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Simplifying (5c + 6)(5c + -6) = 0 Reorder the terms: (6 + 5c)(5c + -6) = 0 Reorder the terms: (6 + 5c)(-6 + 5c) = 0 Multiply (6 + 5c) * (-6 + 5c) (6(-6 + 5c) + 5c * (-6 + 5c)) = 0 ((-6 * 6 + 5c * 6) + 5c * (-6 + 5c)) = 0 ((-36 + 30c) + 5c * (-6 + 5c)) = 0 (-36 + 30c + (-6 * 5c + 5c * 5c)) = 0 (-36 + 30c + (-30c + 25c2)) = 0 Combine like terms: 30c + -30c = 0 (-36 + 0 + 25c2) = 0 (-36 + 25c2) = 0 Solving -36 + 25c2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 25c2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 25c2 = 0 + 36 25c2 = 0 + 36 Combine like terms: 0 + 36 = 36 25c2 = 36 Divide each side by '25'. c2 = 1.44 Simplifying c2 = 1.44 Take the square root of each side: c = {-1.2, 1.2}
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