x+9=(-20)/x

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Solution for x+9=(-20)/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+9 = -20/x // + -20/x

x-(-20/x)+9 = 0

x+20*x^-1+9 = 0

1*x^1+20*x^-1+9*x^0 = 0

(1*x^2+9*x^1+20*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+9*x^1+20*x^0) = 0

x^1

x^2+9*x+20 = 0

x^2+9*x+20 = 0

DELTA = 9^2-(1*4*20)

DELTA = 1

DELTA > 0

x = (1^(1/2)-9)/(1*2) or x = (-1^(1/2)-9)/(1*2)

x = -4 or x = -5

x in { -5, -4} 

x in { -5, -4 }

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