2y/y=4y

Solution for 2y/y=4y equation:

2y/y=4y

We move all terms to the left:

2y/y-(4y)=0


Domain of the equation: y!=0

y∈R


We add all the numbers together, and all the variables

-4y+2y/y=0

We multiply all the terms by the denominator


-4y*y+2y=0

We add all the numbers together, and all the variables

2y-4y*y=0

Wy multiply elements

-4y^2+2y=0

a = -4; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-4)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-4}=\frac{-4}{-8}
=1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-4}=\frac{0}{-8}
=0
$