3/(x-2)-2/(x-8)=-18/x^2-10x+16

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Solution for 3/(x-2)-2/(x-8)=-18/x^2-10x+16 equation: 



3/(x-2)-2/(x-8)=-18/x^2-10x+16

We move all terms to the left:

3/(x-2)-2/(x-8)-(-18/x^2-10x+16)=0



Domain of the equation: (x-2)!=0

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

x!=2

x∈R





Domain of the equation: (x-8)!=0

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

x!=8

x∈R





Domain of the equation: x^2-10x+16)!=0

x∈R



We get rid of parentheses

3/(x-2)-2/(x-8)+18/x^2+10x-16=0

We calculate fractions


10x+(3*(x-8)*x^2)/((x-2)*(x-8)*x^2)+(-2*(x-2)*x^2)/((x-2)*(x-8)*x^2)+(18*(x-2)*(x-8))/((x-2)*(x-8)*x^2)-16=0



We calculate terms in parentheses: +(3*(x-8)*x^2)/((x-2)*(x-8)*x^2), so:

3*(x-8)*x^2)/((x-2)*(x-8)*x^2

We multiply all the terms by the denominator


3*(x-8)*x^2)

We multiply parentheses

-24x^3+3x

We do not support expression: x^3

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