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

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

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

We move all terms to the left:

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


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

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

-x!=-28

x!=-28/-1

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

We calculate fractions


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


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

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

We multiply all the terms by the denominator


x*(-1x+28))

We multiply parentheses

-1x^2+28x^2

We add all the numbers together, and all the variables

27x^2

Back to the equation:

-(27x^2)


We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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