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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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