x/2x-3=3x/x-11

Solution for x/2x-3=3x/x-11 equation:

x/2x-3=3x/x-11

We move all terms to the left:

x/2x-3-(3x/x-11)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x-11)!=0

x∈R


We get rid of parentheses

x/2x-3x/x+11-3=0

We calculate fractions


(-6x^2)/2x^2+x^2/2x^2+11-3=0

We add all the numbers together, and all the variables

(-6x^2)/2x^2+x^2/2x^2+8=0

We multiply all the terms by the denominator


(-6x^2)+x^2+8*2x^2=0

We add all the numbers together, and all the variables

x^2+(-6x^2)+8*2x^2=0

Wy multiply elements

x^2+(-6x^2)+16x^2=0

We get rid of parentheses

x^2-6x^2+16x^2=0

We add all the numbers together, and all the variables

11x^2=0

a = 11; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·11·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{22}=0$