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Simplifying (3c + 5)(3c + -5) = 0 Reorder the terms: (5 + 3c)(3c + -5) = 0 Reorder the terms: (5 + 3c)(-5 + 3c) = 0 Multiply (5 + 3c) * (-5 + 3c) (5(-5 + 3c) + 3c * (-5 + 3c)) = 0 ((-5 * 5 + 3c * 5) + 3c * (-5 + 3c)) = 0 ((-25 + 15c) + 3c * (-5 + 3c)) = 0 (-25 + 15c + (-5 * 3c + 3c * 3c)) = 0 (-25 + 15c + (-15c + 9c2)) = 0 Combine like terms: 15c + -15c = 0 (-25 + 0 + 9c2) = 0 (-25 + 9c2) = 0 Solving -25 + 9c2 = 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 + 9c2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9c2 = 0 + 25 9c2 = 0 + 25 Combine like terms: 0 + 25 = 25 9c2 = 25 Divide each side by '9'. c2 = 2.777777778 Simplifying c2 = 2.777777778 Take the square root of each side: c = {-1.666666667, 1.666666667}
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