(.5x)/(x+9)=x+9

Solution for (.5x)/(x+9)=x+9 equation:

(.5x)/(x+9)=x+9

We move all terms to the left:

(.5x)/(x+9)-(x+9)=0


Domain of the equation: (x+9)!=0

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

x!=-9

x∈R


We add all the numbers together, and all the variables

(+.5x)/(x+9)-(x+9)=0

We get rid of parentheses

(+.5x)/(x+9)-x-9=0

We multiply all the terms by the denominator


(+.5x)-x*(x+9)-9*(x+9)=0

We multiply parentheses

-x^2+(+.5x)-9x-9x-81=0

We get rid of parentheses

-x^2+.5x-9x-9x-81=0

We add all the numbers together, and all the variables

-1x^2-17.5x-81=0

a = -1; b = -17.5; c = -81;
Δ = b2-4ac
Δ = -17.52-4·(-1)·(-81)
Δ = -17.75
Delta is less than zero, so there is no solution for the equation