2x/-3=x-2/x

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Solution for 2x/-3=x-2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

2*x^-1-5/3*x^1 = 0

(2*x^0-5/3*x^2)/(x^1) = 0 // * x^2

x^1*(2*x^0-5/3*x^2) = 0

x^1

(-5/3)*x^2+2 = 0

(-5/3)*x^2+2 = 0

DELTA = 0^2-(2*4*(-5/3))

DELTA = 40/3

DELTA > 0

x = ((40/3)^(1/2)+0)/(2*(-5/3)) or x = (0-(40/3)^(1/2))/(2*(-5/3))

x = -3/10*(40/3)^(1/2) or x = 3/10*(40/3)^(1/2)

x in { -3/10*(40/3)^(1/2), 3/10*(40/3)^(1/2)} 

x in { -3/10*(40/3)^(1/2), 3/10*(40/3)^(1/2) }

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