x/(x-28)=x/(4-x)

Solution for x/(x-28)=x/(4-x) equation:

x/(x-28)=x/(4-x)

We move all terms to the left:

x/(x-28)-(x/(4-x))=0


Domain of the equation: (x-28)!=0

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

x!=28

x∈R



Domain of the equation: (4-x))!=0

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

-x)!=-4

x!=-4/1

x!=-4

x∈R


We add all the numbers together, and all the variables

x/(x-28)-(x/(-1x+4))=0

We calculate fractions


3x^2/((x-28)*(-1x+4)))+(-(x*(x-28))/((x-28)*(-1x+4)))=0


We calculate terms in parentheses: -(x*(x-28))/((x-28)*(-1x+4))), so:

x*(x-28))/((x-28)*(-1x+4))

We multiply all the terms by the denominator


x*(x-28))

We multiply parentheses

x^2-28x^2

We add all the numbers together, and all the variables

-27x^2

Back to the equation:

-(-27x^2)


We get rid of parentheses

3x^2/((x-28)*(-1x+4)))+(+27x^2=0

We multiply all the terms by the denominator


3x^2+27x^2*((x-28)*(-1x+4)))+(=0