(7x)/(x^2+6x+8)+(2)/(x+4)

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Solution for (7x)/(x^2+6x+8)+(2)/(x+4) equation: 


D( x )

x+4 = 0

x^2+6*x+8 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x^2+6*x+8 = 0

x^2+6*x+8 = 0

x^2+6*x+8 = 0

DELTA = 6^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)-6)/(1*2) or x = (-4^(1/2)-6)/(1*2)

x = -2 or x = -4

x in (-oo:-4) U (-4:-2) U (-2:+oo)

(7*x)/(x^2+6*x+8)+2/(x+4) = 0

x^2+6*x+8 = 0

x^2+6*x+8 = 0

x^2+6*x+8 = 0

DELTA = 6^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)-6)/(1*2) or x = (-4^(1/2)-6)/(1*2)

x = -2 or x = -4

(x+4)*(x+2) = 0

(7*x)/((x+4)*(x+2))+2/(x+4) = 0

(7*x)/((x+4)*(x+2))+(2*(x+2))/((x+4)*(x+2)) = 0

2*(x+2)+7*x = 0

9*x+4 = 0

(9*x+4)/((x+4)*(x+2)) = 0

(9*x+4)/((x+4)*(x+2)) = 0 // * (x+4)*(x+2)

9*x+4 = 0

9*x+4 = 0 // - 4

9*x = -4 // : 9

x = -4/9

x = -4/9

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