0=-58x-3x^2

Solution for 0=-58x-3x^2 equation:

0=-58x-3x^2

We move all terms to the left:

0-(-58x-3x^2)=0

We add all the numbers together, and all the variables

-(-58x-3x^2)=0

We get rid of parentheses

3x^2+58x=0

a = 3; b = 58; c = 0;
Δ = b2-4ac
Δ = 582-4·3·0
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-58}{2*3}=\frac{-116}{6}
=-19+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+58}{2*3}=\frac{0}{6}
=0
$