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Simplifying (5c + -1)(6c + -3) = 30c2 + -21c + 3 Reorder the terms: (-1 + 5c)(6c + -3) = 30c2 + -21c + 3 Reorder the terms: (-1 + 5c)(-3 + 6c) = 30c2 + -21c + 3 Multiply (-1 + 5c) * (-3 + 6c) (-1(-3 + 6c) + 5c * (-3 + 6c)) = 30c2 + -21c + 3 ((-3 * -1 + 6c * -1) + 5c * (-3 + 6c)) = 30c2 + -21c + 3 ((3 + -6c) + 5c * (-3 + 6c)) = 30c2 + -21c + 3 (3 + -6c + (-3 * 5c + 6c * 5c)) = 30c2 + -21c + 3 (3 + -6c + (-15c + 30c2)) = 30c2 + -21c + 3 Combine like terms: -6c + -15c = -21c (3 + -21c + 30c2) = 30c2 + -21c + 3 Reorder the terms: 3 + -21c + 30c2 = 3 + -21c + 30c2 Add '-3' to each side of the equation. 3 + -21c + -3 + 30c2 = 3 + -21c + -3 + 30c2 Reorder the terms: 3 + -3 + -21c + 30c2 = 3 + -21c + -3 + 30c2 Combine like terms: 3 + -3 = 0 0 + -21c + 30c2 = 3 + -21c + -3 + 30c2 -21c + 30c2 = 3 + -21c + -3 + 30c2 Reorder the terms: -21c + 30c2 = 3 + -3 + -21c + 30c2 Combine like terms: 3 + -3 = 0 -21c + 30c2 = 0 + -21c + 30c2 -21c + 30c2 = -21c + 30c2 Add '21c' to each side of the equation. -21c + 21c + 30c2 = -21c + 21c + 30c2 Combine like terms: -21c + 21c = 0 0 + 30c2 = -21c + 21c + 30c2 30c2 = -21c + 21c + 30c2 Combine like terms: -21c + 21c = 0 30c2 = 0 + 30c2 30c2 = 30c2 Add '-30c2' to each side of the equation. 30c2 + -30c2 = 30c2 + -30c2 Combine like terms: 30c2 + -30c2 = 0 0 = 30c2 + -30c2 Combine like terms: 30c2 + -30c2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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