(z^2+2z+5)/(2z^2+1)=1

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Solution for (z^2+2z+5)/(2z^2+1)=1 equation:



(z^2+2z+5)/(2z^2+1)=1
We move all terms to the left:
(z^2+2z+5)/(2z^2+1)-(1)=0
Domain of the equation: (2z^2+1)!=0
We move all terms containing z to the left, all other terms to the right
2z^2!=-1
z^2!=-1/2
z^2!=√-1/2
z!=NAN
z∈R
We multiply all the terms by the denominator
(z^2+2z+5)-1*(2z^2+1)=0
We get rid of parentheses
z^2+2z-1*(2z^2+1)+5=0
We move all terms containing z to the left, all other terms to the right
z^2+2z-1*(2z^2+1)=-5

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