4/x-2=8/4x

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Solution for 4/x-2=8/4x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-2 = (8/4)*x // - (8/4)*x

4/x-((8/4)*x)-2 = 0

4/x-2*x-2 = 0

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

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

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

x^1

4-2*x^2-2*x = 0

4-2*x^2-2*x = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(-2*2) or x = (2-36^(1/2))/(-2*2)

x = -2 or x = 1

x in { -2, 1} 

x in { -2, 1 }

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