(11x-33)/x-3=x

Solution for (11x-33)/x-3=x equation:

(11x-33)/x-3=x

We move all terms to the left:

(11x-33)/x-3-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+(11x-33)/x-3=0

We multiply all the terms by the denominator


-1x*x+(11x-33)-3*x=0

We add all the numbers together, and all the variables

-3x-1x*x+(11x-33)=0

Wy multiply elements

-1x^2-3x+(11x-33)=0

We get rid of parentheses

-1x^2-3x+11x-33=0

We add all the numbers together, and all the variables

-1x^2+8x-33=0

a = -1; b = 8; c = -33;
Δ = b2-4ac
Δ = 82-4·(-1)·(-33)
Δ = -68
Delta is less than zero, so there is no solution for the equation