s(11-s)=s

Solution for s(11-s)=s equation:

s(11-s)=s

We move all terms to the left:

s(11-s)-(s)=0

We add all the numbers together, and all the variables

s(-1s+11)-s=0

We add all the numbers together, and all the variables

-1s+s(-1s+11)=0

We multiply parentheses

-1s^2-1s+11s=0

We add all the numbers together, and all the variables

-1s^2+10s=0

a = -1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-1}=\frac{-20}{-2}
=+10
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-1}=\frac{0}{-2}
=0
$