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Simplifying (C + 4)(c2 + -3c + 5) = 0 Reorder the terms: (4 + C)(c2 + -3c + 5) = 0 Reorder the terms: (4 + C)(5 + -3c + c2) = 0 Multiply (4 + C) * (5 + -3c + c2) (4(5 + -3c + c2) + C(5 + -3c + c2)) = 0 ((5 * 4 + -3c * 4 + c2 * 4) + C(5 + -3c + c2)) = 0 ((20 + -12c + 4c2) + C(5 + -3c + c2)) = 0 (20 + -12c + 4c2 + (5 * C + -3c * C + c2 * C)) = 0 (20 + -12c + 4c2 + (5C + -3cC + c2C)) = 0 Reorder the terms: (20 + 5C + -12c + -3cC + 4c2 + c2C) = 0 (20 + 5C + -12c + -3cC + 4c2 + c2C) = 0 Solving 20 + 5C + -12c + -3cC + 4c2 + c2C = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5C + -12c + -3cC + 4c2 + -20 + c2C = 0 + -20 Reorder the terms: 20 + -20 + 5C + -12c + -3cC + 4c2 + c2C = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5C + -12c + -3cC + 4c2 + c2C = 0 + -20 5C + -12c + -3cC + 4c2 + c2C = 0 + -20 Combine like terms: 0 + -20 = -20 5C + -12c + -3cC + 4c2 + c2C = -20 Add '12c' to each side of the equation. 5C + -12c + -3cC + 4c2 + 12c + c2C = -20 + 12c Reorder the terms: 5C + -12c + 12c + -3cC + 4c2 + c2C = -20 + 12c Combine like terms: -12c + 12c = 0 5C + 0 + -3cC + 4c2 + c2C = -20 + 12c 5C + -3cC + 4c2 + c2C = -20 + 12c Add '-4c2' to each side of the equation. 5C + -3cC + 4c2 + -4c2 + c2C = -20 + 12c + -4c2 Combine like terms: 4c2 + -4c2 = 0 5C + -3cC + 0 + c2C = -20 + 12c + -4c2 5C + -3cC + c2C = -20 + 12c + -4c2 Reorder the terms: 20 + 5C + -12c + -3cC + 4c2 + c2C = -20 + 12c + -4c2 + 20 + -12c + 4c2 Reorder the terms: 20 + 5C + -12c + -3cC + 4c2 + c2C = -20 + 20 + 12c + -12c + -4c2 + 4c2 Combine like terms: -20 + 20 = 0 20 + 5C + -12c + -3cC + 4c2 + c2C = 0 + 12c + -12c + -4c2 + 4c2 20 + 5C + -12c + -3cC + 4c2 + c2C = 12c + -12c + -4c2 + 4c2 Combine like terms: 12c + -12c = 0 20 + 5C + -12c + -3cC + 4c2 + c2C = 0 + -4c2 + 4c2 20 + 5C + -12c + -3cC + 4c2 + c2C = -4c2 + 4c2 Combine like terms: -4c2 + 4c2 = 0 20 + 5C + -12c + -3cC + 4c2 + c2C = 0 The solution to this equation could not be determined.
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