3/a=(2a+3)/(a+1)-2

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Solution for 3/a=(2a+3)/(a+1)-2 equation:



3/a=(2a+3)/(a+1)-2
We move all terms to the left:
3/a-((2a+3)/(a+1)-2)=0
Domain of the equation: a!=0
a∈R
Domain of the equation: (a+1)-2)!=0
a∈R
We calculate fractions
(3a+3)/(a^2+a)+(-((2a+3)*a)/(a^2+a)=0
We calculate terms in parentheses: +(-((2a+3)*a)/(a^2+a), so:
-((2a+3)*a)/(a^2+a
We multiply all the terms by the denominator
-((2a+3)*a)
We calculate terms in parentheses: -((2a+3)*a), so:
(2a+3)*a
We multiply parentheses
2a^2+3a
Back to the equation:
-(2a^2+3a)
We get rid of parentheses
-2a^2-3a
Back to the equation:
+(-2a^2-3a)
We get rid of parentheses
-2a^2-3a+(3a+3)/(a^2+a)=0
We multiply all the terms by the denominator
-2a^2*(a^2+a)-3a*(a^2+a)+(3a+3)=0
We multiply parentheses
-2a^2*(a^2+a)-3a^3-3a^2+(3a+3)=0
We get rid of parentheses
-2a^2*(a^2+a)-3a^3-3a^2+3a+3=0
We do not support eapression: a^3

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