To find the values of x that satisfy the equation, we need to set each factor to zero and solve for x.

√x - 1 = 0
√x = 1
x = 1

x^2 - 2x - 24 = 0
(x - 6)(x + 4) = 0
x = 6 or x = -4

9x^2 - 12x + 4 = 0
(3x - 2)(3x - 2) = 0
x = 2/3

Therefore, the values of x that satisfy the equation are x = 1, x = 6, x = -4, and x = 2/3.