(2a-8)/a=30/(a+4)

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Solution for (2a-8)/a=30/(a+4) equation: 



(2a-8)/a=30/(a+4)

We move all terms to the left:

(2a-8)/a-(30/(a+4))=0



Domain of the equation: a!=0

a∈R





Domain of the equation: (a+4))!=0

a∈R



We calculate fractions


((2a-8)*(a+4)))/5a^2+(-(30*a)/5a^2=0

We add all the numbers together, and all the variables

((2a-8)*(a+4)))/5a^2+(-(+30a)/5a^2=0

We calculate fractions


(((2a-8)*(a+4)))*5a^2)/(5a^2+(*5a^2)+(-(+30a)*5a^2)/(5a^2+(*5a^2)=0



We calculate terms in parentheses: +(-(+30a)*5a^2)/(5a^2+(*5a^2), so:

-(+30a)*5a^2)/(5a^2+(*5a^2

We multiply all the terms by the denominator


-(+30a)*5a^2)+((*5a^2)*(5a^2

Back to the equation:

+(-(+30a)*5a^2)+((*5a^2)*(5a^2)



We get rid of parentheses

(((2a-8)*(a+4)))*5a^2)/(5a^2+*5a^2+(-(+30a)*5a^2)+((*5a^2)*5a^2=0

We multiply all the terms by the denominator


(((2a-8)*(a+4)))*5a^2)+(*5a^2)*(5a^2+((-(+30a)*5a^2))*(5a^2+(((*5a^2)*5a^2)*(5a^2=0

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