x+5/x=2x/x-4

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Solution for x+5/x=2x/x-4 equation:



x+5/x=2x/x-4
We move all terms to the left:
x+5/x-(2x/x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-4)!=0
x∈R
We get rid of parentheses
x+5/x-2x/x+4=0
We multiply all the terms by the denominator
x*x-2x+4*x+5=0
We add all the numbers together, and all the variables
2x+x*x+5=0
Wy multiply elements
x^2+2x+5=0
a = 1; b = 2; c = +5;
Δ = b2-4ac
Δ = 22-4·1·5
Δ = -16
Delta is less than zero, so there is no solution for the equation

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