38.4y=38.4/12y=3+1/5

Solution for 38.4y=38.4/12y=3+1/5 equation:

38.4y=38.4/12y=3+1/5

We move all terms to the left:

38.4y-(38.4/12y)=0


Domain of the equation: 12y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

38.4y-(+38.4/12y)=0

We get rid of parentheses

38.4y-38.4/12y=0

We multiply all the terms by the denominator


(38.4y)*12y-38.4=0

We add all the numbers together, and all the variables

(+38.4y)*12y-38.4=0

We multiply parentheses

456y^2-38.4=0

a = 456; b = 0; c = -38.4;
Δ = b2-4ac
Δ = 02-4·456·(-38.4)
Δ = 70041.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{70041.6}}{2*456}=\frac{0-\sqrt{70041.6}}{912}
=-\frac{\sqrt{}}{912}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{70041.6}}{2*456}=\frac{0+\sqrt{70041.6}}{912}
=\frac{\sqrt{}}{912}
$