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12x+27/x+5=x+3
We move all terms to the left:
12x+27/x+5-(x+3)=0
Domain of the equation: x!=0We get rid of parentheses
x∈R
12x+27/x-x-3+5=0
We multiply all the terms by the denominator
12x*x-x*x-3*x+5*x+27=0
We add all the numbers together, and all the variables
2x+12x*x-x*x+27=0
Wy multiply elements
12x^2-1x^2+2x+27=0
We add all the numbers together, and all the variables
11x^2+2x+27=0
a = 11; b = 2; c = +27;
Δ = b2-4ac
Δ = 22-4·11·27
Δ = -1184
Delta is less than zero, so there is no solution for the equation
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