6=3/x+2+3x

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

6=3/x+2+3x

We move all terms to the left:

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


Domain of the equation: x+2+3x)!=0

We move all terms containing x to the left, all other terms to the right

x+3x)!=-2

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


-3x*x-2*x+6*x-3=0

We add all the numbers together, and all the variables

4x-3x*x-3=0

Wy multiply elements

-3x^2+4x-3=0

a = -3; b = 4; c = -3;
Δ = b2-4ac
Δ = 42-4·(-3)·(-3)
Δ = -20
Delta is less than zero, so there is no solution for the equation