0=-45x^2+2250x-18000

Solution for 0=-45x^2+2250x-18000 equation:

0=-45x^2+2250x-18000

We move all terms to the left:

0-(-45x^2+2250x-18000)=0

We add all the numbers together, and all the variables

-(-45x^2+2250x-18000)=0

We get rid of parentheses

45x^2-2250x+18000=0

a = 45; b = -2250; c = +18000;
Δ = b2-4ac
Δ = -22502-4·45·18000
Δ = 1822500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1822500}=1350$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2250)-1350}{2*45}=\frac{900}{90}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2250)+1350}{2*45}=\frac{3600}{90}
=40
$