(7/(3x+6))-(4/(x+3))=(14/(x^2+5x+6))

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Solution for (7/(3x+6))-(4/(x+3))=(14/(x^2+5x+6)) equation: 


D( x )

3*x+6 = 0

x^2+5*x+6 = 0

x+3 = 0

3*x+6 = 0

3*x+6 = 0

3*x+6 = 0 // - 6

3*x = -6 // : 3

x = -6/3

x = -2

x^2+5*x+6 = 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 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:-2) U (-2:+oo)

7/(3*x+6)-(4/(x+3)) = 14/(x^2+5*x+6) // - 14/(x^2+5*x+6)

7/(3*x+6)-(4/(x+3))-(14/(x^2+5*x+6)) = 0

7/(3*x+6)-4*(x+3)^-1-14*(x^2+5*x+6)^-1 = 0

7/(3*x+6)-4/(x+3)-14/(x^2+5*x+6) = 0

x^2+5*x+6 = 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

7/(3*x+6)-4/(x+3)-14/((x+3)*(x+2)) = 0

(7*(x+3))/((3*x+6)*(x+3))+(-4*(3*x+6))/((3*x+6)*(x+3))+(-14*(3*x+6))/((3*x+6)*(x+3)) = 0

7*(x+3)-4*(3*x+6)-14*(3*x+6) = 0

-5*x-42*x-84-3 = 0

-47*x-87 = 0

(-47*x-87)/((3*x+6)*(x+3)) = 0

(-47*x-87)/((3*x+6)*(x+3)) = 0 // * (3*x+6)*(x+3)

-47*x-87 = 0

-47*x-87 = 0 // + 87

-47*x = 87 // : -47

x = 87/(-47)

x = -87/47

x = -87/47

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