12/2x-4=6/x

Solution for 12/2x-4=6/x equation:

12/2x-4=6/x

We move all terms to the left:

12/2x-4-(6/x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

12/2x-(+6/x)-4=0

We get rid of parentheses

12/2x-6/x-4=0

We calculate fractions


12x/2x^2+(-12x)/2x^2-4=0

We multiply all the terms by the denominator


12x+(-12x)-4*2x^2=0

Wy multiply elements

-8x^2+12x+(-12x)=0

We get rid of parentheses

-8x^2+12x-12x=0

We add all the numbers together, and all the variables

-8x^2=0

a = -8; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-8)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-16}=0$