(2)/(a+3)+(5)/(a-3)=(6a)/(a^2-9)

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Solution for (2)/(a+3)+(5)/(a-3)=(6a)/(a^2-9) equation:


D( a )

a+3 = 0

a^2-9 = 0

a-3 = 0

a+3 = 0

a+3 = 0

a+3 = 0 // - 3

a = -3

a^2-9 = 0

a^2-9 = 0

1*a^2 = 9 // : 1

a^2 = 9

a^2 = 9 // ^ 1/2

abs(a) = 3

a = 3 or a = -3

a-3 = 0

a-3 = 0

a-3 = 0 // + 3

a = 3

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

2/(a+3)+5/(a-3) = (6*a)/(a^2-9) // - (6*a)/(a^2-9)

2/(a+3)+5/(a-3)-((6*a)/(a^2-9)) = 0

2/(a+3)+5/(a-3)-6*a*(a^2-9)^-1 = 0

2/(a+3)+5/(a-3)+(-6*a)/(a^2-9) = 0

(2*(a-3)*(a^2-9))/((a+3)*(a-3)*(a^2-9))+(5*(a+3)*(a^2-9))/((a+3)*(a-3)*(a^2-9))+(-6*a*(a+3)*(a-3))/((a+3)*(a-3)*(a^2-9)) = 0

2*(a-3)*(a^2-9)+5*(a+3)*(a^2-9)-6*a*(a+3)*(a-3) = 0

7*a^3-6*a^3+9*a^2-63*a+54*a-81 = 0

a^3+9*a^2-9*a-81 = 0

a^3+9*a^2-9*a-81 = 0

a^3+9*a^2-9*a-81

9*(a^2-9)+a^3-9*a

a*(a^2-9)+9*(a^2-9)

(a+9)*(a^2-9)

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

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

(a+9)*(a^2-9) = 0

( a+9 )

a+9 = 0 // - 9

a = -9

( a^2-9 )

1*a^2 = 9 // : 1

a^2 = 9

a^2 = 9 // ^ 1/2

abs(a) = 3

a = 3 or a = -3

a in { 3}

a in { -3}

a = -9

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