It would be to add nine to each side of the equation (Option C)
x² - 6x = 15
Now half the coefficient of x then square it and add it to both sides of the equation
x² - 6x + [tex] (\frac{6}{2}) [/tex]² = 15 + [tex] (\frac{6}{2}) [/tex]
x² - 6x + 9 = 24
(x² - 3) ² = 24