(2/x)+4=(2/3x)

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Solution for (2/x)+4=(2/3x) equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x+4 = (2/3)*x // - (2/3)*x

2/x-((2/3)*x)+4 = 0

(-2/3)*x+2/x+4 = 0

2*x^-1-2/3*x^1+4*x^0 = 0

(4*x^1-2/3*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-2/3*x^2+2*x^0) = 0

x^1

(-2/3)*x^2+4*x+2 = 0

(-2/3)*x^2+4*x+2 = 0

DELTA = 4^2-(2*4*(-2/3))

DELTA = 64/3

DELTA > 0

x = ((64/3)^(1/2)-4)/(2*(-2/3)) or x = (-(64/3)^(1/2)-4)/(2*(-2/3))

x = -3/4*((64/3)^(1/2)-4) or x = 3/4*((64/3)^(1/2)+4)

x in { -3/4*((64/3)^(1/2)-4), 3/4*((64/3)^(1/2)+4)} 

x in { -3/4*((64/3)^(1/2)-4), 3/4*((64/3)^(1/2)+4) }

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