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2x/x-3=x+10/x-2
We move all terms to the left:
2x/x-3-(x+10/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0We get rid of parentheses
x∈R
2x/x-x-10/x+2-3=0
We multiply all the terms by the denominator
2x-x*x+2*x-3*x-10=0
We add all the numbers together, and all the variables
x-x*x-10=0
Wy multiply elements
-1x^2+x-10=0
a = -1; b = 1; c = -10;
Δ = b2-4ac
Δ = 12-4·(-1)·(-10)
Δ = -39
Delta is less than zero, so there is no solution for the equation
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