-((x/x-4)+9)=((6x)/(x-4))

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Solution for -((x/x-4)+9)=((6x)/(x-4)) equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

-(x/x-4+9) = (6*x)/(x-4) // - (6*x)/(x-4)

4-((6*x)/(x-4))-(x/x)-9 = 0

4-6*x*(x-4)^-1-9-1 = 0

(-6*x)/(x-4)-9-1+4 = 0

(-6*x)/(x-4)+(-9*(x-4))/(x-4)+(-1*(x-4))/(x-4)+(4*(x-4))/(x-4) = 0

4*(x-4)-9*(x-4)-1*(x-4)-6*x = 0

4*x-15*x-x-16+4+36 = 0

4*x-16*x-16+40 = 0

24-12*x = 0

(24-12*x)/(x-4) = 0

(24-12*x)/(x-4) = 0 // * x-4

24-12*x = 0

24-12*x = 0 // - 24

-12*x = -24 // : -12

x = -24/(-12)

x = 2

x = 2

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