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Simplifying (4c + 5)(4c + -5) = 0 Reorder the terms: (5 + 4c)(4c + -5) = 0 Reorder the terms: (5 + 4c)(-5 + 4c) = 0 Multiply (5 + 4c) * (-5 + 4c) (5(-5 + 4c) + 4c * (-5 + 4c)) = 0 ((-5 * 5 + 4c * 5) + 4c * (-5 + 4c)) = 0 ((-25 + 20c) + 4c * (-5 + 4c)) = 0 (-25 + 20c + (-5 * 4c + 4c * 4c)) = 0 (-25 + 20c + (-20c + 16c2)) = 0 Combine like terms: 20c + -20c = 0 (-25 + 0 + 16c2) = 0 (-25 + 16c2) = 0 Solving -25 + 16c2 = 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 + 16c2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 16c2 = 0 + 25 16c2 = 0 + 25 Combine like terms: 0 + 25 = 25 16c2 = 25 Divide each side by '16'. c2 = 1.5625 Simplifying c2 = 1.5625 Take the square root of each side: c = {-1.25, 1.25}
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