(3)/(-3*x)=(-6*x)/(4)

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Solution for (3)/(-3*x)=(-6*x)/(4) 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)

3/(-3*x) = (-6*x)/4 // - (-6*x)/4

3/(-3*x)-((-6*x)/4) = 0

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

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

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

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

x^1

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

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

DELTA = 0^2-(-1*4*(3/2))

DELTA = 6

DELTA > 0

x = (6^(1/2)+0)/(2*(3/2)) or x = (0-6^(1/2))/(2*(3/2))

x = (6^(1/2))/3 or x = (-6^(1/2))/3

x in { (-6^(1/2))/3, (6^(1/2))/3} 

x in { (-6^(1/2))/3, (6^(1/2))/3 }

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