(9/x-6)(x^(2)-36/11x)

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Solution for (9/x-6)(x^(2)-36/11x) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(9/x-6)*(x^2-((36/11)*x)) = 0

(9/x-6)*(x^2+(-36/11)*x) = 0

(9*x^-1-6)*(x^2-36/11*x) = 0

x^2-36/11*x = 0

x*(x-36/11) = 0

x-36/11 = 0 // + 36/11

x = 36/11

x*(x-36/11) = 0

x*(9*x^-1-6)*(x-36/11) = 0

( 9*x^-1-6 )

9*x^-1 = 6 // : 9

x^-1 = 2/3

-1 < 0

1/(x^1) = 2/3 // * x^1

1 = 2/3*x^1 // : 2/3

3/2 = x^1

x = 3/2

( x-36/11 )

x-36/11 = 0 // + 36/11

x = 36/11

( x )

x = 0

x in { 0} 

x in { 3/2, 36/11 }

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