((4x/x+3)-4)=((x-30/x-3))

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Solution for ((4x/x+3)-4)=((x-30/x-3)) equation: 


D( x )

x = 0

x = 0

x = 0

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

(4*x)/x-4+3 = x-(30/x)-3 // - x-(30/x)-3

30/x-x+(4*x)/x-4+3+3 = 0

30*x^-1-1*x^1+6*x^0 = 0

(6*x^1-1*x^2+30*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^1-1*x^2+30*x^0) = 0

x^1

6*x-x^2+30 = 0

6*x-x^2+30 = 0

DELTA = 6^2-(-1*4*30)

DELTA = 156

DELTA > 0

x = (156^(1/2)-6)/(-1*2) or x = (-156^(1/2)-6)/(-1*2)

x = (2*39^(1/2)-6)/(-2) or x = (-2*39^(1/2)-6)/(-2)

x in { (2*39^(1/2)-6)/(-2), (-2*39^(1/2)-6)/(-2)} 

x in { (2*39^(1/2)-6)/(-2), (-2*39^(1/2)-6)/(-2) }

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