2.7/(x+3)=1.5/x

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Solution for 2.7/(x+3)=1.5/x equation:



2.7/(x+3)=1.5/x
We move all terms to the left:
2.7/(x+3)-(1.5/x)=0
Domain of the equation: (x+3)!=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)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2.7/(x+3)-(+1.5/x)=0
We get rid of parentheses
2.7/(x+3)-1.5/x=0
We calculate fractions
(2.7x)/(x^2+3x)+(-1.5x-4.5)/(x^2+3x)=0
We add all the numbers together, and all the variables
(+2.7x)/(x^2+3x)+(-1.5x-4.5)/(x^2+3x)=0
We multiply all the terms by the denominator
(+2.7x)+(-1.5x-4.5)=0
We get rid of parentheses
2.7x-1.5x-4.5=0
We add all the numbers together, and all the variables
1.2x-4.5=0
We move all terms containing x to the left, all other terms to the right
1.2x=4.5
x=4.5/1.2
x=3+0.9/1.2

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