2x+5/x=2x/x-3

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Solution for 2x+5/x=2x/x-3 equation:



2x+5/x=2x/x-3
We move all terms to the left:
2x+5/x-(2x/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0
x∈R
We get rid of parentheses
2x+5/x-2x/x+3=0
We multiply all the terms by the denominator
2x*x-2x+3*x+5=0
We add all the numbers together, and all the variables
x+2x*x+5=0
Wy multiply elements
2x^2+x+5=0
a = 2; b = 1; c = +5;
Δ = b2-4ac
Δ = 12-4·2·5
Δ = -39
Delta is less than zero, so there is no solution for the equation

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