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

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

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

We move all terms to the left:

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


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x-1)!=0

x∈R


We get rid of parentheses

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

We calculate fractions


2x/2x^2+(-2x)/2x^2+1+6=0

We add all the numbers together, and all the variables

2x/2x^2+(-2x)/2x^2+7=0

We multiply all the terms by the denominator


2x+(-2x)+7*2x^2=0

Wy multiply elements

14x^2+2x+(-2x)=0

We get rid of parentheses

14x^2+2x-2x=0

We add all the numbers together, and all the variables

14x^2=0

a = 14; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·14·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{28}=0$