Solve for x. Enter the solutions from least to greatest.
(x-3)^2-81=0
To solve for x, let's first simplify the expression:
(x-3)^2 - 81 = 0
(x-3)(x-3) -81 = 0
(x^2 - 6x + 9) - 81 = 0
x^2 - 6x + 9 - 81 = 0
x^2 - 6x - 72 = 0
Now, let's solve the quadratic equation by factoring:
(x-12)(x+6) = 0
Setting each factor to zero:
x-12 = 0 or x+6 = 0
x = 12 or x = -6
Therefore, the solutions are x = -6, 12. Enter the solutions from least to greatest:
-6, 12