Answer
Yes, this is the correct solution.
Suggestion: Do not continue to expand the equation as it is already simplified. Simply solve for $x$:
$x = 0, 10$
Work Step by Step
$x(x-10) = 0$
$x-10=0 \\\\ x=10 \\\\
\\\\\ x=0\\\\$
$x = 0, 10$
Simply looking at the equation, you can solve for $x$. There is no point of expanding the equation and simplifying it again as this results in the original equation. The equation is given in the simplest form.