Y-0.17y=y(1-0.17y)

Solution for Y-0.17y=y(1-0.17y) equation:

-0.17Y=Y(1-0.17Y)

We move all terms to the left:

-0.17Y-(Y(1-0.17Y))=0

We add all the numbers together, and all the variables

-0.17Y-(Y(-0.17Y+1))=0


We calculate terms in parentheses: -(Y(-0.17Y+1)), so:

Y(-0.17Y+1)

We multiply parentheses

0Y^2+Y

We add all the numbers together, and all the variables

Y^2+Y

Back to the equation:

-(Y^2+Y)


We get rid of parentheses

-Y^2-0.17Y-Y=0

We add all the numbers together, and all the variables

-1Y^2-1.17Y=0

a = -1; b = -1.17; c = 0;
Δ = b2-4ac
Δ = -1.172-4·(-1)·0
Δ = 1.3689
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{-(-1.17)-\sqrt{1.3689}}{2*-1}=\frac{1.17-\sqrt{1.3689}}{-2}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.17)+\sqrt{1.3689}}{2*-1}=\frac{1.17+\sqrt{1.3689}}{-2}
$