30/x=3x/10

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Solution for 30/x=3x/10 equation: 


D( x )

x = 0

x = 0

x = 0

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

30/x = (3*x)/10 // - (3*x)/10

30/x-((3*x)/10) = 0

(-3/10)*x+30/x = 0

30*x^-1-3/10*x^1 = 0

(30*x^0-3/10*x^2)/(x^1) = 0 // * x^2

x^1*(30*x^0-3/10*x^2) = 0

x^1

(-3/10)*x^2+30 = 0

(-3/10)*x^2+30 = 0

DELTA = 0^2-(4*30*(-3/10))

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(2*(-3/10)) or x = (0-36^(1/2))/(2*(-3/10))

x = -10 or x = 10

x in { -10, 10} 

x in { -10, 10 }

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