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)=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

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

We get rid of parentheses

x/2x-3x/x-3=0

We calculate fractions


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

We multiply all the terms by the denominator


(-6x^2)+x^2-3*2x^2=0

We add all the numbers together, and all the variables

x^2+(-6x^2)-3*2x^2=0

Wy multiply elements

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

We get rid of parentheses

x^2-6x^2-6x^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:
$x=\frac{-b}{2a}=\frac{0}{-22}=0$