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5/x-7/(0.2-x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (0.2-x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x!=-0.2
x!=-0.2/-1
x!=0.2/1
x∈R
5/x-7/(-1x+0.2)=0
We calculate fractions
(-5x+1)/(-1x^2+0.2x)+(-7x)/(-1x^2+0.2x)=0
We multiply all the terms by the denominator
(-5x+1)+(-7x)=0
We get rid of parentheses
-5x-7x+1=0
We add all the numbers together, and all the variables
-12x+1=0
We move all terms containing x to the left, all other terms to the right
-12x=-1
x=-1/-12
x=1/12
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