10/2=a/(a-9)

Solution for 10/2=a/(a-9) equation:

10/2=a/(a-9)

We move all terms to the left:

10/2-(a/(a-9))=0


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

a∈R


We add all the numbers together, and all the variables

-(a/(a-9))+5=0

We multiply all the terms by the denominator


-(a+5*(a-9))=0


We calculate terms in parentheses: -(a+5*(a-9)), so:

a+5*(a-9)

We multiply parentheses

a+5a-45

We add all the numbers together, and all the variables

6a-45

Back to the equation:

-(6a-45)


We get rid of parentheses

-6a+45=0

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

-6a=-45

a=-45/-6

a=7+1/2