1/2x+6=5-x

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Solution for 1/2x+6=5-x equation:



1/2x+6=5-x
We move all terms to the left:
1/2x+6-(5-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+5)+6=0
We get rid of parentheses
1/2x+1x-5+6=0
We multiply all the terms by the denominator
1x*2x-5*2x+6*2x+1=0
Wy multiply elements
2x^2-10x+12x+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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