58(w)(w+8)=0

Solution for 58(w)(w+8)=0 equation:

58(w)(w+8)=0

We multiply parentheses

58w^2+464w=0

a = 58; b = 464; c = 0;
Δ = b2-4ac
Δ = 4642-4·58·0
Δ = 215296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{215296}=464$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(464)-464}{2*58}=\frac{-928}{116}
=-8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(464)+464}{2*58}=\frac{0}{116}
=0
$