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To solve for x in the equation x^2 - 81 = 0, we need to first add 81 to both sides to isolate x^2:
x^2 = 81
Next, we take the square root of both sides to solve for x:
x = ยฑโ81
x = ยฑ9
Therefore, the solutions to the equation x^2 - 81 = 0 are x = 9 and x = -9.