(x)/(3x-5)=-5

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


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

x/(3*x-5) <= -5 // + 5

x/(3*x-5)+5 <= 0

x/(3*x-5)+(5*(3*x-5))/(3*x-5) <= 0

5*(3*x-5)+x <= 0

16*x-25 <= 0

(16*x-25)/(3*x-5) <= 0

(16*x-25)/(3*x-5) <= 0 // * (3*x-5)^2

(16*x-25)*(3*x-5) <= 0

( 16*x-25 )

16*x-25 <= 0 // + 25

16*x <= 25 // : 16

x <= 25/16

( 3*x-5 )

3*x-5 <= 0 // + 5

3*x <= 5 // : 3

x <= 5/3

(-oo:25/16) (25/16:5/3) (5/3:+oo) 16*x-25 - + + 3*x-5 - - +

x in <25/16:5/3)

<25/16:5/3)

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