16/x-3x=2

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Solution for 16/x-3x=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

16/x-3*x-2 = 0

16*x^-1-3*x^1-2*x^0 = 0

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

x^1*(16*x^0-3*x^2-2*x^1) = 0

x^1

16-3*x^2-2*x = 0

16-3*x^2-2*x = 0

DELTA = (-2)^2-(-3*4*16)

DELTA = 196

DELTA > 0

x = (196^(1/2)+2)/(-3*2) or x = (2-196^(1/2))/(-3*2)

x = -8/3 or x = 2

x in { -8/3, 2} 

x in { -8/3, 2 }

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