5x/6x=8x/11x-2

Solution for 5x/6x=8x/11x-2 equation:

5x/6x=8x/11x-2

We move all terms to the left:

5x/6x-(8x/11x-2)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



Domain of the equation: 11x-2)!=0

x∈R


We get rid of parentheses

5x/6x-8x/11x+2=0

We calculate fractions


(-48x^2)/66x^2+55x^2/66x^2+2=0

We multiply all the terms by the denominator


(-48x^2)+55x^2+2*66x^2=0

We add all the numbers together, and all the variables

55x^2+(-48x^2)+2*66x^2=0

Wy multiply elements

55x^2+(-48x^2)+132x^2=0

We get rid of parentheses

55x^2-48x^2+132x^2=0

We add all the numbers together, and all the variables

139x^2=0

a = 139; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·139·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{278}=0$