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4/3x-2/x=5/3x-5
We move all terms to the left:
4/3x-2/x-(5/3x-5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: x!=0
x∈R
Domain of the equation: 3x-5)!=0We get rid of parentheses
x∈R
4/3x-2/x-5/3x+5=0
We calculate fractions
(-5x+4)/3x^2+(-6x)/3x^2+5=0
We multiply all the terms by the denominator
(-5x+4)+(-6x)+5*3x^2=0
Wy multiply elements
15x^2+(-5x+4)+(-6x)=0
We get rid of parentheses
15x^2-5x-6x+4=0
We add all the numbers together, and all the variables
15x^2-11x+4=0
a = 15; b = -11; c = +4;
Δ = b2-4ac
Δ = -112-4·15·4
Δ = -119
Delta is less than zero, so there is no solution for the equation
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