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3x/x+2=7x+8/x+2
We move all terms to the left:
3x/x+2-(7x+8/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We get rid of parentheses
x∈R
3x/x-7x-8/x-2+2=0
We multiply all the terms by the denominator
3x-7x*x-2*x+2*x-8=0
We add all the numbers together, and all the variables
3x-7x*x-8=0
Wy multiply elements
-7x^2+3x-8=0
a = -7; b = 3; c = -8;
Δ = b2-4ac
Δ = 32-4·(-7)·(-8)
Δ = -215
Delta is less than zero, so there is no solution for the equation
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