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Simplifying (c + 3)(c + -3) = 0 Reorder the terms: (3 + c)(c + -3) = 0 Reorder the terms: (3 + c)(-3 + c) = 0 Multiply (3 + c) * (-3 + c) (3(-3 + c) + c(-3 + c)) = 0 ((-3 * 3 + c * 3) + c(-3 + c)) = 0 ((-9 + 3c) + c(-3 + c)) = 0 (-9 + 3c + (-3 * c + c * c)) = 0 (-9 + 3c + (-3c + c2)) = 0 Combine like terms: 3c + -3c = 0 (-9 + 0 + c2) = 0 (-9 + c2) = 0 Solving -9 + c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + c2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + c2 = 0 + 9 c2 = 0 + 9 Combine like terms: 0 + 9 = 9 c2 = 9 Simplifying c2 = 9 Take the square root of each side: c = {-3, 3}
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