3/2x-1=1/2x-3x

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Solution for 3/2x-1=1/2x-3x equation:



3/2x-1=1/2x-3x
We move all terms to the left:
3/2x-1-(1/2x-3x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-3x)!=0
x∈R
We add all the numbers together, and all the variables
3/2x-(-3x+1/2x)-1=0
We get rid of parentheses
3/2x+3x-1/2x-1=0
We multiply all the terms by the denominator
3x*2x-1*2x+3-1=0
We add all the numbers together, and all the variables
3x*2x-1*2x+2=0
Wy multiply elements
6x^2-2x+2=0
a = 6; b = -2; c = +2;
Δ = b2-4ac
Δ = -22-4·6·2
Δ = -44
Delta is less than zero, so there is no solution for the equation

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