1/2x+3=2-x

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



1/2x+3=2-x

We move all terms to the left:

1/2x+3-(2-x)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We add all the numbers together, and all the variables

1/2x-(-1x+2)+3=0

We get rid of parentheses

1/2x+1x-2+3=0

We multiply all the terms by the denominator


1x*2x-2*2x+3*2x+1=0

Wy multiply elements

2x^2-4x+6x+1=0

We add all the numbers together, and all the variables

2x^2+2x+1=0

a = 2; b = 2; c = +1;
Δ = b2-4ac
Δ = 22-4·2·1
Δ = -4
Delta is less than zero, so there is no solution for the equation

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