(5)(x+3)+(3)=(4x)/(x+3)

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Solution for (5)(x+3)+(3)=(4x)/(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)

5*(x+3)+3 = (4*x)/(x+3) // - (4*x)/(x+3)

5*(x+3)-((4*x)/(x+3))+3 = 0

5*(x+3)-4*x*(x+3)^-1+3 = 0

5*(x+3)+(-4*x)/(x+3)+3 = 0

(5*(x+3)^2)/(x+3)+(-4*x)/(x+3)+(3*(x+3))/(x+3) = 0

5*(x+3)^2+3*(x+3)-4*x = 0

5*x^2+26*x+3*x+9+45 = 0

5*x^2+29*x+54 = 0

5*x^2+29*x+54 = 0

5*x^2+29*x+54 = 0

DELTA = 29^2-(4*5*54)

DELTA = -239

DELTA < 0

1 = 0

1/(x+3) = 0

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

1 = 0

x belongs to the empty set

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