Can someone please help me with this; im a lil bit confused Q. solve for the values of x in the equation 2x² - 5x - 12 = 0 using the quadratic equation formula.​

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.