5x^2=-58x

Solution for 5x^2=-58x equation:

5x^2=-58x

We move all terms to the left:

5x^2-(-58x)=0

We get rid of parentheses

5x^2+58x=0

a = 5; b = 58; c = 0;
Δ = b2-4ac
Δ = 582-4·5·0
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*5}=\frac{-116}{10}
=-11+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+58}{2*5}=\frac{0}{10}
=0
$