(x/2-x)+(2/3)=(2/x-2)

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Solution for (x/2-x)+(2/3)=(2/x-2) equation:



(x/2-x)+(2/3)=(2/x-2)
We move all terms to the left:
(x/2-x)+(2/3)-((2/x-2))=0
Domain of the equation: 2-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-2
x!=-2/1
x!=-2
x∈R
Domain of the equation: x-2))!=0
x∈R
We add all the numbers together, and all the variables
(-1x+x/2)-((2/x-2))+(+2/3)=0
We get rid of parentheses
-1x+x/2-((2/x-2))+2/3=0
We calculate fractions
x^2/2x+4x^2/2x-1x+()/2x=0
We multiply all the terms by the denominator
x^2+4x^2-1x*2x+()=0
We add all the numbers together, and all the variables
5x^2-1x*2x=0
Wy multiply elements
5x^2-2x^2=0
We add all the numbers together, and all the variables
3x^2=0
a = 3; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·3·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{6}=0$

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