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Simplifying (c + 9)(c + -9) = 0 Reorder the terms: (9 + c)(c + -9) = 0 Reorder the terms: (9 + c)(-9 + c) = 0 Multiply (9 + c) * (-9 + c) (9(-9 + c) + c(-9 + c)) = 0 ((-9 * 9 + c * 9) + c(-9 + c)) = 0 ((-81 + 9c) + c(-9 + c)) = 0 (-81 + 9c + (-9 * c + c * c)) = 0 (-81 + 9c + (-9c + c2)) = 0 Combine like terms: 9c + -9c = 0 (-81 + 0 + c2) = 0 (-81 + c2) = 0 Solving -81 + c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + c2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + c2 = 0 + 81 c2 = 0 + 81 Combine like terms: 0 + 81 = 81 c2 = 81 Simplifying c2 = 81 Take the square root of each side: c = {-9, 9}
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