6-x/(x-36)(x+0)=0

Solution for 6-x/(x-36)(x+0)=0 equation:

6-x/(x-36)(x+0)=0


Domain of the equation: (x-36)(x+0)!=0

x∈R


We add all the numbers together, and all the variables

-x/(x-36)(+x)+6=0

We multiply parentheses ..

-x/(+x^2-36x)+6=0

We multiply all the terms by the denominator


6*(+x^2-36x)-x=0

We add all the numbers together, and all the variables

6*(+x^2-36x)-1x=0

We multiply parentheses

6x^2-216x-1x=0

We add all the numbers together, and all the variables

6x^2-217x=0

a = 6; b = -217; c = 0;
Δ = b2-4ac
Δ = -2172-4·6·0
Δ = 47089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{47089}=217$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-217)-217}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-217)+217}{2*6}=\frac{434}{12}
=36+1/6
$