8.5/3=(39+x)/x

Solution for 8.5/3=(39+x)/x equation:

8.5/3=(39+x)/x

We move all terms to the left:

8.5/3-((39+x)/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-((x+39)/x)+8.5/3=0

We calculate fractions


(-((x+39)*3)/x*3)+(8.5*x))/x*3)=0


We calculate terms in parentheses: +(-((x+39)*3)/x*3), so:

-((x+39)*3)/x*3

We multiply all the terms by the denominator


-((x+39)*3)


We calculate terms in parentheses: -((x+39)*3), so:

(x+39)*3

We multiply parentheses

3x+117

Back to the equation:

-(3x+117)


We get rid of parentheses

-3x-117

Back to the equation:

+(-3x-117)


We add all the numbers together, and all the variables

(-3x-117)+(+8.5x))/x*3)=0

We get rid of parentheses

-3x+8.5x))/x*3-117=0

We multiply all the terms by the denominator


-3x*x*3+8.5x))-117=0

Wy multiply elements

-9x^2*3+8.5x))-117=0

Wy multiply elements

-27x^2+8.5x))-117=0