-22x=9x^2

Solution for -22x=9x^2 equation:

-22x=9x^2

We move all terms to the left:

-22x-(9x^2)=0

determiningTheFunctionDomain
-9x^2-22x=0

a = -9; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·(-9)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-22}{2*-9}=\frac{0}{-18}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+22}{2*-9}=\frac{44}{-18}
=-2+4/9
$