736/28-y+5y=612y/y

Solution for 736/28-y+5y=612y/y equation:

736/28-y+5y=612y/y

We move all terms to the left:

736/28-y+5y-(612y/y)=0


Domain of the equation: y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-y+5y-(+612y/y)+736/28=0

We add all the numbers together, and all the variables

4y-(+612y/y)+736/28=0

We get rid of parentheses

4y-612y/y+736/28=0

We calculate fractions


4y+(-17136y)/28y+736y/28y=0

We multiply all the terms by the denominator


4y*28y+(-17136y)+736y=0

We add all the numbers together, and all the variables

736y+4y*28y+(-17136y)=0

Wy multiply elements

112y^2+736y+(-17136y)=0

We get rid of parentheses

112y^2+736y-17136y=0

We add all the numbers together, and all the variables

112y^2-16400y=0

a = 112; b = -16400; c = 0;
Δ = b2-4ac
Δ = -164002-4·112·0
Δ = 268960000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{268960000}=16400$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16400)-16400}{2*112}=\frac{0}{224}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16400)+16400}{2*112}=\frac{32800}{224}
=146+3/7
$