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Simplifying (1 + -1c)(1 + c) = 0 Multiply (1 + -1c) * (1 + c) (1(1 + c) + -1c * (1 + c)) = 0 ((1 * 1 + c * 1) + -1c * (1 + c)) = 0 ((1 + 1c) + -1c * (1 + c)) = 0 (1 + 1c + (1 * -1c + c * -1c)) = 0 (1 + 1c + (-1c + -1c2)) = 0 Combine like terms: 1c + -1c = 0 (1 + 0 + -1c2) = 0 (1 + -1c2) = 0 Solving 1 + -1c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c2 = 0 + -1 -1c2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1c2 = -1 Divide each side by '-1'. c2 = 1 Simplifying c2 = 1 Take the square root of each side: c = {-1, 1}
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