(3x)/2=8/(3x)

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Solution for (3x)/2=8/(3x) 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*x)/2 = 8/(3*x) // - 8/(3*x)

(3*x)/2-(8/(3*x)) = 0

(3*x)/2+(-8/3)*x^-1 = 0

3/2*x^1-8/3*x^-1 = 0

(3/2*x^2-8/3*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2-8/3*x^0) = 0

x^1

(3/2)*x^2-8/3 = 0

(3/2)*x^2-8/3 = 0

DELTA = 0^2-(4*(3/2)*(-8/3))

DELTA = 16

DELTA > 0

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

x = 4/3 or x = -4/3

x in { -4/3, 4/3} 

x in { -4/3, 4/3 }

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