@ColinHirosky , welcome to the forum.
The best way to know if the video card will fit is, measure the space where the card will be installed from the Back I/O ports to the front of the case. Then, compare this measurement to the measurements of the video card that you choose. There should be enough space around it to allow for good airflow. Also, check to assure that your power supply unit (PSU) has enough wattage to run the card properly. It is 310W.
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I am not an HP Employee!!
Intelligence is God given. Wisdom is the sum of our mistakes!!