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x+12/x+4=x/x+8
We move all terms to the left:
x+12/x+4-(x/x+8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+8)!=0We get rid of parentheses
x∈R
x+12/x-x/x-8+4=0
Fractions to decimals
12/x+x-8+4+1=0
We multiply all the terms by the denominator
x*x-8*x+4*x+1*x+12=0
We add all the numbers together, and all the variables
-3x+x*x+12=0
Wy multiply elements
x^2-3x+12=0
a = 1; b = -3; c = +12;
Δ = b2-4ac
Δ = -32-4·1·12
Δ = -39
Delta is less than zero, so there is no solution for the equation
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