180/x+180/(x-20)=7.5

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Solution for 180/x+180/(x-20)=7.5 equation: 



180/x+180/(x-20)=7.5

We move all terms to the left:

180/x+180/(x-20)-(7.5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: (x-20)!=0

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

x!=20

x∈R



We add all the numbers together, and all the variables

180/x+180/(x-20)-7.5=0

We calculate fractions


(180x-3600)/(x^2-20x)+180x/(x^2-20x)-7.5=0

We multiply all the terms by the denominator


(180x-3600)+180x-(7.5)*(x^2-20x)=0

We add all the numbers together, and all the variables

180x+(180x-3600)-(7.5)*(x^2-20x)=0

We get rid of parentheses

180x+180x-(7.5)*(x^2-20x)-3600=0

We add all the numbers together, and all the variables

360x-(7.5)*(x^2-20x)-3600=0

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

360x-(7.5)*(x^2-20x)=3600

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