2/x-3=8/3x-3

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Solution for 2/x-3=8/3x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-3 = (8/3)*x-3 // - (8/3)*x-3

2/x-((8/3)*x)-3+3 = 0

(-8/3)*x+2/x-3+3 = 0

2*x^-1-8/3*x^1 = 0

(2*x^0-8/3*x^2)/(x^1) = 0 // * x^2

x^1*(2*x^0-8/3*x^2) = 0

x^1

(-8/3)*x^2+2 = 0

(-8/3)*x^2+2 = 0

DELTA = 0^2-(2*4*(-8/3))

DELTA = 64/3

DELTA > 0

x = ((64/3)^(1/2)+0)/(2*(-8/3)) or x = (0-(64/3)^(1/2))/(2*(-8/3))

x = -3/16*(64/3)^(1/2) or x = 3/16*(64/3)^(1/2)

x in { -3/16*(64/3)^(1/2), 3/16*(64/3)^(1/2)}

x in { -3/16*(64/3)^(1/2), 3/16*(64/3)^(1/2) }

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