/9x=x+8

Solution for /9x=x+8 equation:

/9x=x+8

We move all terms to the left:

/9x-(x+8)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We get rid of parentheses

/9x-x-8=0

We multiply all the terms by the denominator


-x*9x-8*9x+=0

We add all the numbers together, and all the variables

-x*9x-8*9x=0

Wy multiply elements

-9x^2-72x=0

a = -9; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·(-9)·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*-9}=\frac{0}{-18}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*-9}=\frac{144}{-18}
=-8
$