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Simplifying (5c + 5)(5c + -5) = 0 Reorder the terms: (5 + 5c)(5c + -5) = 0 Reorder the terms: (5 + 5c)(-5 + 5c) = 0 Multiply (5 + 5c) * (-5 + 5c) (5(-5 + 5c) + 5c * (-5 + 5c)) = 0 ((-5 * 5 + 5c * 5) + 5c * (-5 + 5c)) = 0 ((-25 + 25c) + 5c * (-5 + 5c)) = 0 (-25 + 25c + (-5 * 5c + 5c * 5c)) = 0 (-25 + 25c + (-25c + 25c2)) = 0 Combine like terms: 25c + -25c = 0 (-25 + 0 + 25c2) = 0 (-25 + 25c2) = 0 Solving -25 + 25c2 = 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 + 25c2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 25c2 = 0 + 25 25c2 = 0 + 25 Combine like terms: 0 + 25 = 25 25c2 = 25 Divide each side by '25'. c2 = 1 Simplifying c2 = 1 Take the square root of each side: c = {-1, 1}
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