(240-x)/x=240/(x+40)

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Solution for (240-x)/x=240/(x+40) equation: 



(240-x)/x=240/(x+40)

We move all terms to the left:

(240-x)/x-(240/(x+40))=0



Domain of the equation: x!=0

x∈R





Domain of the equation: (x+40))!=0

x∈R



We add all the numbers together, and all the variables

(-1x+240)/x-(240/(x+40))=0

We calculate fractions


((-1x+240)*(x+40)))/41x^2+(-(240*x)/41x^2=0

We add all the numbers together, and all the variables

((-1x+240)*(x+40)))/41x^2+(-(+240x)/41x^2=0

We calculate fractions


(((-1x+240)*(x+40)))*41x^2)/(41x^2+(*41x^2)+(-(+240x)*41x^2)/(41x^2+(*41x^2)=0



We calculate terms in parentheses: +(-(+240x)*41x^2)/(41x^2+(*41x^2), so:

-(+240x)*41x^2)/(41x^2+(*41x^2

We multiply all the terms by the denominator


-(+240x)*41x^2)+((*41x^2)*(41x^2

Back to the equation:

+(-(+240x)*41x^2)+((*41x^2)*(41x^2)



We get rid of parentheses

(((-1x+240)*(x+40)))*41x^2)/(41x^2+*41x^2+(-(+240x)*41x^2)+((*41x^2)*41x^2=0

We multiply all the terms by the denominator


(((-1x+240)*(x+40)))*41x^2)+(*41x^2)*(41x^2+((-(+240x)*41x^2))*(41x^2+(((*41x^2)*41x^2)*(41x^2=0

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