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Simplifying (2 + 7c)(2 + -7c) = 0 Multiply (2 + 7c) * (2 + -7c) (2(2 + -7c) + 7c * (2 + -7c)) = 0 ((2 * 2 + -7c * 2) + 7c * (2 + -7c)) = 0 ((4 + -14c) + 7c * (2 + -7c)) = 0 (4 + -14c + (2 * 7c + -7c * 7c)) = 0 (4 + -14c + (14c + -49c2)) = 0 Combine like terms: -14c + 14c = 0 (4 + 0 + -49c2) = 0 (4 + -49c2) = 0 Solving 4 + -49c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -49c2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -49c2 = 0 + -4 -49c2 = 0 + -4 Combine like terms: 0 + -4 = -4 -49c2 = -4 Divide each side by '-49'. c2 = 0.08163265306 Simplifying c2 = 0.08163265306 Take the square root of each side: c = {-0.285714286, 0.285714286}
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