9y+y=9y2

Solution for 9y+y=9y2 equation:

9y+y=9y^2

We move all terms to the left:

9y+y-(9y^2)=0

determiningTheFunctionDomain
-9y^2+9y+y=0

We add all the numbers together, and all the variables

-9y^2+10y=0

a = -9; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-9)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-9}=\frac{-20}{-18}
=1+1/9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-9}=\frac{0}{-18}
=0
$