(x^2-6x-16)/(x^2+8x+12)=2

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Solution for (x^2-6x-16)/(x^2+8x+12)=2 equation:


D( x )

x^2+8*x+12 = 0

x^2+8*x+12 = 0

x^2+8*x+12 = 0

x^2+8*x+12 = 0

DELTA = 8^2-(1*4*12)

DELTA = 16

DELTA > 0

x = (16^(1/2)-8)/(1*2) or x = (-16^(1/2)-8)/(1*2)

x = -2 or x = -6

x in (-oo:-6) U (-6:-2) U (-2:+oo)

(x^2-(6*x)-16)/(x^2+8*x+12) = 2 // - 2

(x^2-(6*x)-16)/(x^2+8*x+12)-2 = 0

(x^2-6*x-16)/(x^2+8*x+12)-2 = 0

x^2+8*x+12 = 0

x^2+8*x+12 = 0

x^2+8*x+12 = 0

DELTA = 8^2-(1*4*12)

DELTA = 16

DELTA > 0

x = (16^(1/2)-8)/(1*2) or x = (-16^(1/2)-8)/(1*2)

x = -2 or x = -6

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

(x^2-6*x-16)/((x+6)*(x+2))-2 = 0

(x^2-6*x-16)/((x+6)*(x+2))+(-2*(x+6)*(x+2))/((x+6)*(x+2)) = 0

x^2-2*(x+6)*(x+2)-6*x-16 = 0

-x^2-22*x-40 = 0

-x^2-22*x-40 = 0

-1*(x^2+22*x+40) = 0

x^2+22*x+40 = 0

DELTA = 22^2-(1*4*40)

DELTA = 324

DELTA > 0

x = (324^(1/2)-22)/(1*2) or x = (-324^(1/2)-22)/(1*2)

x = -2 or x = -20

-1*(x+20)*(x+2) = 0

(-1*(x+20)*(x+2))/((x+6)*(x+2)) = 0

(-1*(x+20)*(x+2))/((x+6)*(x+2)) = 0 // * (x+6)*(x+2)

-1*(x+20)*(x+2) = 0

( x+20 )

x+20 = 0 // - 20

x = -20

( x+2 )

x+2 = 0 // - 2

x = -2

x in { -2}

x = -20

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