(-2/x-4)=(2/5x-20)+1

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Solution for (-2/x-4)=(2/5x-20)+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

-2/x-4 = (2/5)*x-20+1 // - (2/5)*x-20+1

20-((2/5)*x)-2/x-4-1 = 0

(-2/5)*x-2/x-4-1+20 = 0

15*x^0-2/5*x^1-2*x^-1 = 0

(15*x^1-2/5*x^2-2*x^0)/(x^1) = 0 // * x^2

x^1*(15*x^1-2/5*x^2-2*x^0) = 0

x^1

(-2/5)*x^2+15*x-2 = 0

(-2/5)*x^2+15*x-2 = 0

DELTA = 15^2-(-2*4*(-2/5))

DELTA = 1109/5

DELTA > 0

x = ((1109/5)^(1/2)-15)/(2*(-2/5)) or x = (-(1109/5)^(1/2)-15)/(2*(-2/5))

x = -5/4*((1109/5)^(1/2)-15) or x = 5/4*((1109/5)^(1/2)+15)

x in { -5/4*((1109/5)^(1/2)-15), 5/4*((1109/5)^(1/2)+15)} 

x in { -5/4*((1109/5)^(1/2)-15), 5/4*((1109/5)^(1/2)+15) }

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