5s*s=360

Solution for 5s*s=360 equation:

5s*s=360

We move all terms to the left:

5s*s-(360)=0

Wy multiply elements

5s^2-360=0

a = 5; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·5·(-360)
Δ = 7200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*5}=\frac{0-60\sqrt{2}}{10}
=-\frac{60\sqrt{2}}{10}
=-6\sqrt{2}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*5}=\frac{0+60\sqrt{2}}{10}
=\frac{60\sqrt{2}}{10}
=6\sqrt{2}
$