(x^2+8x+15)/(x+4)

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Solution for (x^2+8x+15)/(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)

(x^2+8*x+15)/(x+4) = 0

x^2+8*x+15 = 0

x^2+8*x+15 = 0

DELTA = 8^2-(1*4*15)

DELTA = 4

DELTA > 0

x = (4^(1/2)-8)/(1*2) or x = (-4^(1/2)-8)/(1*2)

x = -3 or x = -5

(x+5)*(x+3) = 0

((x+5)*(x+3))/(x+4) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -3, -5 }

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