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1/3x+1/2x-2=1/2x-7
We move all terms to the left:
1/3x+1/2x-2-(1/2x-7)=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: 2x-7)!=0We get rid of parentheses
x∈R
1/3x+1/2x-1/2x+7-2=0
We calculate fractions
2x/6x^2+(-3x+1)/6x^2+7-2=0
We add all the numbers together, and all the variables
2x/6x^2+(-3x+1)/6x^2+5=0
We multiply all the terms by the denominator
2x+(-3x+1)+5*6x^2=0
Wy multiply elements
30x^2+2x+(-3x+1)=0
We get rid of parentheses
30x^2+2x-3x+1=0
We add all the numbers together, and all the variables
30x^2-1x+1=0
a = 30; b = -1; c = +1;
Δ = b2-4ac
Δ = -12-4·30·1
Δ = -119
Delta is less than zero, so there is no solution for the equation
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