0=660x^2+524x+85

Solution for 0=660x^2+524x+85 equation:

0=660x^2+524x+85

We move all terms to the left:

0-(660x^2+524x+85)=0

We add all the numbers together, and all the variables

-(660x^2+524x+85)=0

We get rid of parentheses

-660x^2-524x-85=0

a = -660; b = -524; c = -85;
Δ = b2-4ac
Δ = -5242-4·(-660)·(-85)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-524)-224}{2*-660}=\frac{300}{-1320}
=-5/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-524)+224}{2*-660}=\frac{748}{-1320}
=-17/30
$