4/x-4=2/5x

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Solution for 4/x-4=2/5x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-4 = (2/5)*x // - (2/5)*x

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

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

4*x^-1-2/5*x^1-4*x^0 = 0

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

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

x^1

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

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

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

DELTA = 112/5

DELTA > 0

x = ((112/5)^(1/2)+4)/(2*(-2/5)) or x = (4-(112/5)^(1/2))/(2*(-2/5))

x = -5/4*((112/5)^(1/2)+4) or x = -5/4*(4-(112/5)^(1/2))

x in { -5/4*((112/5)^(1/2)+4), -5/4*(4-(112/5)^(1/2))} 

x in { -5/4*((112/5)^(1/2)+4), -5/4*(4-(112/5)^(1/2)) }

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