5/x(3-x)/2

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Solution for 5/x(3-x)/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x < (3-x)/2 // - (3-x)/2

5/x-((3-x)/2) < 0

(-1*(3-x))/2+5/x < 0

(-1*x*(3-x))/(2*x)+(2*5)/(2*x) < 0

2*5-1*x*(3-x) < 0

x^2-3*x+10 < 0

x^2-3*x+10 = 0

x^2-3*x+10 = 0

DELTA = (-3)^2-(1*4*10)

DELTA = -31

DELTA < 0

1 = 0

1/(2*x) < 0

1/(2*x) < 0 // * (2*x)^2

2*x < 0

( 2 )

2 < 0

x belongs to the empty set

( x )

x+0 < 0 // - 0

x < 0

	(-oo:0)	(0:+oo)
2	+	+
x	-	+


x in (-oo:0)

(-oo:0)

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