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.