(2X/(X^2+15X+54))-(5/(X^2+8X+12))=0

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Solution for (2X/(X^2+15X+54))-(5/(X^2+8X+12))=0 equation:


D( X )

X^2+8*X+12 = 0

X^2+15*X+54 = 0

X^2+8*X+12 = 0

X^2+8*X+12 = 0

X^2+8*X+12 = 0

DELTA = 8^2-(1*4*12)

DELTA = 16

DELTA > 0

X = (16^(1/2)-8)/(1*2) or X = (-16^(1/2)-8)/(1*2)

X = -2 or X = -6

X^2+15*X+54 = 0

X^2+15*X+54 = 0

X^2+15*X+54 = 0

DELTA = 15^2-(1*4*54)

DELTA = 9

DELTA > 0

X = (9^(1/2)-15)/(1*2) or X = (-9^(1/2)-15)/(1*2)

X = -6 or X = -9

X in (-oo:-9) U (-9:-6) U (-6:-2) U (-2:+oo)

(2*X)/(X^2+15*X+54)-(5/(X^2+8*X+12)) = 0

(2*X)/(X^2+15*X+54)-5*(X^2+8*X+12)^-1 = 0

(2*X)/(X^2+15*X+54)-5/(X^2+8*X+12) = 0

X^2+15*X+54 = 0

X^2+15*X+54 = 0

X^2+15*X+54 = 0

DELTA = 15^2-(1*4*54)

DELTA = 9

DELTA > 0

X = (9^(1/2)-15)/(1*2) or X = (-9^(1/2)-15)/(1*2)

X = -6 or X = -9

(X+9)*(X+6) = 0

X^2+8*X+12 = 0

X^2+8*X+12 = 0

X^2+8*X+12 = 0

DELTA = 8^2-(1*4*12)

DELTA = 16

DELTA > 0

X = (16^(1/2)-8)/(1*2) or X = (-16^(1/2)-8)/(1*2)

X = -2 or X = -6

(X+6)*(X+2) = 0

(2*X)/((X+9)*(X+6))-5/((X+6)*(X+2)) = 0

(2*X)/((X+9)*(X+6))+(-5*(X+9))/((X+9)*(X+6)) = 0

2*X-5*(X+9) = 0

-3*X-45 = 0

(-3*X-45)/((X+9)*(X+6)) = 0

(-3*X-45)/((X+9)*(X+6)) = 0 // * (X+9)*(X+6)

-3*X-45 = 0

-3*X-45 = 0 // + 45

-3*X = 45 // : -3

X = 45/(-3)

X = -15

X = -15

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