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Simplifying (3c + 8)(3c + -8) = 0 Reorder the terms: (8 + 3c)(3c + -8) = 0 Reorder the terms: (8 + 3c)(-8 + 3c) = 0 Multiply (8 + 3c) * (-8 + 3c) (8(-8 + 3c) + 3c * (-8 + 3c)) = 0 ((-8 * 8 + 3c * 8) + 3c * (-8 + 3c)) = 0 ((-64 + 24c) + 3c * (-8 + 3c)) = 0 (-64 + 24c + (-8 * 3c + 3c * 3c)) = 0 (-64 + 24c + (-24c + 9c2)) = 0 Combine like terms: 24c + -24c = 0 (-64 + 0 + 9c2) = 0 (-64 + 9c2) = 0 Solving -64 + 9c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 9c2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 9c2 = 0 + 64 9c2 = 0 + 64 Combine like terms: 0 + 64 = 64 9c2 = 64 Divide each side by '9'. c2 = 7.111111111 Simplifying c2 = 7.111111111 Take the square root of each side: c = {-2.666666667, 2.666666667}
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