2x+5=-1/2x+3

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Solution for 2x+5=-1/2x+3 equation: 



2x+5=-1/2x+3

We move all terms to the left:

2x+5-(-1/2x+3)=0



Domain of the equation: 2x+3)!=0

x∈R



We get rid of parentheses

2x+1/2x-3+5=0

We multiply all the terms by the denominator


2x*2x-3*2x+5*2x+1=0

Wy multiply elements

4x^2-6x+10x+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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