x/9x^2-6x0

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Solution for x/9x^2-6x0 equation: 


x in (-oo:+oo)

(x/9)*x^2-(6*x) > 0

(x/9)*x^2-6*x > 0

1/9*x^3-6*x = 0

x*(1/9*x^2-6) = 0

1/9*x^2 = 6 // : 1/9

x^2 = 54

x^2 = 54 // ^ 1/2

abs(x) = 3*6^(1/2)

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

x = 0

x = 0

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

	(-oo:-(3*6^(1/2)))	(-(3*6^(1/2)):0)	(0:3*6^(1/2))	(3*6^(1/2):+oo)
x-3*6^(1/2)	-	-	-	+
x+3*6^(1/2)	-	+	+	+
x	-	-	+	+


x in (-(3*6^(1/2)):0) U (3*6^(1/2):+oo)

(-(3*6^(1/2)):0) U (3*6^(1/2):+oo)

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