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Simplifying (c + 4)(c + -4) = 0 Reorder the terms: (4 + c)(c + -4) = 0 Reorder the terms: (4 + c)(-4 + c) = 0 Multiply (4 + c) * (-4 + c) (4(-4 + c) + c(-4 + c)) = 0 ((-4 * 4 + c * 4) + c(-4 + c)) = 0 ((-16 + 4c) + c(-4 + c)) = 0 (-16 + 4c + (-4 * c + c * c)) = 0 (-16 + 4c + (-4c + c2)) = 0 Combine like terms: 4c + -4c = 0 (-16 + 0 + c2) = 0 (-16 + c2) = 0 Solving -16 + c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + c2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + c2 = 0 + 16 c2 = 0 + 16 Combine like terms: 0 + 16 = 16 c2 = 16 Simplifying c2 = 16 Take the square root of each side: c = {-4, 4}
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