4^2=(x+6)/(x-9)

Solution for 4^2=(x+6)/(x-9) equation:

4^2=(x+6)/(x-9)

We move all terms to the left:

4^2-((x+6)/(x-9))=0


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

x∈R


We add all the numbers together, and all the variables

-((x+6)/(x-9))+16=0

We multiply all the terms by the denominator


-((x+6)+16*(x-9))=0


We calculate terms in parentheses: -((x+6)+16*(x-9)), so:

(x+6)+16*(x-9)

We multiply parentheses

(x+6)+16x-144

We get rid of parentheses

x+16x+6-144

We add all the numbers together, and all the variables

17x-138

Back to the equation:

-(17x-138)


We get rid of parentheses

-17x+138=0

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

-17x=-138

x=-138/-17

x=8+2/17