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x=5x+6/2x+3
We move all terms to the left:
x-(5x+6/2x+3)=0
Domain of the equation: 2x+3)!=0We get rid of parentheses
x∈R
x-5x-6/2x-3=0
We multiply all the terms by the denominator
x*2x-5x*2x-3*2x-6=0
Wy multiply elements
2x^2-10x^2-6x-6=0
We add all the numbers together, and all the variables
-8x^2-6x-6=0
a = -8; b = -6; c = -6;
Δ = b2-4ac
Δ = -62-4·(-8)·(-6)
Δ = -156
Delta is less than zero, so there is no solution for the equation
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