s=600/15s

Solution for s=600/15s equation:

s=600/15s

We move all terms to the left:

s-(600/15s)=0


Domain of the equation: 15s)!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

s-(+600/15s)=0

We get rid of parentheses

s-600/15s=0

We multiply all the terms by the denominator


s*15s-600=0

Wy multiply elements

15s^2-600=0

a = 15; b = 0; c = -600;
Δ = b2-4ac
Δ = 02-4·15·(-600)
Δ = 36000
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:

$\sqrt{\Delta}=\sqrt{36000}=\sqrt{3600*10}=\sqrt{3600}*\sqrt{10}=60\sqrt{10}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{10}}{2*15}=\frac{0-60\sqrt{10}}{30}
=-\frac{60\sqrt{10}}{30}
=-2\sqrt{10}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{10}}{2*15}=\frac{0+60\sqrt{10}}{30}
=\frac{60\sqrt{10}}{30}
=2\sqrt{10}
$