30s^2-3000S-28000=0

Solution for 30s^2-3000S-28000=0 equation:

30s^2-3000-28000=0

We add all the numbers together, and all the variables

30s^2-31000=0

a = 30; b = 0; c = -31000;
Δ = b2-4ac
Δ = 02-4·30·(-31000)
Δ = 3720000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3720000}=\sqrt{40000*93}=\sqrt{40000}*\sqrt{93}=200\sqrt{93}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{93}}{2*30}=\frac{0-200\sqrt{93}}{60}
=-\frac{200\sqrt{93}}{60}
=-\frac{10\sqrt{93}}{3}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{93}}{2*30}=\frac{0+200\sqrt{93}}{60}
=\frac{200\sqrt{93}}{60}
=\frac{10\sqrt{93}}{3}
$