0=2x2+300x-27000

Solution for 0=2x2+300x-27000 equation:

0=2x^2+300x-27000

We move all terms to the left:

0-(2x^2+300x-27000)=0

We add all the numbers together, and all the variables

-(2x^2+300x-27000)=0

We get rid of parentheses

-2x^2-300x+27000=0

a = -2; b = -300; c = +27000;
Δ = b2-4ac
Δ = -3002-4·(-2)·27000
Δ = 306000
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:

$\sqrt{\Delta}=\sqrt{306000}=\sqrt{3600*85}=\sqrt{3600}*\sqrt{85}=60\sqrt{85}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-60\sqrt{85}}{2*-2}=\frac{300-60\sqrt{85}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+60\sqrt{85}}{2*-2}=\frac{300+60\sqrt{85}}{-4}
$