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6-5/x=4+3x
We move all terms to the left:
6-5/x-(4+3x)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
-5/x-(3x+4)+6=0
We get rid of parentheses
-5/x-3x-4+6=0
We multiply all the terms by the denominator
-3x*x-4*x+6*x-5=0
We add all the numbers together, and all the variables
2x-3x*x-5=0
Wy multiply elements
-3x^2+2x-5=0
a = -3; b = 2; c = -5;
Δ = b2-4ac
Δ = 22-4·(-3)·(-5)
Δ = -56
Delta is less than zero, so there is no solution for the equation
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