6/3x-4/x-6=2/x+6

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Solution for 6/3x-4/x-6=2/x+6 equation: 



6/3x-4/x-6=2/x+6

We move all terms to the left:

6/3x-4/x-6-(2/x+6)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: x!=0

x∈R





Domain of the equation: x+6)!=0

x∈R



We get rid of parentheses

6/3x-4/x-2/x-6-6=0

We calculate fractions


6x/3x^2+(-6x-4)/3x^2-6-6=0

We add all the numbers together, and all the variables

6x/3x^2+(-6x-4)/3x^2-12=0

We multiply all the terms by the denominator


6x+(-6x-4)-12*3x^2=0

Wy multiply elements

-36x^2+6x+(-6x-4)=0

We get rid of parentheses

-36x^2+6x-6x-4=0

We add all the numbers together, and all the variables

-36x^2-4=0

a = -36; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·(-36)·(-4)
Δ = -576
Delta is less than zero, so there is no solution for the equation

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