-12x^2+1560x-43,200=0

Solution for -12x^2+1560x-43,200=0 equation:

-12x^2+1560x-43.200=0

We add all the numbers together, and all the variables

-12x^2+1560x-43.2=0

a = -12; b = 1560; c = -43.2;
Δ = b2-4ac
Δ = 15602-4·(-12)·(-43.2)
Δ = 2431526.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1560)-\sqrt{2431526.4}}{2*-12}=\frac{-1560-\sqrt{2431526.4}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1560)+\sqrt{2431526.4}}{2*-12}=\frac{-1560+\sqrt{2431526.4}}{-24}
$