60x^2-1800x-60000=0

Solution for 60x^2-1800x-60000=0 equation:

60x^2-1800x-60000=0

a = 60; b = -1800; c = -60000;
Δ = b2-4ac
Δ = -18002-4·60·(-60000)
Δ = 17640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17640000}=4200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1800)-4200}{2*60}=\frac{-2400}{120}
=-20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1800)+4200}{2*60}=\frac{6000}{120}
=50
$