(2x-17)/(x+1)=x+5

Solution for (2x-17)/(x+1)=x+5 equation:

(2x-17)/(x+1)=x+5

We move all terms to the left:

(2x-17)/(x+1)-(x+5)=0


Domain of the equation: (x+1)!=0

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

x!=-1

x∈R


We get rid of parentheses

(2x-17)/(x+1)-x-5=0

We multiply all the terms by the denominator


(2x-17)-x*(x+1)-5*(x+1)=0

We multiply parentheses

-x^2+(2x-17)-x-5x-5=0

We get rid of parentheses

-x^2+2x-x-5x-17-5=0

We add all the numbers together, and all the variables

-1x^2-4x-22=0

a = -1; b = -4; c = -22;
Δ = b2-4ac
Δ = -42-4·(-1)·(-22)
Δ = -72
Delta is less than zero, so there is no solution for the equation