96/2s=3s

Solution for 96/2s=3s equation:

96/2s=3s

We move all terms to the left:

96/2s-(3s)=0


Domain of the equation: 2s!=0

s!=0/2

s!=0

s∈R


We add all the numbers together, and all the variables

-3s+96/2s=0

We multiply all the terms by the denominator


-3s*2s+96=0

Wy multiply elements

-6s^2+96=0

a = -6; b = 0; c = +96;
Δ = b2-4ac
Δ = 02-4·(-6)·96
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-6}=\frac{-48}{-12}
=+4
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-6}=\frac{48}{-12}
=-4
$