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Simplifying (3c + 6)(3c + -6) = 0 Reorder the terms: (6 + 3c)(3c + -6) = 0 Reorder the terms: (6 + 3c)(-6 + 3c) = 0 Multiply (6 + 3c) * (-6 + 3c) (6(-6 + 3c) + 3c * (-6 + 3c)) = 0 ((-6 * 6 + 3c * 6) + 3c * (-6 + 3c)) = 0 ((-36 + 18c) + 3c * (-6 + 3c)) = 0 (-36 + 18c + (-6 * 3c + 3c * 3c)) = 0 (-36 + 18c + (-18c + 9c2)) = 0 Combine like terms: 18c + -18c = 0 (-36 + 0 + 9c2) = 0 (-36 + 9c2) = 0 Solving -36 + 9c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 9c2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9c2 = 0 + 36 9c2 = 0 + 36 Combine like terms: 0 + 36 = 36 9c2 = 36 Divide each side by '9'. c2 = 4 Simplifying c2 = 4 Take the square root of each side: c = {-2, 2}
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