15/12x=6/x

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Solution for 15/12x=6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(15/12)*x = 6/x // - 6/x

(15/12)*x-(6/x) = 0

(15/12)*x-6*x^-1 = 0

5/4*x^1-6*x^-1 = 0

(5/4*x^2-6*x^0)/(x^1) = 0 // * x^2

x^1*(5/4*x^2-6*x^0) = 0

x^1

(5/4)*x^2-6 = 0

(5/4)*x^2-6 = 0

DELTA = 0^2-(-6*4*(5/4))

DELTA = 30

DELTA > 0

x = (30^(1/2)+0)/(2*(5/4)) or x = (0-30^(1/2))/(2*(5/4))

x = 2/5*30^(1/2) or x = 2/5*30^(1/2)

x in { 2/5*30^(1/2), 2/5*30^(1/2)} 

x in { 2/5*30^(1/2), 2/5*30^(1/2) }

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