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Simplifying 3x2Z + x + -24 = 0 Reorder the terms: -24 + x + 3x2Z = 0 Solving -24 + x + 3x2Z = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3Z the coefficient of the squared term: Divide each side by '3Z'. -8Z-1 + 0.3333333333xZ-1 + x2 = 0Z-1 Move the constant term to the right: Add '8' to each side of the equation. -8Z-1 + 0.3333333333xZ-1 + 8 + x2 = 8 + 0Z-1 Reorder the terms: 8 + -8Z-1 + 0.3333333333xZ-1 + x2 = 8 + 0Z-1 Combine like terms: 8 + 0 = 8 8 + -8Z-1 + 0.3333333333xZ-1 + x2 = 8 The x term is xZ-1. Take half its coefficient (0.5Z-1). Square it (0.25Z-2) and add it to both sides. Add '0.25Z-2' to each side of the equation. 8 + -8Z-1 + 0.3333333333xZ-1 + 0.25Z-2 + x2 = 8 + 0.25Z-2 Reorder the terms: 8 + 0.25Z-2 + -8Z-1 + 0.3333333333xZ-1 + x2 = 8 + 0.25Z-2 Factor a perfect square on the left side: (x + 0.5Z-1)(x + 0.5Z-1) = 8 + 0.25Z-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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