3 // - 2*x+7/x-3

5*x+(7/3)*x-x-(2*x)-(1/x)-(7/x)-3-2+3 = 0

5*x+(7/3)*x-x-2*x-x^-1-7*x^-1-3-2+3 = 0

13/3*x^1-8*x^-1-2*x^0 = 0

(13/3*x^2-2*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(13/3*x^2-2*x^1-8*x^0) = 0

x^1

(13/3)*x^2-2*x-8 = 0

(13/3)*x^2-2*x-8 = 0

DELTA = (-2)^2-(-8*4*(13/3))

DELTA = 428/3

DELTA > 0

x = ((428/3)^(1/2)+2)/(2*(13/3)) or x = (2-(428/3)^(1/2))/(2*(13/3))

x = 3/26*((428/3)^(1/2)+2) or x = 3/26*(2-(428/3)^(1/2))

x in { 3/26*(2-(428/3)^(1/2)), 3/26*((428/3)^(1/2)+2)} 

x in { 3/26*(2-(428/3)^(1/2)), 3/26*((428/3)^(1/2)+2) }

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