15.87+24.39y(0.003797-y)=100-68.03y(1+y)

Solution for 15.87+24.39y(0.003797-y)=100-68.03y(1+y) equation:

15.87+24.39y(0.003797-y)=100-68.03y(1+y)

We move all terms to the left:

15.87+24.39y(0.003797-y)-(100-68.03y(1+y))=0

We add all the numbers together, and all the variables

24.39y(-1y+0.003797)-(100-68.03y(y+1))+15.87=0

We multiply parentheses

-24y^2+0.091128y-(100-68.03y(y+1))+15.87=0


We calculate terms in parentheses: -(100-68.03y(y+1)), so:

100-68.03y(y+1)

determiningTheFunctionDomain
-68.03y(y+1)+100

We multiply parentheses

-68y^2-68y+100

Back to the equation:

-(-68y^2-68y+100)


We get rid of parentheses

-24y^2+68y^2+68y+0.091128y-100+15.87=0

We add all the numbers together, and all the variables

44y^2+68.091128y-84.13=0

a = 44; b = 68.091128; c = -84.13;
Δ = b2-4ac
Δ = 68.0911282-4·44·(-84.13)
Δ = 19443.281712312
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(68.091128)-\sqrt{19443.281712312}}{2*44}=\frac{-68.091128-\sqrt{19443.281712312}}{88}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(68.091128)+\sqrt{19443.281712312}}{2*44}=\frac{-68.091128+\sqrt{19443.281712312}}{88}
$