(3x^2+19x+30)/(x+4)

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Solution for (3x^2+19x+30)/(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)

(3*x^2+19*x+30)/(x+4) = 0

3*x^2+19*x+30 = 0

3*x^2+19*x+30 = 0

DELTA = 19^2-(3*4*30)

DELTA = 1

DELTA > 0

x = (1^(1/2)-19)/(2*3) or x = (-1^(1/2)-19)/(2*3)

x = -3 or x = -10/3

(x+10/3)*(x+3) = 0

((x+10/3)*(x+3))/(x+4) = 0

( x+10/3 )

x+10/3 = 0 // - 10/3

x = -10/3

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -10/3, -3 }

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