One of your students solves the following equation and can't figure out why she only got two solutions rather than three like everyone else. She lost the solution x = 3. How do you explain to her what happened? x(x − 3) = x(x − 3)(x − 1) x(x − 3) _ x(x − 3)(x − 1) x - 3 x - 3 = x = x(x - 1) x = x² - X x² 2x = 0 x(x − 2) = 0 x = 0, x = 2

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