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x/(2x-1)+2/(x+2)=1
We move all terms to the left:
x/(2x-1)+2/(x+2)-(1)=0
Domain of the equation: (2x-1)!=0
We move all terms containing x to the left, all other terms to the right
2x!=1
x!=1/2
x!=1/2
x∈R
Domain of the equation: (x+2)!=0We calculate fractions
We move all terms containing x to the left, all other terms to the right
x!=-2
x∈R
(x^2+2x)/((2x-1)*(x+2))+(4x-2)/((2x-1)*(x+2))-1=0
We calculate terms in parentheses: +(x^2+2x)/((2x-1)*(x+2)), so:
x^2+2x)/((2x-1)*(x+2)
We multiply all the terms by the denominator
x^2*((2x-1)*(x+2)+2x)
Back to the equation:
+(x^2*((2x-1)*(x+2)+2x))
We calculate terms in parentheses: +(4x-2)/((2x-1)*(x+2)), so:
4x-2)/((2x-1)*(x+2)
We multiply all the terms by the denominator
4x*((2x-1)*(x+2)-2)
Back to the equation:
+(4x*((2x-1)*(x+2)-2))
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
We calculate terms in parentheses: +(x^2*((2x-1)*(x+2)+2x)), so:
x^2*((2x-1)*(x+2)+2x)
We calculate terms in parentheses: +(4x*((2x-1)*(x+2)-2)), so:
4x*((2x-1)*(x+2)-2)
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