6*10^-5x^2-300x-1=0

Solution for 6*10^-5x^2-300x-1=0 equation:

6*10^-5x^2-300x-1=0

We add all the numbers together, and all the variables

-5x^2-300x=0

a = -5; b = -300; c = 0;
Δ = b2-4ac
Δ = -3002-4·(-5)·0
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-300}{2*-5}=\frac{0}{-10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+300}{2*-5}=\frac{600}{-10}
=-60
$