54/(3x)-2x=0

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Solution for 54/(3x)-2x=0 equation: 


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

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

54/(3*x)-(2*x) = 0

54/(3*x)-2*x = 0

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

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

x^1*(18*x^0-2*x^2) = 0

x^1

18-2*x^2 = 0

18-2*x^2 = 0

DELTA = 0^2-(-2*4*18)

DELTA = 144

DELTA > 0

x = (144^(1/2)+0)/(-2*2) or x = (0-144^(1/2))/(-2*2)

x = -3 or x = 3

x in { -3, 3} 

x in { -3, 3 }

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