1/2x+1=-2x-1

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



1/2x+1=-2x-1

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

1/2x+2x+1+1=0

We multiply all the terms by the denominator


2x*2x+1*2x+1*2x+1=0

Wy multiply elements

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

We add all the numbers together, and all the variables

4x^2+4x+1=0

a = 4; b = 4; c = +1;
Δ = b2-4ac
Δ = 42-4·4·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-4}{8}=-1/2$

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