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15/3x-2+6x/2x+6=9x/3x-2
We move all terms to the left:
15/3x-2+6x/2x+6-(9x/3x-2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 3x-2)!=0We add all the numbers together, and all the variables
x∈R
15/3x+6x/2x-(9x/3x-2)+4=0
We get rid of parentheses
15/3x+6x/2x-9x/3x+2+4=0
We calculate fractions
(-18x^2+15)/6x^2+18x^2/6x^2+2+4=0
We add all the numbers together, and all the variables
(-18x^2+15)/6x^2+18x^2/6x^2+6=0
We multiply all the terms by the denominator
(-18x^2+15)+18x^2+6*6x^2=0
We add all the numbers together, and all the variables
18x^2+(-18x^2+15)+6*6x^2=0
Wy multiply elements
18x^2+(-18x^2+15)+36x^2=0
We get rid of parentheses
18x^2-18x^2+36x^2+15=0
We add all the numbers together, and all the variables
36x^2+15=0
a = 36; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·36·15
Δ = -2160
Delta is less than zero, so there is no solution for the equation
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