(1500/y)*y=1500

Solution for (1500/y)*y=1500 equation:

(1500/y)*y=1500

We move all terms to the left:

(1500/y)*y-(1500)=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

(+1500/y)*y-1500=0

We multiply parentheses

1500y^2-1500=0

a = 1500; b = 0; c = -1500;
Δ = b2-4ac
Δ = 02-4·1500·(-1500)
Δ = 9000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9000000}=3000$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3000}{2*1500}=\frac{-3000}{3000}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3000}{2*1500}=\frac{3000}{3000}
=1
$