1/2x-2=-2x-4

Solution for 1/2x-2=-2x-4 equation:

1/2x-2=-2x-4

We move all terms to the left:

1/2x-2-(-2x-4)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We get rid of parentheses

1/2x+2x+4-2=0

We multiply all the terms by the denominator


2x*2x+4*2x-2*2x+1=0

Wy multiply elements

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