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2x=6x+12/x-4
We move all terms to the left:
2x-(6x+12/x-4)=0
Domain of the equation: x-4)!=0We get rid of parentheses
x∈R
2x-6x-12/x+4=0
We multiply all the terms by the denominator
2x*x-6x*x+4*x-12=0
We add all the numbers together, and all the variables
4x+2x*x-6x*x-12=0
Wy multiply elements
2x^2-6x^2+4x-12=0
We add all the numbers together, and all the variables
-4x^2+4x-12=0
a = -4; b = 4; c = -12;
Δ = b2-4ac
Δ = 42-4·(-4)·(-12)
Δ = -176
Delta is less than zero, so there is no solution for the equation
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