(125x-108)/(14x-15)8

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Solution for (125x-108)/(14x-15)8 equation: 


D( x )

14*x-15 = 0

14*x-15 = 0

14*x-15 = 0

14*x-15 = 0 // + 15

14*x = 15 // : 14

x = 15/14

x in (-oo:15/14) U (15/14:+oo)

(125*x-108)/(14*x-15) > 8 // - 8

(125*x-108)/(14*x-15)-8 > 0

(125*x-108)/(14*x-15)+(-8*(14*x-15))/(14*x-15) > 0

125*x-8*(14*x-15)-108 > 0

13*x+12 > 0

(13*x+12)/(14*x-15) > 0

(13*x+12)/(14*x-15) > 0 // * (14*x-15)^2

(13*x+12)*(14*x-15) > 0

( 13*x+12 )

13*x+12 > 0 // - 12

13*x > -12 // : 13

x > -12/13

( 14*x-15 )

14*x-15 > 0 // + 15

14*x > 15 // : 14

x > 15/14

	(-oo:-12/13)	(-12/13:15/14)	(15/14:+oo)
13*x+12	-	+	+
14*x-15	-	-	+


x in (-oo:-12/13) U (15/14:+oo)

(-oo:-12/13) U (15/14:+oo)

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