y=x/(x+4)

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Solution for y=x/(x+4) equation:


D( x )

x+4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

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

y = x/(x+4) // - x/(x+4)

y-(x/(x+4)) = 0

(-1*x)/(x+4)+y = 0

(-1*x)/(x+4)+(y*(x+4))/(x+4) = 0

y*(x+4)-1*x = 0

x*y-x+4*y = 0

x*y-x+4*y = 0

x*y+4*y = 0 // - 4*y

x*y = -(4*y) // : y

x = (-(4*y))/y

x = -4

x+4 = 0

(x+4)/(x+4) = 0

(x+4)/(x+4) = 0 // * x+4

x+4 = 0

x+4 = 0 // - 4

x = -4

x in { -4}

x belongs to the empty set

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