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2/(3+x)+3/x=0
Domain of the equation: (3+x)!=0
We move all terms containing x to the left, all other terms to the right
x!=-3
x∈R
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
2/(x+3)+3/x=0
We calculate fractions
2x/(x^2+3x)+(3x+9)/(x^2+3x)=0
We multiply all the terms by the denominator
2x+(3x+9)=0
We get rid of parentheses
2x+3x+9=0
We add all the numbers together, and all the variables
5x+9=0
We move all terms containing x to the left, all other terms to the right
5x=-9
x=-9/5
x=-1+4/5
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