Frankie performed the following steps to solve the equation 2m²-24m = -54.

Step 1: 2m² 24m+54 -0

Step 2: 2 (m² - 12m +27) = 0

Step 3: 2 (m-9) (m-3) = 0

Step 4: m-9, -3, 2

Therefore, the solutions to the equation are m=9 and m=3.