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Simplifying (c + 1)(c + -1) = 0 Reorder the terms: (1 + c)(c + -1) = 0 Reorder the terms: (1 + c)(-1 + c) = 0 Multiply (1 + c) * (-1 + c) (1(-1 + c) + c(-1 + c)) = 0 ((-1 * 1 + c * 1) + c(-1 + c)) = 0 ((-1 + 1c) + c(-1 + c)) = 0 (-1 + 1c + (-1 * c + c * c)) = 0 (-1 + 1c + (-1c + c2)) = 0 Combine like terms: 1c + -1c = 0 (-1 + 0 + c2) = 0 (-1 + c2) = 0 Solving -1 + c2 = 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 + c2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c2 = 0 + 1 c2 = 0 + 1 Combine like terms: 0 + 1 = 1 c2 = 1 Simplifying c2 = 1 Take the square root of each side: c = {-1, 1}
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