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Simplifying (C + 4)(c2 + -10c + -6) = 0 Reorder the terms: (4 + C)(c2 + -10c + -6) = 0 Reorder the terms: (4 + C)(-6 + -10c + c2) = 0 Multiply (4 + C) * (-6 + -10c + c2) (4(-6 + -10c + c2) + C(-6 + -10c + c2)) = 0 ((-6 * 4 + -10c * 4 + c2 * 4) + C(-6 + -10c + c2)) = 0 ((-24 + -40c + 4c2) + C(-6 + -10c + c2)) = 0 (-24 + -40c + 4c2 + (-6 * C + -10c * C + c2 * C)) = 0 (-24 + -40c + 4c2 + (-6C + -10cC + c2C)) = 0 Reorder the terms: (-24 + -6C + -40c + -10cC + 4c2 + c2C) = 0 (-24 + -6C + -40c + -10cC + 4c2 + c2C) = 0 Solving -24 + -6C + -40c + -10cC + 4c2 + c2C = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -6C + -40c + -10cC + 4c2 + 24 + c2C = 0 + 24 Reorder the terms: -24 + 24 + -6C + -40c + -10cC + 4c2 + c2C = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6C + -40c + -10cC + 4c2 + c2C = 0 + 24 -6C + -40c + -10cC + 4c2 + c2C = 0 + 24 Combine like terms: 0 + 24 = 24 -6C + -40c + -10cC + 4c2 + c2C = 24 Add '40c' to each side of the equation. -6C + -40c + -10cC + 4c2 + 40c + c2C = 24 + 40c Reorder the terms: -6C + -40c + 40c + -10cC + 4c2 + c2C = 24 + 40c Combine like terms: -40c + 40c = 0 -6C + 0 + -10cC + 4c2 + c2C = 24 + 40c -6C + -10cC + 4c2 + c2C = 24 + 40c Add '-4c2' to each side of the equation. -6C + -10cC + 4c2 + -4c2 + c2C = 24 + 40c + -4c2 Combine like terms: 4c2 + -4c2 = 0 -6C + -10cC + 0 + c2C = 24 + 40c + -4c2 -6C + -10cC + c2C = 24 + 40c + -4c2 Reorder the terms: -24 + -6C + -40c + -10cC + 4c2 + c2C = 24 + 40c + -4c2 + -24 + -40c + 4c2 Reorder the terms: -24 + -6C + -40c + -10cC + 4c2 + c2C = 24 + -24 + 40c + -40c + -4c2 + 4c2 Combine like terms: 24 + -24 = 0 -24 + -6C + -40c + -10cC + 4c2 + c2C = 0 + 40c + -40c + -4c2 + 4c2 -24 + -6C + -40c + -10cC + 4c2 + c2C = 40c + -40c + -4c2 + 4c2 Combine like terms: 40c + -40c = 0 -24 + -6C + -40c + -10cC + 4c2 + c2C = 0 + -4c2 + 4c2 -24 + -6C + -40c + -10cC + 4c2 + c2C = -4c2 + 4c2 Combine like terms: -4c2 + 4c2 = 0 -24 + -6C + -40c + -10cC + 4c2 + c2C = 0 The solution to this equation could not be determined.
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