4y=4/9y

Solution for 4y=4/9y equation:

4y=4/9y

We move all terms to the left:

4y-(4/9y)=0


Domain of the equation: 9y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

4y-(+4/9y)=0

We get rid of parentheses

4y-4/9y=0

We multiply all the terms by the denominator


4y*9y-4=0

Wy multiply elements

36y^2-4=0

a = 36; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·36·(-4)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*36}=\frac{-24}{72}
=-1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*36}=\frac{24}{72}
=1/3
$