5/(9x-54)-(1/x-6)=1/3

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Solution for 5/(9x-54)-(1/x-6)=1/3 equation: 



5/(9x-54)-(1/x-6)=1/3

We move all terms to the left:

5/(9x-54)-(1/x-6)-(1/3)=0



Domain of the equation: (9x-54)!=0

We move all terms containing x to the left, all other terms to the right

9x!=54

x!=54/9

x!=6

x∈R





Domain of the equation: x-6)!=0

x∈R



We add all the numbers together, and all the variables

5/(9x-54)-(1/x-6)-(+1/3)=0

We get rid of parentheses

5/(9x-54)-1/x+6-1/3=0

We calculate fractions


(-9x^2+54x)/((9x-54)*x*3)+45x/((9x-54)*x*3)+(-27x+162)/((9x-54)*x*3)+6=0



We calculate terms in parentheses: +(-9x^2+54x)/((9x-54)*x*3), so:

-9x^2+54x)/((9x-54)*x*3

We multiply all the terms by the denominator


-9x^2*((9x-54)*x*3+54x)

Back to the equation:

+(-9x^2*((9x-54)*x*3+54x))





We calculate terms in parentheses: +(-27x+162)/((9x-54)*x*3), so:

-27x+162)/((9x-54)*x*3

We multiply all the terms by the denominator


-27x*((9x-54)*x*3+162)

Back to the equation:

+(-27x*((9x-54)*x*3+162))



We multiply all the terms by the denominator


((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3)+45x+((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3)+6*((9x-54)*x*3)=0



We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3), so:

(-9x^2*((9x-54)*x*3+54x)))*((9x-54)*x*3





We calculate terms in parentheses: +((-27x*((9x-54)*x*3+162)))*((9x-54)*x*3), so:

(-27x*((9x-54)*x*3+162)))*((9x-54)*x*3





We calculate terms in parentheses: +((-9x^2*((9x-

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