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To find the solutions of the quadratic equation x^2 - 25 = 0, we can use the factoring method.
Step 1: Rearrange the equation to make one side equal to zero.
x^2 - 25 = 0
x^2 = 25
Step 2: Take the square root of both sides.
β(x^2) = Β±β25
x = Β±5
Therefore, the solutions of the quadratic equation x^2 - 25 = 0 are x = 5 and x = -5.