-15x^2+1650x-45000=0

Solution for -15x^2+1650x-45000=0 equation:

-15x^2+1650x-45000=0

a = -15; b = 1650; c = -45000;
Δ = b2-4ac
Δ = 16502-4·(-15)·(-45000)
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1650)-150}{2*-15}=\frac{-1800}{-30}
=+60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1650)+150}{2*-15}=\frac{-1500}{-30}
=+50
$