(3a-9)/(3a-6)*(a/a^2-9)

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Solution for (3a-9)/(3a-6)*(a/a^2-9) equation: 


D( a )

a^2 = 0

3*a-6 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

3*a-6 = 0

3*a-6 = 0

3*a-6 = 0 // + 6

3*a = 6 // : 3

a = 6/3

a = 2

a in (-oo:0) U (0:2) U (2:+oo)

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

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

( 3*a-9 )

3*a-9 = 0 // + 9

3*a = 9 // : 3

a = 9/3

a = 3

( a^-1-9 )

1*a^-1 = 9 // : 1

a^-1 = 9

-1 < 0

1/(a^1) = 9 // * a^1

1 = 9*a^1 // : 9

1/9 = a^1

a = 1/9

a in { 3, 1/9 }

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