96/x=3x/2

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Solution for 96/x=3x/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

(-3/2)*x+96/x = 0

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

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

x^1*(96*x^0-3/2*x^2) = 0

x^1

(-3/2)*x^2+96 = 0

(-3/2)*x^2+96 = 0

DELTA = 0^2-(4*96*(-3/2))

DELTA = 576

DELTA > 0

x = (576^(1/2)+0)/(2*(-3/2)) or x = (0-576^(1/2))/(2*(-3/2))

x = -8 or x = 8

x in { -8, 8} 

x in { -8, 8 }

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