25.97+18.87y(0.003122-y)=100-65.36y(1+y)

Solution for 25.97+18.87y(0.003122-y)=100-65.36y(1+y) equation:

25.97+18.87y(0.003122-y)=100-65.36y(1+y)

We move all terms to the left:

25.97+18.87y(0.003122-y)-(100-65.36y(1+y))=0

We add all the numbers together, and all the variables

18.87y(-1y+0.003122)-(100-65.36y(y+1))+25.97=0

We multiply parentheses

-18y^2+0.056196y-(100-65.36y(y+1))+25.97=0


We calculate terms in parentheses: -(100-65.36y(y+1)), so:

100-65.36y(y+1)

determiningTheFunctionDomain
-65.36y(y+1)+100

We multiply parentheses

-65y^2-65y+100

Back to the equation:

-(-65y^2-65y+100)


We get rid of parentheses

-18y^2+65y^2+65y+0.056196y-100+25.97=0

We add all the numbers together, and all the variables

47y^2+65.056196y-74.03=0

a = 47; b = 65.056196; c = -74.03;
Δ = b2-4ac
Δ = 65.0561962-4·47·(-74.03)
Δ = 18149.94863799
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{-(65.056196)-\sqrt{18149.94863799}}{2*47}=\frac{-65.056196-\sqrt{18149.94863799}}{94}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(65.056196)+\sqrt{18149.94863799}}{2*47}=\frac{-65.056196+\sqrt{18149.94863799}}{94}
$