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1/(x+20)+1/(x+5)+1/(x+2)+1/(x-0.1)=0
Domain of the equation: (x+20)!=0
We move all terms containing x to the left, all other terms to the right
x!=-20
x∈R
Domain of the equation: (x+5)!=0
We move all terms containing x to the left, all other terms to the right
x!=-5
x∈R
Domain of the equation: (x+2)!=0
We move all terms containing x to the left, all other terms to the right
x!=-2
x∈R
Domain of the equation: (x-0.1)!=0We calculate fractions
We move all terms containing x to the left, all other terms to the right
x!=0.1
x∈R
(1*(x+5)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1))+(1*(x+20)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1))+(1*(x+20)*(x+5)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1))+(1*(x+20)*(x+5)*(x+2))/((x+20)*(x+5)*(x+2)*(x-0.1))=0
We calculate terms in parentheses: +(1*(x+5)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)), so:
1*(x+5)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)
We multiply all the terms by the denominator
1*(x+5)*(x+2)*(x-0.1))
Back to the equation:
+(1*(x+5)*(x+2)*(x-0.1)))
We calculate terms in parentheses: +(1*(x+20)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)), so:
1*(x+20)*(x+2)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)
We multiply all the terms by the denominator
1*(x+20)*(x+2)*(x-0.1))
Back to the equation:
+(1*(x+20)*(x+2)*(x-0.1)))
We calculate terms in parentheses: +(1*(x+20)*(x+5)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)), so:
1*(x+20)*(x+5)*(x-0.1))/((x+20)*(x+5)*(x+2)*(x-0.1)
We multiply all the terms by the denominator
1*(x+20)*(x+5)*(x-0.1))
Back to the equation:
+(1*(x+20)*(x+5)*(x-0.1)))
We calculate terms in parentheses: +(1*(x+20)*(x+5)*(x+2))/((x+20)*(x+5)*(x+2)*(x-0.1)), so:
1*(x+20)*(x+5)*(x+2))/((x+20)*(x+5)*(x+2)*(x-0.1)
We multiply all the terms by the denominator
1*(x+20)*(x+5)*(x+2))
Back to the equation:
+(1*(x+20)*(x+5)*(x+2)))
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