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Simplifying (c + 5)(c + -5) = 0 Reorder the terms: (5 + c)(c + -5) = 0 Reorder the terms: (5 + c)(-5 + c) = 0 Multiply (5 + c) * (-5 + c) (5(-5 + c) + c(-5 + c)) = 0 ((-5 * 5 + c * 5) + c(-5 + c)) = 0 ((-25 + 5c) + c(-5 + c)) = 0 (-25 + 5c + (-5 * c + c * c)) = 0 (-25 + 5c + (-5c + c2)) = 0 Combine like terms: 5c + -5c = 0 (-25 + 0 + c2) = 0 (-25 + c2) = 0 Solving -25 + c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + c2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + c2 = 0 + 25 c2 = 0 + 25 Combine like terms: 0 + 25 = 25 c2 = 25 Simplifying c2 = 25 Take the square root of each side: c = {-5, 5}
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