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Simplifying (2c + 4)(2c + -4) = 0 Reorder the terms: (4 + 2c)(2c + -4) = 0 Reorder the terms: (4 + 2c)(-4 + 2c) = 0 Multiply (4 + 2c) * (-4 + 2c) (4(-4 + 2c) + 2c * (-4 + 2c)) = 0 ((-4 * 4 + 2c * 4) + 2c * (-4 + 2c)) = 0 ((-16 + 8c) + 2c * (-4 + 2c)) = 0 (-16 + 8c + (-4 * 2c + 2c * 2c)) = 0 (-16 + 8c + (-8c + 4c2)) = 0 Combine like terms: 8c + -8c = 0 (-16 + 0 + 4c2) = 0 (-16 + 4c2) = 0 Solving -16 + 4c2 = 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 + 4c2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4c2 = 0 + 16 4c2 = 0 + 16 Combine like terms: 0 + 16 = 16 4c2 = 16 Divide each side by '4'. c2 = 4 Simplifying c2 = 4 Take the square root of each side: c = {-2, 2}
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