5x+5/x=3+x-6/x

Solution for 5x+5/x=3+x-6/x equation:

5x+5/x=3+x-6/x

We move all terms to the left:

5x+5/x-(3+x-6/x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

5x+5/x-(x-6/x+3)=0

We get rid of parentheses

5x+5/x-x+6/x-3=0

We multiply all the terms by the denominator


5x*x-x*x-3*x+5+6=0

We add all the numbers together, and all the variables

-3x+5x*x-x*x+11=0

Wy multiply elements

5x^2-1x^2-3x+11=0

We add all the numbers together, and all the variables

4x^2-3x+11=0

a = 4; b = -3; c = +11;
Δ = b2-4ac
Δ = -32-4·4·11
Δ = -167
Delta is less than zero, so there is no solution for the equation