360/y-2y+2=360

Solution for 360/y-2y+2=360 equation:

360/y-2y+2=360

We move all terms to the left:

360/y-2y+2-(360)=0


Domain of the equation: y!=0

y∈R


We add all the numbers together, and all the variables

-2y+360/y-358=0

We multiply all the terms by the denominator


-2y*y-358*y+360=0

We add all the numbers together, and all the variables

-358y-2y*y+360=0

Wy multiply elements

-2y^2-358y+360=0

a = -2; b = -358; c = +360;
Δ = b2-4ac
Δ = -3582-4·(-2)·360
Δ = 131044
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{131044}=362$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-358)-362}{2*-2}=\frac{-4}{-4}
=1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-358)+362}{2*-2}=\frac{720}{-4}
=-180
$