3(2/4.8y)*1.6y=2

Solution for 3(2/4.8y)*1.6y=2 equation:

3(2/4.8y)*1.6y=2

We move all terms to the left:

3(2/4.8y)*1.6y-(2)=0


Domain of the equation: 4.8y)*1.6y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

3(+2/4.8y)*1.6y-2=0

We multiply parentheses

6y^2-2=0

a = 6; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·6·(-2)
Δ = 48
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3}}{2*6}=\frac{0-4\sqrt{3}}{12}
=-\frac{4\sqrt{3}}{12}
=-\frac{\sqrt{3}}{3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3}}{2*6}=\frac{0+4\sqrt{3}}{12}
=\frac{4\sqrt{3}}{12}
=\frac{\sqrt{3}}{3}
$