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6x+7/3x+2=4x+5
We move all terms to the left:
6x+7/3x+2-(4x+5)=0
Domain of the equation: 3x!=0We get rid of parentheses
x!=0/3
x!=0
x∈R
6x+7/3x-4x-5+2=0
We multiply all the terms by the denominator
6x*3x-4x*3x-5*3x+2*3x+7=0
Wy multiply elements
18x^2-12x^2-15x+6x+7=0
We add all the numbers together, and all the variables
6x^2-9x+7=0
a = 6; b = -9; c = +7;
Δ = b2-4ac
Δ = -92-4·6·7
Δ = -87
Delta is less than zero, so there is no solution for the equation
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