-15x^2+600x+60=0

Solution for -15x^2+600x+60=0 equation:

-15x^2+600x+60=0

a = -15; b = 600; c = +60;
Δ = b2-4ac
Δ = 6002-4·(-15)·60
Δ = 363600
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:

$\sqrt{\Delta}=\sqrt{363600}=\sqrt{3600*101}=\sqrt{3600}*\sqrt{101}=60\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(600)-60\sqrt{101}}{2*-15}=\frac{-600-60\sqrt{101}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(600)+60\sqrt{101}}{2*-15}=\frac{-600+60\sqrt{101}}{-30}
$