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Simplifying (3c + 2)(3c + -2) = 0 Reorder the terms: (2 + 3c)(3c + -2) = 0 Reorder the terms: (2 + 3c)(-2 + 3c) = 0 Multiply (2 + 3c) * (-2 + 3c) (2(-2 + 3c) + 3c * (-2 + 3c)) = 0 ((-2 * 2 + 3c * 2) + 3c * (-2 + 3c)) = 0 ((-4 + 6c) + 3c * (-2 + 3c)) = 0 (-4 + 6c + (-2 * 3c + 3c * 3c)) = 0 (-4 + 6c + (-6c + 9c2)) = 0 Combine like terms: 6c + -6c = 0 (-4 + 0 + 9c2) = 0 (-4 + 9c2) = 0 Solving -4 + 9c2 = 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 + 9c2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9c2 = 0 + 4 9c2 = 0 + 4 Combine like terms: 0 + 4 = 4 9c2 = 4 Divide each side by '9'. c2 = 0.4444444444 Simplifying c2 = 0.4444444444 Take the square root of each side: c = {-0.666666667, 0.666666667}
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