x=2x+1/3x

Solution for x=2x+1/3x equation:

x=2x+1/3x

We move all terms to the left:

x-(2x+1/3x)=0


Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+2x+1/3x)=0

We get rid of parentheses

x-2x-1/3x=0

We multiply all the terms by the denominator


x*3x-2x*3x-1=0

Wy multiply elements

3x^2-6x^2-1=0

We add all the numbers together, and all the variables

-3x^2-1=0

a = -3; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·(-3)·(-1)
Δ = -12
Delta is less than zero, so there is no solution for the equation