-15x^2+1950x-60,000=0

Solution for -15x^2+1950x-60,000=0 equation:

-15x^2+1950x-60.000=0

We add all the numbers together, and all the variables

-15x^2+1950x-60=0

a = -15; b = 1950; c = -60;
Δ = b2-4ac
Δ = 19502-4·(-15)·(-60)
Δ = 3798900
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:

$\sqrt{\Delta}=\sqrt{3798900}=\sqrt{8100*469}=\sqrt{8100}*\sqrt{469}=90\sqrt{469}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1950)-90\sqrt{469}}{2*-15}=\frac{-1950-90\sqrt{469}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1950)+90\sqrt{469}}{2*-15}=\frac{-1950+90\sqrt{469}}{-30}
$