x-12/3-x=x+18/x+6

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Solution for x-12/3-x=x+18/x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-x-(12/3) = x+18/x+6 // - x+18/x+6

x-x-x-(18/x)-(12/3)-6 = 0

x-x-x-18*x^-1-6-4 = 0

-1*x^1-18*x^-1-10*x^0 = 0

(-1*x^2-10*x^1-18*x^0)/(x^1) = 0 // * x^2

x^1*(-1*x^2-10*x^1-18*x^0) = 0

x^1

-x^2-10*x-18 = 0

-x^2-10*x-18 = 0

DELTA = (-10)^2-(-18*(-1)*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)+10)/(-1*2) or x = (10-28^(1/2))/(-1*2)

x = (2*7^(1/2)+10)/(-2) or x = (10-2*7^(1/2))/(-2)

x in { (2*7^(1/2)+10)/(-2), (10-2*7^(1/2))/(-2)} 

x in { (2*7^(1/2)+10)/(-2), (10-2*7^(1/2))/(-2) }

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