60x^2-300x-3000=0

Solution for 60x^2-300x-3000=0 equation:

60x^2-300x-3000=0

a = 60; b = -300; c = -3000;
Δ = b2-4ac
Δ = -3002-4·60·(-3000)
Δ = 810000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{810000}=900$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-900}{2*60}=\frac{-600}{120}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+900}{2*60}=\frac{1200}{120}
=10
$