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

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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^2-14=0

We multiply all the terms by the denominator


(-6x^2)+x^2-14*2x^2=0

We add all the numbers together, and all the variables

x^2+(-6x^2)-14*2x^2=0

Wy multiply elements

x^2+(-6x^2)-28x^2=0

We get rid of parentheses

x^2-6x^2-28x^2=0

We add all the numbers together, and all the variables

-33x^2=0

a = -33; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-33)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-66}=0$

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