19.61+24.39y(0.003262-y)=100-64.10y(1+y)

Solution for 19.61+24.39y(0.003262-y)=100-64.10y(1+y) equation:

19.61+24.39y(0.003262-y)=100-64.10y(1+y)

We move all terms to the left:

19.61+24.39y(0.003262-y)-(100-64.10y(1+y))=0

We add all the numbers together, and all the variables

24.39y(-1y+0.003262)-(100-64.10y(y+1))+19.61=0

We multiply parentheses

-24y^2+0.078288y-(100-64.10y(y+1))+19.61=0


We calculate terms in parentheses: -(100-64.10y(y+1)), so:

100-64.10y(y+1)

determiningTheFunctionDomain
-64.10y(y+1)+100

We multiply parentheses

-64y^2-64y+100

Back to the equation:

-(-64y^2-64y+100)


We get rid of parentheses

-24y^2+64y^2+64y+0.078288y-100+19.61=0

We add all the numbers together, and all the variables

40y^2+64.078288y-80.39=0

a = 40; b = 64.078288; c = -80.39;
Δ = b2-4ac
Δ = 64.0782882-4·40·(-80.39)
Δ = 16968.426993011
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{-(64.078288)-\sqrt{16968.426993011}}{2*40}=\frac{-64.078288-\sqrt{16968.426993011}}{80}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64.078288)+\sqrt{16968.426993011}}{2*40}=\frac{-64.078288+\sqrt{16968.426993011}}{80}
$