1/2x+5=6-2x

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



1/2x+5=6-2x

We move all terms to the left:

1/2x+5-(6-2x)=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-(-2x+6)+5=0

We get rid of parentheses

1/2x+2x-6+5=0

We multiply all the terms by the denominator


2x*2x-6*2x+5*2x+1=0

Wy multiply elements

4x^2-12x+10x+1=0

We add all the numbers together, and all the variables

4x^2-2x+1=0

a = 4; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·4·1
Δ = -12
Delta is less than zero, so there is no solution for the equation

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