x+21=-30/x

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Solution for x+21=-30/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+21 = -30/x // + -30/x

x-(-30/x)+21 = 0

x+30*x^-1+21 = 0

1*x^1+30*x^-1+21*x^0 = 0

(1*x^2+21*x^1+30*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+21*x^1+30*x^0) = 0

x^1

x^2+21*x+30 = 0

x^2+21*x+30 = 0

DELTA = 21^2-(1*4*30)

DELTA = 321

DELTA > 0

x = (321^(1/2)-21)/(1*2) or x = (-321^(1/2)-21)/(1*2)

x = (321^(1/2)-21)/2 or x = (-(321^(1/2)+21))/2

x in { (-(321^(1/2)+21))/2, (321^(1/2)-21)/2} 

x in { (-(321^(1/2)+21))/2, (321^(1/2)-21)/2 }

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