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Simplifying (c + 8)(c + -8) = 0 Reorder the terms: (8 + c)(c + -8) = 0 Reorder the terms: (8 + c)(-8 + c) = 0 Multiply (8 + c) * (-8 + c) (8(-8 + c) + c(-8 + c)) = 0 ((-8 * 8 + c * 8) + c(-8 + c)) = 0 ((-64 + 8c) + c(-8 + c)) = 0 (-64 + 8c + (-8 * c + c * c)) = 0 (-64 + 8c + (-8c + c2)) = 0 Combine like terms: 8c + -8c = 0 (-64 + 0 + c2) = 0 (-64 + c2) = 0 Solving -64 + c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + c2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + c2 = 0 + 64 c2 = 0 + 64 Combine like terms: 0 + 64 = 64 c2 = 64 Simplifying c2 = 64 Take the square root of each side: c = {-8, 8}
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