40/x-2=30-x

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Solution for 40/x-2=30-x equation: 


D( x )

x = 0

x = 0

x = 0

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

40/x-2 = 30-x // - 30-x

x+40/x-30-2 = 0

1*x^1+40*x^-1-32*x^0 = 0

(1*x^2-32*x^1+40*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-32*x^1+40*x^0) = 0

x^1

x^2-32*x+40 = 0

x^2-32*x+40 = 0

DELTA = (-32)^2-(1*4*40)

DELTA = 864

DELTA > 0

x = (864^(1/2)+32)/(1*2) or x = (32-864^(1/2))/(1*2)

x = (12*6^(1/2)+32)/2 or x = (32-12*6^(1/2))/2

x in { (32-12*6^(1/2))/2, (12*6^(1/2)+32)/2} 

x in { (32-12*6^(1/2))/2, (12*6^(1/2)+32)/2 }

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