Consider the following calculation x (x 2) x 2 x 2 x 2 x 2 0 (x 1)(x 2) 0 x 1, 2 Is x 1 a solution of the original equation Solve the equation x (x 2) correctly Your solution should include words to express the logic involved

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Consider the following calculation  x   (x 2) x 2   x 2 x 2 x 2   0 (x 1)(x 2)   0 x   1, 2 Is x   1 a solution of the original equation  Solve the equation x   (x 2) correctly  Your solution should include words to express the logic involved

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Question: Consider the following calculation: x = (x 2) x^2 = x 2 x^2 x 2 = 0 (x 1)(x 2) = 0 x = 1,

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