3X/(X^2-9)-2/(3X+9)

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Solution for 3X/(X^2-9)-2/(3X+9) equation: 


D( X )

3*X+9 = 0

X^2-9 = 0

3*X+9 = 0

3*X+9 = 0

3*X+9 = 0 // - 9

3*X = -9 // : 3

X = -9/3

X = -3

X^2-9 = 0

X^2-9 = 0

1*X^2 = 9 // : 1

X^2 = 9

X^2 = 9 // ^ 1/2

abs(X) = 3

X = 3 or X = -3

X in (-oo:-3) U (-3:3) U (3:+oo)

(3*X)/(X^2-9)-(2/(3*X+9)) = 0

(3*X)/(X^2-9)-2*(3*X+9)^-1 = 0

(3*X)/(X^2-9)-2/(3*X+9) = 0

(3*X*(3*X+9))/((X^2-9)*(3*X+9))+(-2*(X^2-9))/((X^2-9)*(3*X+9)) = 0

3*X*(3*X+9)-2*(X^2-9) = 0

7*X^2+27*X+18 = 0

7*X^2+27*X+18 = 0

7*X^2+27*X+18 = 0

DELTA = 27^2-(4*7*18)

DELTA = 225

DELTA > 0

X = (225^(1/2)-27)/(2*7) or X = (-225^(1/2)-27)/(2*7)

X = -6/7 or X = -3

(X+3)*(X+6/7) = 0

((X+3)*(X+6/7))/((X^2-9)*(3*X+9)) = 0

((X+3)*(X+6/7))/((X^2-9)*(3*X+9)) = 0 // * (X^2-9)*(3*X+9)

(X+3)*(X+6/7) = 0

( X+3 )

X+3 = 0 // - 3

X = -3

( X+6/7 )

X+6/7 = 0 // - 6/7

X = -6/7

X in { -3} 

X = -6/7

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