Answer
$x=0$
Work Step by Step
The given equation is
$\Rightarrow -x^2+9=9$
Subtract $9$ from each side.
$\Rightarrow -x^2+9-9=9-9$
Simplify.
$\Rightarrow -x^2=0$
Multiply each side by $-1$.
$\Rightarrow -1(-x^2)=-1(0)$
Simplify.
$\Rightarrow x^2=0$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt {0}$
Simplify.
$\Rightarrow x=0$
Hence, the solution is $x=0$.