0=-15x^2+1650x-45,000

Solution for 0=-15x^2+1650x-45,000 equation:

0=-15x^2+1650x-45.000

We move all terms to the left:

0-(-15x^2+1650x-45.000)=0

We add all the numbers together, and all the variables

-(-15x^2+1650x-45.000)=0

We get rid of parentheses

15x^2-1650x+45.000=0

We add all the numbers together, and all the variables

15x^2-1650x+45=0

a = 15; b = -1650; c = +45;
Δ = b2-4ac
Δ = -16502-4·15·45
Δ = 2719800
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:

$\sqrt{\Delta}=\sqrt{2719800}=\sqrt{900*3022}=\sqrt{900}*\sqrt{3022}=30\sqrt{3022}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1650)-30\sqrt{3022}}{2*15}=\frac{1650-30\sqrt{3022}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1650)+30\sqrt{3022}}{2*15}=\frac{1650+30\sqrt{3022}}{30}
$