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Simplifying (1 + -1m)(1 + m) = 0 Multiply (1 + -1m) * (1 + m) (1(1 + m) + -1m * (1 + m)) = 0 ((1 * 1 + m * 1) + -1m * (1 + m)) = 0 ((1 + 1m) + -1m * (1 + m)) = 0 (1 + 1m + (1 * -1m + m * -1m)) = 0 (1 + 1m + (-1m + -1m2)) = 0 Combine like terms: 1m + -1m = 0 (1 + 0 + -1m2) = 0 (1 + -1m2) = 0 Solving 1 + -1m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m2 = 0 + -1 -1m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1m2 = -1 Divide each side by '-1'. m2 = 1 Simplifying m2 = 1 Take the square root of each side: m = {-1, 1}
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