16/x=4/(x-8

Solution for 16/x=4/(x-8 equation:

16/x=4/(x-8

We move all terms to the left:

16/x-(4/(x-8)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: (x-8)!=0

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

x!=8

x∈R


We calculate fractions


(16x-128)/(x^2-8x)+(-(4*x)/(x^2-8x)=0


We calculate terms in parentheses: +(-(4*x)/(x^2-8x), so:

-(4*x)/(x^2-8x

We add all the numbers together, and all the variables

-(+4x)/(x^2-8x

We multiply all the terms by the denominator


-(+4x)

We get rid of parentheses

-4x

Back to the equation:

+(-4x)


We get rid of parentheses

(16x-128)/(x^2-8x)-4x=0

We multiply all the terms by the denominator


(16x-128)-4x*(x^2-8x)=0

We multiply parentheses

-4x^3+32x^2+(16x-128)=0

We get rid of parentheses

-4x^3+32x^2+16x-128=0

We do not support expression: x^3