6s^2+57s*72=0

Solution for 6s^2+57s*72=0 equation:

6s^2+57s*72=0

Wy multiply elements

6s^2+4104s=0

a = 6; b = 4104; c = 0;
Δ = b2-4ac
Δ = 41042-4·6·0
Δ = 16842816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16842816}=4104$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4104)-4104}{2*6}=\frac{-8208}{12}
=-684
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4104)+4104}{2*6}=\frac{0}{12}
=0
$