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19.5/(x+9)=6/x
We move all terms to the left:
19.5/(x+9)-(6/x)=0
Domain of the equation: (x+9)!=0
We move all terms containing x to the left, all other terms to the right
x!=-9
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
19.5/(x+9)-(+6/x)=0
We get rid of parentheses
19.5/(x+9)-6/x=0
We calculate fractions
(19.5x)/(x^2+9x)+(-6x-54)/(x^2+9x)=0
We add all the numbers together, and all the variables
(+19.5x)/(x^2+9x)+(-6x-54)/(x^2+9x)=0
We multiply all the terms by the denominator
(+19.5x)+(-6x-54)=0
We get rid of parentheses
19.5x-6x-54=0
We add all the numbers together, and all the variables
13.5x-54=0
We move all terms containing x to the left, all other terms to the right
13.5x=54
x=54/13.5
x=4
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