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5x/x-3=3x+6/x-3
We move all terms to the left:
5x/x-3-(3x+6/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
5x/x-3x-6/x+3-3=0
We multiply all the terms by the denominator
5x-3x*x+3*x-3*x-6=0
We add all the numbers together, and all the variables
5x-3x*x-6=0
Wy multiply elements
-3x^2+5x-6=0
a = -3; b = 5; c = -6;
Δ = b2-4ac
Δ = 52-4·(-3)·(-6)
Δ = -47
Delta is less than zero, so there is no solution for the equation
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