-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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