Factor the quadratic equation 0=6x^2+32x+30

Based on what i know about mean, this doesn't add up.

A20? -foot ladder is placed against a vertical wall of a? building, with the bottom of the ladder standing on level ground 19 feet from the base of the building. how high up the wall does the ladder? reach?

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much