9x^2+9=585

Solution for 9x^2+9=585 equation:

9x^2+9=585

We move all terms to the left:

9x^2+9-(585)=0

We add all the numbers together, and all the variables

9x^2-576=0

a = 9; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·9·(-576)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*9}=\frac{-144}{18}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*9}=\frac{144}{18}
=8
$