x-3-6/(x+2)

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


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

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

x-6*(x+2)^-1-3 = 0

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

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

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

x^2+2*x-3*x-6-6 = 0

x^2-x-12 = 0

x^2-x-12 = 0

x^2-x-12 = 0

DELTA = (-1)^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)

x = 4 or x = -3

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

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

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

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -3, 4 }

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