((3x)/(x-7))-((x+7)/x)

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Solution for ((3x)/(x-7))-((x+7)/x) equation: 


D( x )

x-7 = 0

x = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x = 0

x = 0

x in (-oo:0) U (0:7) U (7:+oo)

(3*x)/(x-7)-((x+7)/x) = 0

(3*x)/(x-7)+(-1*(x+7))/x = 0

(3*x*x)/(x*(x-7))+(-1*(x+7)*(x-7))/(x*(x-7)) = 0

3*x*x-1*(x+7)*(x-7) = 0

2*x^2+49 = 0

(2*x^2+49)/(x*(x-7)) = 0

(2*x^2+49)/(x*(x-7)) = 0 // * x*(x-7)

2*x^2+49 = 0

2*x^2 = -49 // : 2

x^2 = -49/2

x belongs to the empty set

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