(2x^2+19x+45)/(x+6)

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Solution for (2x^2+19x+45)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

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

(2*x^2+19*x+45)/(x+6) = 0

2*x^2+19*x+45 = 0

2*x^2+19*x+45 = 0

DELTA = 19^2-(2*4*45)

DELTA = 1

DELTA > 0

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

x = -9/2 or x = -5

(x+5)*(x+9/2) = 0

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

( x+5 )

x+5 = 0 // - 5

x = -5

( x+9/2 )

x+9/2 = 0 // - 9/2

x = -9/2

x in { -5, -9/2 }

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