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Simplifying (7c + 4)(7c + -4) = 0 Reorder the terms: (4 + 7c)(7c + -4) = 0 Reorder the terms: (4 + 7c)(-4 + 7c) = 0 Multiply (4 + 7c) * (-4 + 7c) (4(-4 + 7c) + 7c * (-4 + 7c)) = 0 ((-4 * 4 + 7c * 4) + 7c * (-4 + 7c)) = 0 ((-16 + 28c) + 7c * (-4 + 7c)) = 0 (-16 + 28c + (-4 * 7c + 7c * 7c)) = 0 (-16 + 28c + (-28c + 49c2)) = 0 Combine like terms: 28c + -28c = 0 (-16 + 0 + 49c2) = 0 (-16 + 49c2) = 0 Solving -16 + 49c2 = 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 + 49c2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 49c2 = 0 + 16 49c2 = 0 + 16 Combine like terms: 0 + 16 = 16 49c2 = 16 Divide each side by '49'. c2 = 0.3265306122 Simplifying c2 = 0.3265306122 Take the square root of each side: c = {-0.571428571, 0.571428571}
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