3*(10/y)*y=30

Solution for 3*(10/y)*y=30 equation:

3(10/y)*y=30

We move all terms to the left:

3(10/y)*y-(30)=0


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

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

3(+10/y)*y-30=0

We multiply parentheses

30y^2-30=0

a = 30; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·30·(-30)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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