44.4+32.26y(0.002372-y)=100-29.41y(1+y)

Solution for 44.4+32.26y(0.002372-y)=100-29.41y(1+y) equation:

44.4+32.26y(0.002372-y)=100-29.41y(1+y)

We move all terms to the left:

44.4+32.26y(0.002372-y)-(100-29.41y(1+y))=0

We add all the numbers together, and all the variables

32.26y(-1y+0.002372)-(100-29.41y(y+1))+44.4=0

We multiply parentheses

-32y^2+0.075904y-(100-29.41y(y+1))+44.4=0


We calculate terms in parentheses: -(100-29.41y(y+1)), so:

100-29.41y(y+1)

determiningTheFunctionDomain
-29.41y(y+1)+100

We multiply parentheses

-29y^2-29y+100

Back to the equation:

-(-29y^2-29y+100)


We get rid of parentheses

-32y^2+29y^2+29y+0.075904y-100+44.4=0

We add all the numbers together, and all the variables

-3y^2+29.075904y-55.6=0

a = -3; b = 29.075904; c = -55.6;
Δ = b2-4ac
Δ = 29.0759042-4·(-3)·(-55.6)
Δ = 178.20819341722
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{-(29.075904)-\sqrt{178.20819341722}}{2*-3}=\frac{-29.075904-\sqrt{178.20819341722}}{-6}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29.075904)+\sqrt{178.20819341722}}{2*-3}=\frac{-29.075904+\sqrt{178.20819341722}}{-6}
$