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Simplifying 131.75 + -23x + 2x2 = 0 Solving 131.75 + -23x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 65.875 + -11.5x + x2 = 0 Move the constant term to the right: Add '-65.875' to each side of the equation. 65.875 + -11.5x + -65.875 + x2 = 0 + -65.875 Reorder the terms: 65.875 + -65.875 + -11.5x + x2 = 0 + -65.875 Combine like terms: 65.875 + -65.875 = 0.000 0.000 + -11.5x + x2 = 0 + -65.875 -11.5x + x2 = 0 + -65.875 Combine like terms: 0 + -65.875 = -65.875 -11.5x + x2 = -65.875 The x term is -11.5x. Take half its coefficient (-5.75). Square it (33.0625) and add it to both sides. Add '33.0625' to each side of the equation. -11.5x + 33.0625 + x2 = -65.875 + 33.0625 Reorder the terms: 33.0625 + -11.5x + x2 = -65.875 + 33.0625 Combine like terms: -65.875 + 33.0625 = -32.8125 33.0625 + -11.5x + x2 = -32.8125 Factor a perfect square on the left side: (x + -5.75)(x + -5.75) = -32.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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