22.22+22.47y(0.003064-y)=100-65.36y(1+y)

Solution for 22.22+22.47y(0.003064-y)=100-65.36y(1+y) equation:

22.22+22.47y(0.003064-y)=100-65.36y(1+y)

We move all terms to the left:

22.22+22.47y(0.003064-y)-(100-65.36y(1+y))=0

We add all the numbers together, and all the variables

22.47y(-1y+0.003064)-(100-65.36y(y+1))+22.22=0

We multiply parentheses

-22y^2+0.067408y-(100-65.36y(y+1))+22.22=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

-22y^2+65y^2+65y+0.067408y-100+22.22=0

We add all the numbers together, and all the variables

43y^2+65.067408y-77.78=0

a = 43; b = 65.067408; c = -77.78;
Δ = b2-4ac
Δ = 65.0674082-4·43·(-77.78)
Δ = 17611.927583838
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{-(65.067408)-\sqrt{17611.927583838}}{2*43}=\frac{-65.067408-\sqrt{17611.927583838}}{86}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(65.067408)+\sqrt{17611.927583838}}{2*43}=\frac{-65.067408+\sqrt{17611.927583838}}{86}
$