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Simplifying (5c + 4)(5c + -4) = 0 Reorder the terms: (4 + 5c)(5c + -4) = 0 Reorder the terms: (4 + 5c)(-4 + 5c) = 0 Multiply (4 + 5c) * (-4 + 5c) (4(-4 + 5c) + 5c * (-4 + 5c)) = 0 ((-4 * 4 + 5c * 4) + 5c * (-4 + 5c)) = 0 ((-16 + 20c) + 5c * (-4 + 5c)) = 0 (-16 + 20c + (-4 * 5c + 5c * 5c)) = 0 (-16 + 20c + (-20c + 25c2)) = 0 Combine like terms: 20c + -20c = 0 (-16 + 0 + 25c2) = 0 (-16 + 25c2) = 0 Solving -16 + 25c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25c2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 25c2 = 0 + 16 25c2 = 0 + 16 Combine like terms: 0 + 16 = 16 25c2 = 16 Divide each side by '25'. c2 = 0.64 Simplifying c2 = 0.64 Take the square root of each side: c = {-0.8, 0.8}
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