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