x^2/(x+4)=16/(x+4)

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Solution for x^2/(x+4)=16/(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)

(x^2)/(x+4) = 16/(x+4) // - 16/(x+4)

(x^2)/(x+4)-(16/(x+4)) = 0

(x^2)/(x+4)-16*(x+4)^-1 = 0

(x^2)/(x+4)-16/(x+4) = 0

x^2-16 = 0

(x^2-16)/(x+4) = 0

(x^2-16)/(x+4) = 0 // * x+4

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { -4} 

x = 4

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