(x^2-9)/(x+3)=3

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Solution for (x^2-9)/(x+3)=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)

(x^2-9)/(x+3) = 3 // - 3

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

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

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

x^2-3*x-18 = 0

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

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

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

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

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -3} 

x = 6

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