2x-6=-1/2x-4

Solution for 2x-6=-1/2x-4 equation:

2x-6=-1/2x-4

We move all terms to the left:

2x-6-(-1/2x-4)=0


Domain of the equation: 2x-4)!=0

x∈R


We get rid of parentheses

2x+1/2x+4-6=0

We multiply all the terms by the denominator


2x*2x+4*2x-6*2x+1=0

Wy multiply elements

4x^2+8x-12x+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:
$x=\frac{-b}{2a}=\frac{4}{8}=1/2$