0=300x^2-1000x-100

Solution for 0=300x^2-1000x-100 equation:

0=300x^2-1000x-100

We move all terms to the left:

0-(300x^2-1000x-100)=0

We add all the numbers together, and all the variables

-(300x^2-1000x-100)=0

We get rid of parentheses

-300x^2+1000x+100=0

a = -300; b = 1000; c = +100;
Δ = b2-4ac
Δ = 10002-4·(-300)·100
Δ = 1120000
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:

$\sqrt{\Delta}=\sqrt{1120000}=\sqrt{160000*7}=\sqrt{160000}*\sqrt{7}=400\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1000)-400\sqrt{7}}{2*-300}=\frac{-1000-400\sqrt{7}}{-600}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1000)+400\sqrt{7}}{2*-300}=\frac{-1000+400\sqrt{7}}{-600}
$