2/(g+6)=4/(5g+10)

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Solution for 2/(g+6)=4/(5g+10) equation:



2/(g+6)=4/(5g+10)
We move all terms to the left:
2/(g+6)-(4/(5g+10))=0
Domain of the equation: (g+6)!=0
We move all terms containing g to the left, all other terms to the right
g!=-6
g∈R
Domain of the equation: (5g+10))!=0
g∈R
We calculate fractions
10g/((g+6)*(5g+10)))+(-(4*(g+6))/((g+6)*(5g+10)))=0
We calculate terms in parentheses: -(4*(g+6))/((g+6)*(5g+10))), so:
4*(g+6))/((g+6)*(5g+10))
We multiply all the terms by the denominator
4*(g+6))
We multiply parentheses
4g+
We add all the numbers together, and all the variables
4g
Back to the equation:
-(4g)
We add all the numbers together, and all the variables
-4g+10g/((g+6)*(5g+10)))+(=0
We multiply all the terms by the denominator
-4g*((g+6)*(5g+10)))+(+10g=0
We add all the numbers together, and all the variables
10g-4g*((g+6)*(5g+10)))+(=0

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