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-2x=12/x+5
We move all terms to the left:
-2x-(12/x+5)=0
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
-2x-12/x-5=0
We multiply all the terms by the denominator
-2x*x-5*x-12=0
We add all the numbers together, and all the variables
-5x-2x*x-12=0
Wy multiply elements
-2x^2-5x-12=0
a = -2; b = -5; c = -12;
Δ = b2-4ac
Δ = -52-4·(-2)·(-12)
Δ = -71
Delta is less than zero, so there is no solution for the equation
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