(5)/(x-2)=(9)/(x=2)

Solution for (5)/(x-2)=(9)/(x=2) equation:

(5)/(x-2)=(9)/(x=2)

We move all terms to the left:

(5)/(x-2)-((9)/(x)=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!=0

x∈R


We calculate fractions


5x/(x^2-2x)+(-(9*(x-2))/(x^2-2x)=0


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

-(9*(x-2))/(x^2-2x

We multiply all the terms by the denominator


-(9*(x-2))


We calculate terms in parentheses: -(9*(x-2)), so:

9*(x-2)

We multiply parentheses

9x-18

Back to the equation:

-(9x-18)


We get rid of parentheses

-9x+18

Back to the equation:

+(-9x+18)


We get rid of parentheses

5x/(x^2-2x)-9x+18=0

We multiply all the terms by the denominator


5x-9x*(x^2-2x)+18*(x^2-2x)=0

We multiply parentheses

-9x^3+18x^2+18x^2+5x-36x=0

We do not support expression: x^3