377/(y+16)=y

Solution for 377/(y+16)=y equation:

377/(y+16)=y

We move all terms to the left:

377/(y+16)-(y)=0


Domain of the equation: (y+16)!=0

We move all terms containing y to the left, all other terms to the right

y!=-16

y∈R


We add all the numbers together, and all the variables

-1y+377/(y+16)=0

We multiply all the terms by the denominator


-1y*(y+16)+377=0

We multiply parentheses

-y^2-16y+377=0

We add all the numbers together, and all the variables

-1y^2-16y+377=0

a = -1; b = -16; c = +377;
Δ = b2-4ac
Δ = -162-4·(-1)·377
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-42}{2*-1}=\frac{-26}{-2}
=+13
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+42}{2*-1}=\frac{58}{-2}
=-29
$