(x^2+5x+6)/(3x+9)

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Solution for (x^2+5x+6)/(3x+9) equation: 


D( x )

3*x+9 = 0

3*x+9 = 0

3*x+9 = 0

3*x+9 = 0 // - 9

3*x = -9 // : 3

x = -9/3

x = -3

x in (-oo:-3) U (-3:+oo)

(x^2+5*x+6)/(3*x+9) = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)

x = -2 or x = -3

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

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3} 

x = -2

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