1. **State the problem:** Solve the quadratic equation $X \times x + 9 = 0$. 2. **Rewrite the equation:** The equation can be written as $Xx + 9 = 0$. 3. **Isolate the variable term:** Subtract 9 from both sides: $$Xx + 9 - 9 = 0 - 9$$ $$Xx = -9$$ 4. **Solve for $x$:** Divide both sides by $X$ (assuming $X \neq 0$): $$x = \frac{-9}{X}$$ 5. **Simplify:** There are no common factors to cancel, so the solution is: $$x = \frac{-9}{X}$$ **Final answer:** $$x = \frac{-9}{X}$$