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Simplifying (2c + 5)(2c + -5) = 0 Reorder the terms: (5 + 2c)(2c + -5) = 0 Reorder the terms: (5 + 2c)(-5 + 2c) = 0 Multiply (5 + 2c) * (-5 + 2c) (5(-5 + 2c) + 2c * (-5 + 2c)) = 0 ((-5 * 5 + 2c * 5) + 2c * (-5 + 2c)) = 0 ((-25 + 10c) + 2c * (-5 + 2c)) = 0 (-25 + 10c + (-5 * 2c + 2c * 2c)) = 0 (-25 + 10c + (-10c + 4c2)) = 0 Combine like terms: 10c + -10c = 0 (-25 + 0 + 4c2) = 0 (-25 + 4c2) = 0 Solving -25 + 4c2 = 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 + 4c2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4c2 = 0 + 25 4c2 = 0 + 25 Combine like terms: 0 + 25 = 25 4c2 = 25 Divide each side by '4'. c2 = 6.25 Simplifying c2 = 6.25 Take the square root of each side: c = {-2.5, 2.5}
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