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Simplifying (5c + 7)(5c + -7) = 0 Reorder the terms: (7 + 5c)(5c + -7) = 0 Reorder the terms: (7 + 5c)(-7 + 5c) = 0 Multiply (7 + 5c) * (-7 + 5c) (7(-7 + 5c) + 5c * (-7 + 5c)) = 0 ((-7 * 7 + 5c * 7) + 5c * (-7 + 5c)) = 0 ((-49 + 35c) + 5c * (-7 + 5c)) = 0 (-49 + 35c + (-7 * 5c + 5c * 5c)) = 0 (-49 + 35c + (-35c + 25c2)) = 0 Combine like terms: 35c + -35c = 0 (-49 + 0 + 25c2) = 0 (-49 + 25c2) = 0 Solving -49 + 25c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 25c2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 25c2 = 0 + 49 25c2 = 0 + 49 Combine like terms: 0 + 49 = 49 25c2 = 49 Divide each side by '25'. c2 = 1.96 Simplifying c2 = 1.96 Take the square root of each side: c = {-1.4, 1.4}
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