12/4x-3=3/x

Solution for 12/4x-3=3/x equation:

12/4x-3=3/x

We move all terms to the left:

12/4x-3-(3/x)=0


Domain of the equation: 4x!=0

x!=0/4

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

12/4x-(+3/x)-3=0

We get rid of parentheses

12/4x-3/x-3=0

We calculate fractions


12x/4x^2+(-12x)/4x^2-3=0

We multiply all the terms by the denominator


12x+(-12x)-3*4x^2=0

Wy multiply elements

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-12x^2=0

a = -12; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-12)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-24}=0$