-2/2y=2/y-15

Solution for -2/2y=2/y-15 equation:

-2/2y=2/y-15

We move all terms to the left:

-2/2y-(2/y-15)=0


Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R



Domain of the equation: y-15)!=0

y∈R


We get rid of parentheses

-2/2y-2/y+15=0

We calculate fractions


(-2y)/2y^2+(-4y)/2y^2+15=0

We multiply all the terms by the denominator


(-2y)+(-4y)+15*2y^2=0

Wy multiply elements

30y^2+(-2y)+(-4y)=0

We get rid of parentheses

30y^2-2y-4y=0

We add all the numbers together, and all the variables

30y^2-6y=0

a = 30; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·30·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*30}=\frac{0}{60}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*30}=\frac{12}{60}
=1/5
$