0=9x^2-360x+1000

Solution for 0=9x^2-360x+1000 equation:

0=9x^2-360x+1000

We move all terms to the left:

0-(9x^2-360x+1000)=0

We add all the numbers together, and all the variables

-(9x^2-360x+1000)=0

We get rid of parentheses

-9x^2+360x-1000=0

a = -9; b = 360; c = -1000;
Δ = b2-4ac
Δ = 3602-4·(-9)·(-1000)
Δ = 93600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{93600}=\sqrt{3600*26}=\sqrt{3600}*\sqrt{26}=60\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-60\sqrt{26}}{2*-9}=\frac{-360-60\sqrt{26}}{-18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+60\sqrt{26}}{2*-9}=\frac{-360+60\sqrt{26}}{-18}
$