x/2+6x/(x-3)

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Solution for x/2+6x/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

(6*x)/(x-3)+x/2 = 0

(2*6*x)/(2*(x-3))+(x*(x-3))/(2*(x-3)) = 0

x*(x-3)+2*6*x = 0

x^2+9*x = 0

x^2+9*x = 0

x*(x+9) = 0

x+9 = 0 // - 9

x = -9

x*(x+9) = 0

(x*(x+9))/(2*(x-3)) = 0

(x*(x+9))/(2*(x-3)) = 0 // * 2*(x-3)

x*(x+9) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x )

x = 0

x in { -9, 0 }

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