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2x+17/x+1=x+5
We move all terms to the left:
2x+17/x+1-(x+5)=0
Domain of the equation: x!=0We get rid of parentheses
x∈R
2x+17/x-x-5+1=0
We multiply all the terms by the denominator
2x*x-x*x-5*x+1*x+17=0
We add all the numbers together, and all the variables
-4x+2x*x-x*x+17=0
Wy multiply elements
2x^2-1x^2-4x+17=0
We add all the numbers together, and all the variables
x^2-4x+17=0
a = 1; b = -4; c = +17;
Δ = b2-4ac
Δ = -42-4·1·17
Δ = -52
Delta is less than zero, so there is no solution for the equation
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