-9x^2=-576

Solution for -9x^2=-576 equation:

-9x^2=-576

We move all terms to the left:

-9x^2-(-576)=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
$