19s(3s-13)=0

Solution for 19s(3s-13)=0 equation:

19s(3s-13)=0

We multiply parentheses

57s^2-247s=0

a = 57; b = -247; c = 0;
Δ = b2-4ac
Δ = -2472-4·57·0
Δ = 61009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{61009}=247$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-247)-247}{2*57}=\frac{0}{114}
=0
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-247)+247}{2*57}=\frac{494}{114}
=4+1/3
$